643 lines
20 KiB
C#
643 lines
20 KiB
C#
/*
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* CVS identifier:
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*
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* $Id: Subband.java,v 1.47 2001/10/18 14:27:14 grosbois Exp $
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*
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* Class: Subband
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*
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* Description: Asbtract element for a tree strcuture for
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* a description of subbands.
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*
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*
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*
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* COPYRIGHT:
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*
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* This software module was originally developed by Raphaël Grosbois and
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* Diego Santa Cruz (Swiss Federal Institute of Technology-EPFL); Joel
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* Askelöf (Ericsson Radio Systems AB); and Bertrand Berthelot, David
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* Bouchard, Félix Henry, Gerard Mozelle and Patrice Onno (Canon Research
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* Centre France S.A) in the course of development of the JPEG2000
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* standard as specified by ISO/IEC 15444 (JPEG 2000 Standard). This
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* software module is an implementation of a part of the JPEG 2000
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* Standard. Swiss Federal Institute of Technology-EPFL, Ericsson Radio
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* Systems AB and Canon Research Centre France S.A (collectively JJ2000
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* Partners) agree not to assert against ISO/IEC and users of the JPEG
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* 2000 Standard (Users) any of their rights under the copyright, not
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* including other intellectual property rights, for this software module
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* with respect to the usage by ISO/IEC and Users of this software module
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* or modifications thereof for use in hardware or software products
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* claiming conformance to the JPEG 2000 Standard. Those intending to use
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* this software module in hardware or software products are advised that
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* their use may infringe existing patents. The original developers of
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* this software module, JJ2000 Partners and ISO/IEC assume no liability
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* for use of this software module or modifications thereof. No license
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* or right to this software module is granted for non JPEG 2000 Standard
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* conforming products. JJ2000 Partners have full right to use this
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* software module for his/her own purpose, assign or donate this
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* software module to any third party and to inhibit third parties from
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* using this software module for non JPEG 2000 Standard conforming
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* products. This copyright notice must be included in all copies or
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* derivative works of this software module.
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*
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* Copyright (c) 1999/2000 JJ2000 Partners.
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* */
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using System;
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using CSJ2K.j2k.image;
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namespace CSJ2K.j2k.wavelet
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{
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/// <summary> This abstract class represents a subband in a bidirectional tree structure
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/// that describes the subband decomposition for a wavelet transform. This
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/// class is implemented by the SubbandAn and SubbandSyn classes, which are for
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/// the analysis and synthesis sides respectively.
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///
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/// <p>The element can be either a node or a leaf of the tree. If it is a node,
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/// it has 4 descendants (LL, HL, LH and HH). If it is a leaf, it has no
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/// descendant.</p>
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///
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/// <p>The tree is bidirectional. Each element in the tree structure has a
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/// "parent", which is the subband from which the element was obtained by
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/// decomposition. The only exception is the root element which, for obvious
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/// reasons, has no parent (i.e. it is null).</p>
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///
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/// </summary>
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/// <seealso cref="jj2000.j2k.wavelet.analysis.SubbandAn">
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/// </seealso>
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/// <seealso cref="jj2000.j2k.wavelet.synthesis.SubbandSyn">
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///
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/// </seealso>
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public abstract class Subband
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{
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/// <summary> Returns the parent of this subband. The parent of a subband is the
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/// subband from which this one was obtained by decomposition. The root
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/// element has no parent subband (null).
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///
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/// </summary>
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/// <returns> The parent subband, or null for the root one.
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///
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/// </returns>
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public abstract Subband Parent{get;}
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/// <summary> Returns the LL child subband of this subband.
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///
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/// </summary>
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/// <returns> The LL child subband, or null if there are no childs.
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///
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/// </returns>
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public abstract Subband LL{get;}
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/// <summary> Returns the HL (horizontal high-pass) child subband of this subband.
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///
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/// </summary>
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/// <returns> The HL child subband, or null if there are no childs.
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///
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/// </returns>
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public abstract Subband HL{get;}
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/// <summary> Returns the LH (vertical high-pass) child subband of this subband.
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///
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/// </summary>
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/// <returns> The LH child subband, or null if there are no childs.
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///
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/// </returns>
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public abstract Subband LH{get;}
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/// <summary> Returns the HH child subband of this subband.
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///
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/// </summary>
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/// <returns> The HH child subband, or null if there are no childs.
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///
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/// </returns>
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public abstract Subband HH{get;}
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/// <summary> Returns the first leaf subband element in the next higher resolution
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/// level.
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///
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/// </summary>
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/// <returns> The first leaf element in the next higher resolution level, or
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/// null if there is no higher resolution level.
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///
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/// </returns>
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virtual public Subband NextResLevel
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{
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get
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{
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Subband sb;
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if (level == 0)
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{
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// No higher res. level
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return null;
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}
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// Go up until we get to a different resolution level
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sb = this;
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do
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{
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sb = sb.Parent;
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if (sb == null)
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{
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// No higher resolution level
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return null;
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}
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}
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while (sb.resLvl == resLvl);
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// Now go down to HL, which is in next higher resolution level
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sb = sb.HL;
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// Now go down LL until get to a leaf
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while (sb.isNode)
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{
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sb = sb.LL;
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}
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return sb;
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}
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}
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/// <summary> This function returns the horizontal wavelet filter relevant to this
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/// subband
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///
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/// </summary>
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/// <returns> The horizontal wavelet filter
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///
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/// </returns>
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public abstract WaveletFilter HorWFilter{get;}
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/// <summary> This function returns the vertical wavelet filter relevant to this
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/// subband
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///
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/// </summary>
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/// <returns> The vertical wavelet filter
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///
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/// </returns>
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public abstract WaveletFilter VerWFilter{get;}
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/// <summary>The ID for the LL orientation </summary>
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public const int WT_ORIENT_LL = 0;
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/// <summary>The ID for the HL (horizontal high-pass) orientation </summary>
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public const int WT_ORIENT_HL = 1;
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/// <summary>The ID for the LH (vertical high-pass) orientation </summary>
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public const int WT_ORIENT_LH = 2;
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/// <summary>The ID for the HH orientation </summary>
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public const int WT_ORIENT_HH = 3;
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/// <summary>True if it is a node in the tree, false if it is a leaf. </summary>
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public bool isNode;
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/// <summary>The orientation of this subband (WT_ORIENT_LL, WT_ORIENT_HL,
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/// WT_ORIENT_LH, WT_ORIENT_HH).
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/// </summary>
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public int orientation;
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/// <summary>The level in the tree to which this subband belongs, which is the
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/// number of performed wavelet decompositions to get this subband. It is 0
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/// for the top-level (i.e. root) node.
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/// </summary>
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public int level;
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/// <summary>The resolution level to which this subband contributes. 0 is the
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/// smallest resolution level (the one with the lowest frequency LL
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/// subband).
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/// </summary>
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public int resLvl;
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/// <summary>The number of code-blocks (in both directions) contained in this
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/// subband.
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/// </summary>
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public Coord numCb = null;
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/// <summary> The base 2 exponent of the analysis gain of the subband. The analysis
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/// gain of a subband is defined as the gain of the previous subband
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/// (i.e. the one from which this one was obtained) multiplied by the line
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/// gain and by the column gain. The line (column) gain is the gain of the
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/// line (column) filter that was used to obtain it, which is the DC gain
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/// for a low-pass filter and the Nyquist gain for a high-pass filter. It
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/// is 0 by default.
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///
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/// <p>Using the base 2 exponent of the value contrains the possible gains
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/// to powers of 2. However this is perfectly compatible to the filter
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/// normalization policy assumed here. See the split() method for more
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/// details.</p>
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///
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/// </summary>
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/// <seealso cref="split">
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///
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/// </seealso>
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public int anGainExp;
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/// <summary> The subband index within its resolution level. This value uniquely
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/// identifies a subband within a resolution level and a decomposition
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/// level within it. Note that only leaf elements represent "real"
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/// subbands, while node elements represent only intermediate stages.
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///
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/// <p>It is defined recursively. The root node gets a value of 0. For a
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/// given node, with a subband index 'b', its LL descendant gets 4*b, its
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/// HL descendant 4*b+1, its LH descendant 4*b+2, and its HH descendant
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/// 4*b+3, for their subband indexes.</p>
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///
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/// </summary>
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public int sbandIdx = 0;
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/// <summary> The horizontal coordinate of the upper-left corner of the subband, with
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/// respect to the canvas origin, in the component's grid and subband's
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/// decomposition level. This is the real horizontal index of the first
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/// column of this subband. If even the horizontal decomposition of this
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/// subband should be done with the low-pass-first convention. If odd it
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/// should be done with the high-pass-first convention.
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///
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/// </summary>
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public int ulcx;
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/// <summary> The vertical coordinate of the upper-left corner of the subband, with
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/// respect to the canvas origin, in the component's grid and subband's
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/// decomposition level. This is the real vertical index of the first
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/// column of this subband. If even the vertical decomposition of this
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/// subband should be done with the low-pass-first convention. If odd it
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/// should be done with the high-pass-first convention.
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///
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/// </summary>
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public int ulcy;
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/// <summary>The horizontal coordinate of the upper-left corner of the subband </summary>
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public int ulx;
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/// <summary>The vertical coordinate of the upper-left corner of the subband </summary>
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public int uly;
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/// <summary>The width of the subband </summary>
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public int w;
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/// <summary>The height of the subband </summary>
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public int h;
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/// <summary>The nominal code-block width </summary>
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public int nomCBlkW;
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/// <summary>The nominal code-block height </summary>
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public int nomCBlkH;
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/// <summary> Splits the current subband in its four subbands. This creates the four
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/// childs (LL, HL, LH and HH) and converts the leaf in a node.
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///
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/// </summary>
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/// <param name="hfilter">The horizontal wavelet filter used to decompose this
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/// subband.
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///
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/// </param>
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/// <param name="vfilter">The vertical wavelet filter used to decompose this
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/// subband.
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///
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/// </param>
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/// <returns> A reference to the LL leaf (getLL()).
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///
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/// </returns>
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protected internal abstract Subband split(WaveletFilter hfilter, WaveletFilter vfilter);
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/// <summary> Initializes the childs of this node with the correct values. The sizes
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/// of the child subbands are calculated by taking into account the
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/// position of the subband in the canvas.
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///
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/// <p>For the analysis subband gain calculation it is assumed that
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/// analysis filters are normalized with a DC gain of 1 and a Nyquist gain
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/// of 2.</p>
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///
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/// </summary>
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protected internal virtual void initChilds()
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{
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Subband subb_LL = LL;
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Subband subb_HL = HL;
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Subband subb_LH = LH;
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Subband subb_HH = HH;
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// LL subband
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subb_LL.level = level + 1;
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subb_LL.ulcx = (ulcx + 1) >> 1;
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subb_LL.ulcy = (ulcy + 1) >> 1;
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subb_LL.ulx = ulx;
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subb_LL.uly = uly;
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subb_LL.w = ((ulcx + w + 1) >> 1) - subb_LL.ulcx;
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subb_LL.h = ((ulcy + h + 1) >> 1) - subb_LL.ulcy;
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// If this subband in in the all LL path (i.e. it's global orientation
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// is LL) then child LL band contributes to a lower resolution level.
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subb_LL.resLvl = (orientation == WT_ORIENT_LL)?resLvl - 1:resLvl;
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subb_LL.anGainExp = anGainExp;
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subb_LL.sbandIdx = (sbandIdx << 2);
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// HL subband
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subb_HL.orientation = WT_ORIENT_HL;
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subb_HL.level = subb_LL.level;
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subb_HL.ulcx = ulcx >> 1;
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subb_HL.ulcy = subb_LL.ulcy;
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subb_HL.ulx = ulx + subb_LL.w;
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subb_HL.uly = uly;
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subb_HL.w = ((ulcx + w) >> 1) - subb_HL.ulcx;
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subb_HL.h = subb_LL.h;
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subb_HL.resLvl = resLvl;
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subb_HL.anGainExp = anGainExp + 1;
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subb_HL.sbandIdx = (sbandIdx << 2) + 1;
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// LH subband
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subb_LH.orientation = WT_ORIENT_LH;
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subb_LH.level = subb_LL.level;
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subb_LH.ulcx = subb_LL.ulcx;
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subb_LH.ulcy = ulcy >> 1;
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subb_LH.ulx = ulx;
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subb_LH.uly = uly + subb_LL.h;
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subb_LH.w = subb_LL.w;
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subb_LH.h = ((ulcy + h) >> 1) - subb_LH.ulcy;
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subb_LH.resLvl = resLvl;
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subb_LH.anGainExp = anGainExp + 1;
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subb_LH.sbandIdx = (sbandIdx << 2) + 2;
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// HH subband
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subb_HH.orientation = WT_ORIENT_HH;
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subb_HH.level = subb_LL.level;
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subb_HH.ulcx = subb_HL.ulcx;
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subb_HH.ulcy = subb_LH.ulcy;
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subb_HH.ulx = subb_HL.ulx;
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subb_HH.uly = subb_LH.uly;
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subb_HH.w = subb_HL.w;
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subb_HH.h = subb_LH.h;
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subb_HH.resLvl = resLvl;
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subb_HH.anGainExp = anGainExp + 2;
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subb_HH.sbandIdx = (sbandIdx << 2) + 3;
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}
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/// <summary> Creates a Subband element with all the default values. The dimensions
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/// are (0,0), the upper left corner is (0,0) and the upper-left corner
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/// with respect to the canvas is (0,0) too.
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///
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/// </summary>
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public Subband()
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{
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}
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/// <summary> Creates the top-level node and the entire subband tree, with the
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/// top-level dimensions, the number of decompositions, and the
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/// decomposition tree as specified.
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///
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/// <p>For the analysis subband gain calculation it is assumed that
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/// analysis filters are normalized with a DC gain of 1 and a Nyquist gain
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/// of 2.</p>
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///
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/// <p>This constructor does not initialize the value of the magBits member
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/// variable. This variable is normally initialized by the quantizer, on
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/// the encoder side, or the bit stream reader, on the decoder side.</p>
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///
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/// </summary>
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/// <param name="w">The top-level width
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///
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/// </param>
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/// <param name="h">The top-level height
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///
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/// </param>
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/// <param name="ulcx">The horizontal coordinate of the upper-left corner with
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/// respect to the canvas origin, in the component grid.
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///
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/// </param>
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/// <param name="ulcy">The vertical coordinate of the upper-left corner with
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/// respect to the canvas origin, in the component grid.
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///
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/// </param>
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/// <param name="lvls">The number of levels (or LL decompositions) in the tree.
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///
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/// </param>
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/// <param name="hfilters">The horizontal wavelet filters (analysis or synthesis)
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/// for each resolution level, starting at resolution level 0. If there are
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/// less elements in the array than there are resolution levels, the last
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/// element is used for the remaining resolution levels.
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///
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/// </param>
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/// <param name="vfilters">The vertical wavelet filters (analysis or synthesis)
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/// for each resolution level, starting at resolution level 0. If there are
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/// less elements in the array than there are resolution levels, the last
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/// element is used for the remaining resolution levels.
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///
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/// </param>
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/// <seealso cref="WaveletTransform">
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///
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/// </seealso>
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public Subband(int w, int h, int ulcx, int ulcy, int lvls, WaveletFilter[] hfilters, WaveletFilter[] vfilters)
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{
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int i, hi, vi;
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Subband cur; // The current subband
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// Initialize top-level node
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this.w = w;
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this.h = h;
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this.ulcx = ulcx;
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this.ulcy = ulcy;
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this.resLvl = lvls;
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// First create dyadic decomposition.
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cur = this;
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for (i = 0; i < lvls; i++)
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{
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hi = (cur.resLvl <= hfilters.Length)?cur.resLvl - 1:hfilters.Length - 1;
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vi = (cur.resLvl <= vfilters.Length)?cur.resLvl - 1:vfilters.Length - 1;
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cur = cur.split(hfilters[hi], vfilters[vi]);
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}
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}
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/// <summary> Returns the next subband in the same resolution level, following the
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/// subband index order. If already at the last subband then null is
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/// returned. If this subband is not a leaf an IllegalArgumentException is
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/// thrown.
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///
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/// </summary>
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/// <returns> The next subband in the same resolution level, following the
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/// subband index order, or null if already at last subband.
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///
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/// </returns>
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public virtual Subband nextSubband()
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{
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Subband sb;
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if (isNode)
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{
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throw new System.ArgumentException();
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}
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switch (orientation)
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{
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case WT_ORIENT_LL:
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sb = Parent;
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if (sb == null || sb.resLvl != resLvl)
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{
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// Already at top-level or last subband in res. level
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return null;
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}
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else
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{
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return sb.HL;
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}
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//goto case WT_ORIENT_HL;
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case WT_ORIENT_HL:
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return Parent.LH;
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case WT_ORIENT_LH:
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return Parent.HH;
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case WT_ORIENT_HH:
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// This is the complicated one
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sb = this;
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while (sb.orientation == WT_ORIENT_HH)
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{
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sb = sb.Parent;
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}
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switch (sb.orientation)
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{
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case WT_ORIENT_LL:
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sb = sb.Parent;
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if (sb == null || sb.resLvl != resLvl)
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{
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// Already at top-level or last subband in res. level
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return null;
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}
|
|
else
|
|
{
|
|
sb = sb.HL;
|
|
}
|
|
break;
|
|
|
|
case WT_ORIENT_HL:
|
|
sb = sb.Parent.LH;
|
|
break;
|
|
|
|
case WT_ORIENT_LH:
|
|
sb = sb.Parent.HH;
|
|
break;
|
|
|
|
default:
|
|
throw new System.InvalidOperationException("You have found a bug in JJ2000");
|
|
|
|
}
|
|
while (sb.isNode)
|
|
{
|
|
sb = sb.LL;
|
|
}
|
|
return sb;
|
|
|
|
default:
|
|
throw new System.InvalidOperationException("You have found a bug in JJ2000");
|
|
|
|
}
|
|
}
|
|
|
|
/// <summary> Returns a subband element in the tree, given its resolution level and
|
|
/// subband index. This method searches through the tree.
|
|
///
|
|
/// </summary>
|
|
/// <param name="rl">The resolution level.
|
|
///
|
|
/// </param>
|
|
/// <param name="sbi">The subband index, within the resolution level.
|
|
///
|
|
/// </param>
|
|
public virtual Subband getSubbandByIdx(int rl, int sbi)
|
|
{
|
|
Subband sb = this;
|
|
|
|
// Find the root subband for the resolution level
|
|
if (rl > sb.resLvl || rl < 0)
|
|
{
|
|
throw new System.ArgumentException("Resolution level index " + "out of range");
|
|
}
|
|
|
|
// Returns directly if it is itself
|
|
if (rl == sb.resLvl && sbi == sb.sbandIdx)
|
|
return sb;
|
|
|
|
if (sb.sbandIdx != 0)
|
|
sb = sb.Parent;
|
|
|
|
while (sb.resLvl > rl)
|
|
sb = sb.LL;
|
|
while (sb.resLvl < rl)
|
|
sb = sb.Parent;
|
|
|
|
switch (sbi)
|
|
{
|
|
|
|
case 0:
|
|
default:
|
|
return sb;
|
|
|
|
case 1:
|
|
return sb.HL;
|
|
|
|
case 2:
|
|
return sb.LH;
|
|
|
|
case 3:
|
|
return sb.HH;
|
|
}
|
|
}
|
|
|
|
/// <summary> Returns a reference to the Subband element to which the specified point
|
|
/// belongs. The specified point must be inside this (i.e. the one defined
|
|
/// by this object) subband. This method searches through the tree.
|
|
///
|
|
/// </summary>
|
|
/// <param name="x">horizontal coordinate of the specified point.
|
|
///
|
|
/// </param>
|
|
/// <param name="y">horizontal coordinate of the specified point.
|
|
///
|
|
/// </param>
|
|
public virtual Subband getSubband(int x, int y)
|
|
{
|
|
Subband cur, hhs;
|
|
|
|
// Check that we are inside this subband
|
|
if (x < ulx || y < uly || x >= ulx + w || y >= uly + h)
|
|
{
|
|
throw new System.ArgumentException();
|
|
}
|
|
|
|
cur = this;
|
|
while (cur.isNode)
|
|
{
|
|
hhs = cur.HH;
|
|
// While we are still at a node -> continue
|
|
if (x < hhs.ulx)
|
|
{
|
|
// Is the result of horizontal low-pass
|
|
if (y < hhs.uly)
|
|
{
|
|
// Vertical low-pass
|
|
cur = cur.LL;
|
|
}
|
|
else
|
|
{
|
|
// Vertical high-pass
|
|
cur = cur.LH;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
// Is the result of horizontal high-pass
|
|
if (y < hhs.uly)
|
|
{
|
|
// Vertical low-pass
|
|
cur = cur.HL;
|
|
}
|
|
else
|
|
{
|
|
// Vertical high-pass
|
|
cur = cur.HH;
|
|
}
|
|
}
|
|
}
|
|
|
|
return cur;
|
|
}
|
|
|
|
/// <summary> Returns subband informations in a string.
|
|
///
|
|
/// </summary>
|
|
/// <returns> Subband informations
|
|
///
|
|
/// </returns>
|
|
public override System.String ToString()
|
|
{
|
|
System.String string_Renamed = "w=" + w + ",h=" + h + ",ulx=" + ulx + ",uly=" + uly + ",ulcx=" + ulcx + ",ulcy=" + ulcy + ",idx=" + sbandIdx + ",orient=" + orientation + ",node=" + isNode + ",level=" + level + ",resLvl=" + resLvl + ",nomCBlkW=" + nomCBlkW + ",nomCBlkH=" + nomCBlkH + ",numCb=" + numCb;
|
|
|
|
return string_Renamed;
|
|
}
|
|
}
|
|
} |