/* * CVS identifier: * * $Id: SubbandAn.java,v 1.30 2001/08/02 09:13:53 grosbois Exp $ * * Class: SubbandAn * * Description: Element for a tree structure for a descripotion * of subbands on the anslysis side. * * * * COPYRIGHT: * * This software module was originally developed by Raphaël Grosbois and * Diego Santa Cruz (Swiss Federal Institute of Technology-EPFL); Joel * Askelöf (Ericsson Radio Systems AB); and Bertrand Berthelot, David * Bouchard, Félix Henry, Gerard Mozelle and Patrice Onno (Canon Research * Centre France S.A) in the course of development of the JPEG2000 * standard as specified by ISO/IEC 15444 (JPEG 2000 Standard). This * software module is an implementation of a part of the JPEG 2000 * Standard. Swiss Federal Institute of Technology-EPFL, Ericsson Radio * Systems AB and Canon Research Centre France S.A (collectively JJ2000 * Partners) agree not to assert against ISO/IEC and users of the JPEG * 2000 Standard (Users) any of their rights under the copyright, not * including other intellectual property rights, for this software module * with respect to the usage by ISO/IEC and Users of this software module * or modifications thereof for use in hardware or software products * claiming conformance to the JPEG 2000 Standard. Those intending to use * this software module in hardware or software products are advised that * their use may infringe existing patents. The original developers of * this software module, JJ2000 Partners and ISO/IEC assume no liability * for use of this software module or modifications thereof. No license * or right to this software module is granted for non JPEG 2000 Standard * conforming products. JJ2000 Partners have full right to use this * software module for his/her own purpose, assign or donate this * software module to any third party and to inhibit third parties from * using this software module for non JPEG 2000 Standard conforming * products. This copyright notice must be included in all copies or * derivative works of this software module. * * Copyright (c) 1999/2000 JJ2000 Partners. * */ using System; using CSJ2K.j2k.wavelet; namespace CSJ2K.j2k.wavelet.analysis { /// This class represents a subband in a bidirectional tree structure that /// describes the subband decomposition for a wavelet transform, specifically /// for the analysis side. /// ///

The element can be either a node or a leaf of the tree. If it is a node /// then ther are 4 descendants (LL, HL, LH and HH). If it is a leaf there are /// no descendants.

/// ///

The tree is bidirectional. Each element in the tree structure has a /// "parent", which is the subband from which the element was obtained by /// decomposition. The only exception is the root element which has no parent /// (i.e.it's null), for obvious reasons.

/// ///
public class SubbandAn:Subband { /// Returns the parent of this subband. The parent of a subband is the /// subband from which this one was obtained by decomposition. The root /// element has no parent subband (null). /// /// /// The parent subband, or null for the root one. /// /// override public Subband Parent { get { return parentband; } } /// Returns the LL child subband of this subband. /// /// /// The LL child subband, or null if there are no childs. /// /// override public Subband LL { get { return subb_LL; } } /// Returns the HL (horizontal high-pass) child subband of this subband. /// /// /// The HL child subband, or null if there are no childs. /// /// override public Subband HL { get { return subb_HL; } } /// Returns the LH (vertical high-pass) child subband of this subband. /// /// /// The LH child subband, or null if there are no childs. /// /// override public Subband LH { get { return subb_LH; } } /// Returns the HH child subband of this subband. /// /// /// The HH child subband, or null if there are no childs. /// /// override public Subband HH { get { return subb_HH; } } /// This function returns the horizontal wavelet filter relevant to this /// subband /// /// /// The horizontal wavelet filter /// /// override public WaveletFilter HorWFilter { get { return hFilter; } } /// This function returns the vertical wavelet filter relevant to this /// subband /// /// /// The vertical wavelet filter /// /// override public WaveletFilter VerWFilter { get { return hFilter; } } /// The reference to the parent of this subband. It is null for the root /// element. It is null by default. /// public SubbandAn parentband = null; /// The reference to the LL subband resulting from the decomposition of /// this subband. It is null by default. /// public SubbandAn subb_LL; /// The reference to the HL subband (horizontal high-pass) resulting from /// the decomposition of this subband. It is null by default. /// public SubbandAn subb_HL; /// The reference to the LH subband (vertical high-pass) resulting from /// the decomposition of this subband. It is null by default. /// /// public SubbandAn subb_LH; /// The reference to the HH subband resulting from the decomposition of /// this subband. It is null by default. /// public SubbandAn subb_HH; /// The horizontal analysis filter used to decompose this subband. This is /// applicable to "node" elements only. The default value is null. /// public AnWTFilter hFilter; /// The vertical analysis filter used to decompose this subband. This is /// applicable to "node" elements only. The default value is null. /// public AnWTFilter vFilter; /// The L2-norm of the synthesis basis waveform of this subband, /// applicable to "leafs" only. By default it is -1 (i.e. not calculated /// yet). /// /// public float l2Norm = - 1.0f; /// The contribution to the MSE or WMSE error that would result in the /// image if there was an error of exactly one quantization step size in /// the sample of the subband. This value is expressed relative to a /// nominal dynamic range in the image domain of exactly 1.0. This field /// contains valid data only after quantization 9See Quantizer). /// /// /// /// /// public float stepWMSE; /// Creates a SubbandAn element with all the default values. The dimensions /// are (0,0) and the upper left corner is (0,0). /// /// public SubbandAn() { } /// Creates the top-level node and the entire subband tree, with the /// top-level dimensions, the number of decompositions, and the /// decomposition tree as specified. /// ///

This constructor just calls the same constructor of the super class, /// and then calculates the L2-norm (or energy weight) of each leaf.

/// ///

This constructor does not initialize the value of the magBits or /// stepWMSE member variables. This variables are normally initialized by /// the quantizer (see Quantizer).

/// ///
/// The top-level width /// /// /// The top-level height /// /// /// The horizontal coordinate of the upper-left corner with /// respect to the canvas origin, in the component grid. /// /// /// The vertical coordinate of the upper-left corner with /// respect to the canvas origin, in the component grid. /// /// /// The number of levels (or LL decompositions) in the tree. /// /// /// The horizontal wavelet analysis filters for each /// resolution level, starting at resolution level 0. /// /// /// The vertical wavelet analysis filters for each /// resolution level, starting at resolution level 0. /// /// /// /// WaveletFilter[],WaveletFilter[]) /// /// /// /// /// public SubbandAn(int w, int h, int ulcx, int ulcy, int lvls, WaveletFilter[] hfilters, WaveletFilter[] vfilters):base(w, h, ulcx, ulcy, lvls, hfilters, vfilters) { // Caculate the L2-norms calcL2Norms(); } /// Splits the current subband in its four subbands. It changes the status /// of this element (from a leaf to a node, and sets the filters), creates /// the childs and initializes them. An IllegalArgumentException is thrown /// if this subband is not a leaf. /// ///

It uses the initChilds() method to initialize the childs.

/// ///
/// The horizontal wavelet filter used to decompose this /// subband. It has to be a AnWTFilter object. /// /// /// The vertical wavelet filter used to decompose this /// subband. It has to be a AnWTFilter object. /// /// /// A reference to the LL leaf (subb_LL). /// /// /// /// /// protected internal override Subband split(WaveletFilter hfilter, WaveletFilter vfilter) { // Test that this is a node if (isNode) { throw new System.ArgumentException(); } // Modify this element into a node and set the filters isNode = true; this.hFilter = (AnWTFilter) hfilter; this.vFilter = (AnWTFilter) vfilter; // Create childs subb_LL = new SubbandAn(); subb_LH = new SubbandAn(); subb_HL = new SubbandAn(); subb_HH = new SubbandAn(); // Assign parent subb_LL.parentband = this; subb_HL.parentband = this; subb_LH.parentband = this; subb_HH.parentband = this; // Initialize childs initChilds(); // Return reference to LL subband return subb_LL; } /// Calculates the basis waveform of the first leaf for which the L2-norm /// has not been calculated yet. This method searches recursively for the /// first leaf for which the value has not been calculated yet, and then /// calculates the L2-norm on the return path. /// ///

The wfs argument should be a size 2 array of float arrays (i.e. 2D /// array) and it must be of length 2 (or more). When returning, wfs[0] /// will contain the line waveform, and wfs[1] will contain the column /// waveform.

/// ///

This method can not be called on an element that ahs a non-negative /// value in l2Norm, since that means that we are done.

/// ///
/// An size 2 array where the line and column waveforms will be /// returned. /// /// private void calcBasisWaveForms(float[][] wfs) { if (l2Norm < 0) { // We are not finished with this element yet if (isNode) { // We are on a node => search on childs if (subb_LL.l2Norm < 0f) { subb_LL.calcBasisWaveForms(wfs); wfs[0] = hFilter.getLPSynWaveForm(wfs[0], null); wfs[1] = vFilter.getLPSynWaveForm(wfs[1], null); } else if (subb_HL.l2Norm < 0f) { subb_HL.calcBasisWaveForms(wfs); wfs[0] = hFilter.getHPSynWaveForm(wfs[0], null); wfs[1] = vFilter.getLPSynWaveForm(wfs[1], null); } else if (subb_LH.l2Norm < 0f) { subb_LH.calcBasisWaveForms(wfs); wfs[0] = hFilter.getLPSynWaveForm(wfs[0], null); wfs[1] = vFilter.getHPSynWaveForm(wfs[1], null); } else if (subb_HH.l2Norm < 0f) { subb_HH.calcBasisWaveForms(wfs); wfs[0] = hFilter.getHPSynWaveForm(wfs[0], null); wfs[1] = vFilter.getHPSynWaveForm(wfs[1], null); } else { // There is an error! If all childs have non-negative // l2norm, then this node should have non-negative l2norm throw new System.InvalidOperationException("You have found a bug in JJ2000!"); } } else { // This is a leaf, just use diracs (null is equivalent to // dirac) wfs[0] = new float[1]; wfs[0][0] = 1.0f; wfs[1] = new float[1]; wfs[1][0] = 1.0f; } } else { // This is an error! The calcBasisWaveForms() method is never // called on an element with non-negative l2norm throw new System.InvalidOperationException("You have found a bug in JJ2000!"); } } /// Assigns the given L2-norm to the first leaf that does not have an /// L2-norm value yet (i.e. l2norm is negative). The search is done /// recursively and in the same order as that of the calcBasisWaveForms() /// method, so that this method is used to assigne the l2norm of the /// previously computed waveforms. /// ///

This method can not be called on an element that ahs a non-negative /// value in l2Norm, since that means that we are done.

/// ///
/// The L2-norm to assign. /// /// private void assignL2Norm(float l2n) { if (l2Norm < 0) { // We are not finished with this element yet if (isNode) { // We are on a node => search on childs if (subb_LL.l2Norm < 0f) { subb_LL.assignL2Norm(l2n); } else if (subb_HL.l2Norm < 0f) { subb_HL.assignL2Norm(l2n); } else if (subb_LH.l2Norm < 0f) { subb_LH.assignL2Norm(l2n); } else if (subb_HH.l2Norm < 0f) { subb_HH.assignL2Norm(l2n); // If child now is done, we are done if (subb_HH.l2Norm >= 0f) { l2Norm = 0f; // We are on a node, any non-neg value OK } } else { // There is an error! If all childs have non-negative // l2norm, then this node should have non-negative l2norm throw new System.InvalidOperationException("You have found a bug in JJ2000!"); } } else { // This is a leaf, assign the L2-norm l2Norm = l2n; } } else { // This is an error! The assignL2Norm() method is never called on // an element with non-negative l2norm throw new System.InvalidOperationException("You have found a bug in JJ2000!"); } } /// Calculates the L2-norm of the sythesis waveforms of every leaf in the /// tree. This method should only be called on the root element. /// /// private void calcL2Norms() { int i; float[][] wfs = new float[2][]; double acc; float l2n; // While we are not done on the root element, compute basis functions // and assign L2-norm while (l2Norm < 0f) { calcBasisWaveForms(wfs); // Compute line L2-norm, which is the product of the line // and column L2-norms acc = 0.0; for (i = wfs[0].Length - 1; i >= 0; i--) { acc += wfs[0][i] * wfs[0][i]; } //UPGRADE_WARNING: Data types in Visual C# might be different. Verify the accuracy of narrowing conversions. "ms-help://MS.VSCC.v80/dv_commoner/local/redirect.htm?index='!DefaultContextWindowIndex'&keyword='jlca1042'" l2n = (float) System.Math.Sqrt(acc); // Compute column L2-norm acc = 0.0; for (i = wfs[1].Length - 1; i >= 0; i--) { acc += wfs[1][i] * wfs[1][i]; } //UPGRADE_WARNING: Data types in Visual C# might be different. Verify the accuracy of narrowing conversions. "ms-help://MS.VSCC.v80/dv_commoner/local/redirect.htm?index='!DefaultContextWindowIndex'&keyword='jlca1042'" l2n *= (float) System.Math.Sqrt(acc); // Release waveforms wfs[0] = null; wfs[1] = null; // Assign the value assignL2Norm(l2n); } } } }