Math Utilities [Utilities]

Collaboration diagram for Math Utilities:

Functions
int	imRound (float x)
int	imResampleInt (int x, double factor)
template<class T , class TU >
T	imZeroOrderDecimation (int width, int height, T *map, double xl, double yl, double box_width, double box_height, TU Dummy)
template<class T , class TU >
T	imBilinearDecimation (int width, int height, T *map, double xl, double yl, double box_width, double box_height, TU Dummy)
template<class T >
T	imZeroOrderInterpolation (int width, int height, T *map, double xl, double yl)
template<class T >
T	imBilinearInterpolation (int width, int height, T *map, double xl, double yl)
template<class T , class TU >
T	imBicubicInterpolation (int width, int height, T *map, double xl, double yl, TU Dummy)
template<class T >
void	imMinMax (const T *map, int count, T &min, T &max, int absolute=0)
template<class T >
void	imMinMaxType (const T *map, int count, T &min, T &max, int absolute=0)

---

Detailed Description

When converting between continuous and discrete use:
Continuous = Discrete + 0.5 [Reconstruction/Interpolation]
Discrete = Round(Continuous - 0.5) [Sampling/Quantization]

Notice that must check min-max limits when converting from Continuous to Discrete.

When converting between discrete and discrete use:
integer src_size, dst_len, src_i, dst_i
real factor = (real)(dst_size)/(real)(src_size)
dst_i = Round(factor*(src_i + 0.5) - 0.5)

See im_math.h

---

Function Documentation

int imRound

(

float

x

)

[inline]

Round a real to the nearest integer.

Referenced by imColorQuantize(), and imZeroOrderInterpolation().

int imResampleInt	(	int	x,
		double	factor
	)			[inline]

Converts between two discrete grids. factor is "dst_size/src_size".

template<class T , class TU >

T imZeroOrderDecimation	(	int	width,
		int	height,
		T *	map,
		double	xl,
		double	yl,
		double	box_width,
		double	box_height,
		TU	Dummy
	)			[inline]

Does Zero Order Decimation (Mean).

template<class T , class TU >

T imBilinearDecimation	(	int	width,
		int	height,
		T *	map,
		double	xl,
		double	yl,
		double	box_width,
		double	box_height,
		TU	Dummy
	)			[inline]

Does Bilinear Decimation.

template<class T >

T imZeroOrderInterpolation	(	int	width,
		int	height,
		T *	map,
		double	xl,
		double	yl
	)			[inline]

Does Zero Order Interpolation (Nearest Neighborhood).

References imRound().

template<class T >

T imBilinearInterpolation	(	int	width,
		int	height,
		T *	map,
		double	xl,
		double	yl
	)			[inline]

Does Bilinear Interpolation.

template<class T , class TU >

T imBicubicInterpolation	(	int	width,
		int	height,
		T *	map,
		double	xl,
		double	yl,
		TU	Dummy
	)			[inline]

Does Bicubic Interpolation.

template<class T >

void imMinMax	(	const T *	map,
		int	count,
		T &	min,
		T &	max,
		int	absolute = 0
	)			[inline]

Calculates minimum and maximum values.

Referenced by imMinMaxType().

template<class T >

void imMinMaxType	(	const T *	map,
		int	count,
		T &	min,
		T &	max,
		int	absolute = 0
	)			[inline]

Calculates minimum and maximum values with additional considerations for data type conversion and normalized operations.

References imMinMax().