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