org.openimaj.math.util

Class Interpolation

java.lang.Object

org.openimaj.math.util.Interpolation

public class Interpolation
extends Object

Static methods for performing interpolation

Author:

Jonathon Hare (jsh2@ecs.soton.ac.uk)

Constructor Summary

Constructors

Constructor and Description
Interpolation()

Method Summary

Modifier and Type	Method and Description
static double	bicubicInterp(double x, double y, double[][] p) Bicubic interpolation of the value at x,y where 0<=x<=1 and 0<=y<=1 given the values at integer coordinates from (-1,-1) to (3,3).
static float	bicubicInterp(float x, float y, float[][] p) Bicubic interpolation of the value at x,y where 0<=x<=1 and 0<=y<=1 given the values at integer coordinates from (-1,-1) to (3,3).
static double	bilerp(double x, double y, double f00, double f01, double f10, double f11) Bilinear interpolation of the value at x,y where 0<=x<=1 and 0<=y<=1 given the values at (0,0), (0,1), (1,0) and (1,1).
static float	bilerp(float x, float y, float f00, float f01, float f10, float f11) Bilinear interpolation of the value at x,y where 0<=x<=1 and 0<=y<=1 given the values at (0,0), (0,1), (1,0) and (1,1).
static float	bilerpf(float x, float y, float f00, float f01, float f10, float f11) Bilinear interpolation of the value at x,y where 0<=x<=1 and 0<=y<=1 given the values at (0,0), (0,1), (1,0) and (1,1).
static double	cubicInterp(double x, double[] y) Cubic interpolation of y at x (in 0..1) given y at x=[-1, 0, 1, 2]
static double	cubicInterp(double x, double y0, double y1, double y2, double y3) Cubic interpolation of y at x (in 0..1) given y at x=[-1, 0, 1, 2]
static float	cubicInterp(float x, float[] y) Cubic interpolation of y at x (in 0..1) given y at x=[-1, 0, 1, 2]
static float	cubicInterp(float x, float y0, float y1, float y2, float y3) Cubic interpolation of y at x (in 0..1) given y at x=[-1, 0, 1, 2]
static double	lerp(double x, double x0, double y0, double x1, double y1) Linear interpolation of y at x given x0,y0 and x1,y1.
static float	lerp(float x, float x0, float y0, float x1, float y1) Linear interpolation of y at x given x0,y0 and x1,y1.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Interpolation

public Interpolation()

Method Detail

lerp

public static float lerp(float x,
                         float x0,
                         float y0,
                         float x1,
                         float y1)

Linear interpolation of y at x given x0,y0 and x1,y1.

Parameters:

x - the x position

x0 - the first x position

y0 - the first y position

x1 - the second x position

y1 - the second y position

Returns:

the interpolated value (y) at x

lerp

public static double lerp(double x,
                          double x0,
                          double y0,
                          double x1,
                          double y1)

Linear interpolation of y at x given x0,y0 and x1,y1.

Parameters:

x - the x position

x0 - the first x position

y0 - the first y position

x1 - the second x position

y1 - the second y position

Returns:

the interpolated value (y) at x

cubicInterp

public static double cubicInterp(double x,
                                 double y0,
                                 double y1,
                                 double y2,
                                 double y3)

Cubic interpolation of y at x (in 0..1) given y at x=[-1, 0, 1, 2]

Parameters:

x - the x value to compute

y0 - y value at x=-1

y1 - y value at x=0

y2 - y value at x=1

y3 - y value at x=2

Returns:

the interpolated value

cubicInterp

public static float cubicInterp(float x,
                                float y0,
                                float y1,
                                float y2,
                                float y3)

Cubic interpolation of y at x (in 0..1) given y at x=[-1, 0, 1, 2]

Parameters:

x - the x value to compute

y0 - y value at x=-1

y1 - y value at x=0

y2 - y value at x=1

y3 - y value at x=2

Returns:

the interpolated value

cubicInterp

public static double cubicInterp(double x,
                                 double[] y)

Cubic interpolation of y at x (in 0..1) given y at x=[-1, 0, 1, 2]

Parameters:

x - the x value to compute

y - an array of 4 y values at x=[-1, 0, 1, 2]

Returns:

the interpolated value

cubicInterp

public static float cubicInterp(float x,
                                float[] y)

Cubic interpolation of y at x (in 0..1) given y at x=[-1, 0, 1, 2]

Parameters:

x - the x value to compute

y - an array of 4 y values at x=[-1, 0, 1, 2]

Returns:

the interpolated value

bilerp

public static double bilerp(double x,
                            double y,
                            double f00,
                            double f01,
                            double f10,
                            double f11)

Bilinear interpolation of the value at x,y where 0<=x<=1 and 0<=y<=1 given the values at (0,0), (0,1), (1,0) and (1,1). Note: This will work for other values of (x,y) but doesn't normally make sense.

Parameters:

x - the x position (in 0..1)

y - the y position (in 0..1)

f00 - the value at (0,0)

f01 - the value at (0,1)

f10 - the value at (1,0)

f11 - the value at (1,1)

Returns:

the interpolated value (x,y)

bilerpf

public static float bilerpf(float x,
                            float y,
                            float f00,
                            float f01,
                            float f10,
                            float f11)

Bilinear interpolation of the value at x,y where 0<=x<=1 and 0<=y<=1 given the values at (0,0), (0,1), (1,0) and (1,1). Note: This will work for other values of (x,y) but doesn't normally make sense.

Parameters:

x - the x position (in 0..1)

y - the y position (in 0..1)

f00 - the value at (0,0)

f01 - the value at (0,1)

f10 - the value at (1,0)

f11 - the value at (1,1)

Returns:

the interpolated value (x,y)

bilerp

public static float bilerp(float x,
                           float y,
                           float f00,
                           float f01,
                           float f10,
                           float f11)

Bilinear interpolation of the value at x,y where 0<=x<=1 and 0<=y<=1 given the values at (0,0), (0,1), (1,0) and (1,1). Note: This will work for other values of (x,y) but doesn't normally make sense.

Parameters:

x - the x position (in 0..1)

y - the y position (in 0..1)

f00 - the value at (0,0)

f01 - the value at (0,1)

f10 - the value at (1,0)

f11 - the value at (1,1)

Returns:

the interpolated value (x,y)

bicubicInterp

public static double bicubicInterp(double x,
                                   double y,
                                   double[][] p)

Bicubic interpolation of the value at x,y where 0<=x<=1 and 0<=y<=1 given the values at integer coordinates from (-1,-1) to (3,3).

Parameters:

x - the x position (in 0..1)

y - the y position (in 0..1)

p - a 4x4 array of known values at (-1,-1) to (3,3)

Returns:

the interpolated value (x,y)

bicubicInterp

public static float bicubicInterp(float x,
                                  float y,
                                  float[][] p)

Bicubic interpolation of the value at x,y where 0<=x<=1 and 0<=y<=1 given the values at integer coordinates from (-1,-1) to (3,3).

Parameters:

x - the x position (in 0..1)

y - the y position (in 0..1)

p - a 4x4 array of known values at (-1,-1) to (3,3)

Returns:

the interpolated value (x,y)