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gray image 2.1
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morph_filter.h
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1995-05-31
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// This may look like C code, but it is really -*- C++ -*-
/*
************************************************************************
*
* Grayscale Image
*
* Morphological filtration of the image
*
* Algorithm
* Described in the paper
* P.Maragos, Pattern Spectrum and Multiscale Shape Representation,
* IEEE Trans. Pattern Anal. Machine Intell., vol. 11, N7,
* p. 701-716, July 1989.
*
* The program implements the Function-Set-Processing (FSP) for the
* gray-scale images and boolean pattern. Refer to the Sec. II D of the
* paper.
*
* Specifically, a dilation operation is defined as
* dest = src PLUS pattern, i.e.
* dest(k,l) = MAX{ src(k-i,l-j) } i=pattern.x(n), j=pattern.y(n)
* n=0..pattern.card,
* dest and src being the images before and after the operation, resp.
* On the other hand, erosion is
* dest = src MINUS pattern, i.e.
* dest(k,l) = MIN{ src(k+i,l+j) } i=pattern.x(n), j=pattern.y(n)
* n=0..pattern.card
* Out-of-image pixels for src are assumed to be zeros
*
* Opening is the dilation followed by the erosion, and closing,
* in contrast, is the erosion followed by the dilation.
* It is easy to see that both erosion and dilation introduce some
* phase shift in the image. Moreover, the shifts have the same size
* but different sign. That's why they get cancelled out in opening and
* closing.
*
* $Id$
*
************************************************************************
*/
#ifdef __GNUC__
#pragma interface
#endif
#include "image.h"
/*
*------------------------------------------------------------------------
* Defining a class for the Binary Pattern
* Convention:
* The entire pattern has to be located within the I quadrant, i.e.
* x(n) >= 0, y(n) >= 0 for each of the pattern points
*/
// Names for some standard patterns
enum PatternNames {Square, Octagon};
class BinaryPattern {
int npoints; // No. of points in the pattern
int * xs; // Pattern point abscissae
int * ys; // Pattern point ordinates
void allocate(const int npoints); // Allocate the pattern structure
public:
BinaryPattern(const int npoints); // Create an empty pattern
// Create a pattern of a predefined
// shape
BinaryPattern(const PatternNames name,const int size);
~BinaryPattern();
// Q. cardinality of the pattern
int card(void) const { return npoints; }
int x(const int pointn) const; // Get the coordinate of a
int y(const int pointn) const; // specific pattern point
// Pattern morphological operations
friend void dilation(IMAGE& im, const BinaryPattern& pattern);
friend void erosion(IMAGE& im, const BinaryPattern& pattern);
friend inline void opening(IMAGE& im, const BinaryPattern& pattern);
friend inline void closing(IMAGE& im, const BinaryPattern& pattern);
};
/*
*------------------------------------------------------------------------
* Inline Procedures
*/
// Create an empty pattern
inline BinaryPattern::BinaryPattern(const int npoints)
{
allocate(npoints);
}
// Get the x coordinate of a specific
// pattern point
inline int BinaryPattern::x(const int pointn) const
{
if( pointn < 0 || pointn >= npoints )
_error("The no. for the point requested %d is out of range [0,%d)",
pointn, npoints);
return xs[pointn];
}
// Get the y coordinate of the specific
// pattern point
inline int BinaryPattern::y(const int pointn) const
{
if( pointn < 0 || pointn >= npoints )
_error("The no. for the point requested %d is out of range [0,%d)",
pointn, npoints);
return ys[pointn];
}
inline void opening(IMAGE& im, const BinaryPattern& pattern)
{
dilation(im,pattern);
erosion(im,pattern);
}
inline void closing(IMAGE& im, const BinaryPattern& pattern)
{
erosion(im,pattern);
dilation(im,pattern);
}