Support for XISF
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// ____ ______ __
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// / __ \ / ____// /
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// / /_/ // / / /
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// / ____// /___ / /___ PixInsight Class Library
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// /_/ \____//_____/ PCL 2.4.23
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// ----------------------------------------------------------------------------
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// pcl/MultiscaleMedianTransform.h - Released 2022-03-12T18:59:29Z
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// ----------------------------------------------------------------------------
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// This file is part of the PixInsight Class Library (PCL).
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// PCL is a multiplatform C++ framework for development of PixInsight modules.
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//
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// Copyright (c) 2003-2022 Pleiades Astrophoto S.L. All Rights Reserved.
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//
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// Redistribution and use in both source and binary forms, with or without
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// modification, is permitted provided that the following conditions are met:
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//
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// 1. All redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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//
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// 2. All redistributions in binary form must reproduce the above copyright
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// notice, this list of conditions and the following disclaimer in the
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// documentation and/or other materials provided with the distribution.
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//
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// 3. Neither the names "PixInsight" and "Pleiades Astrophoto", nor the names
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// of their contributors, may be used to endorse or promote products derived
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// from this software without specific prior written permission. For written
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// permission, please contact info@pixinsight.com.
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// 4. All products derived from this software, in any form whatsoever, must
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// reproduce the following acknowledgment in the end-user documentation
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//
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// "This product is based on software from the PixInsight project, developed
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// by Pleiades Astrophoto and its contributors (https://pixinsight.com/)."
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// Alternatively, if that is where third-party acknowledgments normally
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// appear, this acknowledgment must be reproduced in the product itself.
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// THIS SOFTWARE IS PROVIDED BY PLEIADES ASTROPHOTO AND ITS CONTRIBUTORS
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// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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// POSSIBILITY OF SUCH DAMAGE.
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// ----------------------------------------------------------------------------
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#ifndef __PCL_MultiscaleMedianTransform_h
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#define __PCL_MultiscaleMedianTransform_h
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/// \file pcl/MultiscaleMedianTransform.h
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#include <pcl/Defs.h>
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#include <pcl/Diagnostics.h>
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#include <pcl/RedundantMultiscaleTransform.h>
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namespace pcl
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{
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// ----------------------------------------------------------------------------
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/*!
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* \class MultiscaleMedianTransform
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* \brief Multiscale median transform / hybrid median-wavelet transform.
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*
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* The multiscale median transform algorithm produces a set {w1,w2,...,wN,cN},
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* where each wj is a set of coefficients at scale j, which we call <em>detail
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* layer</em>, and cN is a large-scale smoothed residual, which we call
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* <em>residual layer</em>. Each layer has the same dimensions as the input
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* image, hence the generated multiscale transform is redundant.
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*
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* The algorithm applies successive median filters with a structuring element
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* of increasing size 2*s + 1, where s grows following a monotonically
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* increasing sequence (the dyadic sequence 1, 2, 4, ... is used by default).
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* Multiscale coefficients are the differences between each pair of successive
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* median filtered images.
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*
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* The hybrid median-wavelet transform merges the multiscale median and wavelet
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* transforms in a single high-level operation. Wavelets are used to represent
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* nonsignificant structures, such as noise and smooth regions, while median
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* filtering is used to represent strong significant structures. This hybrid
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* transform provides an optimal representation of the image by combining the
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* strongest points of both techniques: wavelets are good to support smooth
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* structures with weak variations, while the median transform is better at
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* isolating significant, high-contrast structures.
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*
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* The reconstruction algorithm consists of the sum of all wj multiscale layers
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* for 1 <= j <= N, plus the residual layer cN.
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*
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* <b>References</b>
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*
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* \li Starck, J.-L., Murtagh, F. and J. Fadili, A. (2010), <em>Sparse %Image
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* and Signal Processing: Wavelets, Curvelets, Morphological Diversity</em>,
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* Cambridge University Press.
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*
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* \li Barth, Timothy J., Chan, Tony, Haimes, Robert (Eds.) (2002),
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* <em>Multiscale and Multiresolution Methods: Theory and Applications</em>,
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* Springer. invited paper: Jean-Luc Starck, <em>Nonlinear Multiscale
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* Transforms</em>, pp. 239-279.
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*
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* In our implementation, each layer in a multiscale median transform is a
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* floating-point image with the same dimensions as the transformed image.
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* Layers are indexed from 0 to N. Layers at indexes from 0 to N-1 are detail
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* layers, whose elements are actually median difference coefficients. Pixels
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* in a multiscale layer can be negative, zero or positive real values.
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*
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* The last layer, at index N, is the large-scale residual layer. Pixels in the
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* residual layer image can only be positive or zero real values.
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*
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* The original algorithm uses square structuring elements. Square structures
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* lead to relatively simple and efficient implementations, but unfortunately
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* they tend to generate objectionable artifacts around round shapes. In our
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* implementation we use special multiway structures to minimize these
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* artifacts and to improve the behavior of the algorithm to isolate isotropic
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* image structures.
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*
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* \ingroup multiscale_transforms
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*/
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class PCL_CLASS MultiscaleMedianTransform : public RedundantMultiscaleTransform
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{
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public:
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/*!
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* Represents a multiscale transform layer.
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*/
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typedef RedundantMultiscaleTransform::layer layer;
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/*!
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* Represents a set of multiscale transform layers, or multiscale transform.
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*/
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typedef RedundantMultiscaleTransform::transform transform;
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/*!
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* Represents a set of layer enabled/disabled states.
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*/
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typedef RedundantMultiscaleTransform::layer_state_set layer_state_set;
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/*!
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* Constructs a %MultiscaleMedianTransform instance.
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*
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* \param n Number of detail layers. The transform will consist of \a n
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* detail layers plus a residual layer, that is n+1 total
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* layers. The default value is 4.
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*
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* \param d Scaling sequence. If \a d <= 0, the transform will use the
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* dyadic sequence: 1, 2, 4, ... 2^i. If \a d > 0, its value is
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* the distance in pixels between two successive scales.
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*
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* The default values for \a n and \a d are 4 and 0, respectively (four
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* layers and the dyadic scaling sequence).
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*
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* Successive layers are computed by applying median filters with
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* structuring elements of size 2*s + 1. The scaling sequence parameter \a d
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* is interpreted as follows:
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*
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* - If the specified sequence parameter \a d is zero 0, then the transform
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* uses the dyadic sequence: s = 1, 2, 4, ..., 2^j for 0 <= j < n.
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*
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* - If \a d > 0, then \a d is the constant increment in pixels between two
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* successive scales (linear scaling sequence): s = d*j for 1 <= j < n.
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*/
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MultiscaleMedianTransform( int n = 4, int d = 0 )
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: RedundantMultiscaleTransform( n, d )
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{
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}
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/*!
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* Copy constructor.
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*/
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MultiscaleMedianTransform( const MultiscaleMedianTransform& ) = default;
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/*!
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* Move constructor.
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*/
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MultiscaleMedianTransform( MultiscaleMedianTransform&& ) = default;
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/*!
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* Destroys this %MultiscaleMedianTransform object. All existing transform
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* layers are destroyed and deallocated.
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*/
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virtual ~MultiscaleMedianTransform()
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{
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}
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/*!
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* Copy assignment operator. Returns a reference to this object.
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*/
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MultiscaleMedianTransform& operator =( const MultiscaleMedianTransform& ) = default;
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/*!
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* Move assignment operator. Returns a reference to this object.
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*/
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MultiscaleMedianTransform& operator =( MultiscaleMedianTransform&& ) = default;
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/*!
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* Returns true if this transform applies special multiway structuring
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* elements for improved isotropic behavior. Returns false if simple
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* structures are used instead for improved execution speed, at the cost of
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* some performance degradation in the isotropic behavior of the transform.
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*/
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bool UsingMultiwayStructures() const
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{
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return m_multiwayStructures;
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}
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/*!
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* Enables the use of multiway structuring elements. See
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* UsingMultiwayStructures() for more information.
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*
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* \note Calling this member function implicitly deletes all existing
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* transform layers.
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*/
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void EnableMultiwayStructures( bool enable = true )
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{
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DestroyLayers();
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m_multiwayStructures = enable;
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}
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/*!
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* Disables the use of multiway structuring elements. See
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* UsingMultiwayStructures() for more information.
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*
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* \note Calling this member function implicitly deletes all existing
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* transform layers.
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*/
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void DisableMultiwayStructures( bool disable = true )
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{
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EnableMultiwayStructures( !disable );
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}
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/*!
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* Returns true iff this object performs a hybrid median-wavelet transform.
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* Returns false if this is a pure multiscale median transform.
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*/
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bool IsMedianWaveletTransform() const
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{
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return m_medianWaveletTransform;
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}
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/*!
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* Causes this object to perform a hybrid wavelet-median transform.
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*
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* \param threshold Threshold in sigma units for per-layer suppression of
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* significant median transform coefficients. Image
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* structures represented by median coefficients with
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* absolute values smaller than this threshold will be
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* supported by wavelet transform coefficients. The
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* default value is 5 sigma.
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*
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* \note Calling this member function implicitly deletes all existing
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* transform layers.
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*/
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void SetMedianWaveletTransform( float threshold = 5 )
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{
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DestroyLayers();
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m_medianWaveletTransform = true;
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m_medianWaveletThreshold = Max( 0.F, threshold );
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}
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/*!
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* Sets a threshold in sigma units for per-layer suppression of significant
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* median transform coefficients. Image structures represented by median
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* coefficients with absolute values smaller than this threshold will be
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* supported by wavelet transform coefficients. The larger this value, the
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* more image structures will be supported by wavelet coefficients.
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*
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* By default the median-wavelet threshold is 5 sigma. This is normally
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* large enough to prevent inclusion of the noise in median transform
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* coefficients.
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*
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* \note Calling this member function implicitly deletes all existing
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* transform layers.
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*/
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void SetMedianWaveletThreshold( float threshold )
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{
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DestroyLayers();
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m_medianWaveletThreshold = Max( 0.F, threshold );
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}
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/*!
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* Returns the current median-wavelet threshold in sigma units. See the
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* documentation for SetMedianWaveletThreshold() for more information.
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*/
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float MedianWaveletThreshold() const
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{
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return m_medianWaveletThreshold;
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}
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/*!
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* Causes this object to perform a pure multiscale median transform.
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*
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* \note Calling this member function implicitly deletes all existing
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* transform layers.
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*/
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void SetMultiscaleMedianTransform()
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{
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DestroyLayers();
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m_medianWaveletTransform = false;
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}
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private:
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/*
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* Use multiway structural elements for improved isotropy.
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*/
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bool m_multiwayStructures = true;
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/*
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* Compute a wavelet-median transform.
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*/
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bool m_medianWaveletTransform = false;
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/*
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* Median-wavelet threshold in sigma units.
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*/
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float m_medianWaveletThreshold = 5.0F;
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/*
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* Transform (decomposition)
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*/
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void Transform( const pcl::Image& ) override;
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void Transform( const pcl::DImage& ) override;
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void Transform( const pcl::ComplexImage& ) override;
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void Transform( const pcl::DComplexImage& ) override;
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void Transform( const pcl::UInt8Image& ) override;
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void Transform( const pcl::UInt16Image& ) override;
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void Transform( const pcl::UInt32Image& ) override;
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friend class MMTDecomposition;
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};
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// ----------------------------------------------------------------------------
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} // pcl
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#endif // __PCL_MultiscaleMedianTransform_h
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// ----------------------------------------------------------------------------
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// EOF pcl/MultiscaleMedianTransform.h - Released 2022-03-12T18:59:29Z
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