NewGamePhysics.Mathematics.Bicubic Class Reference

Bicubic value interpolator. Reference: http://mrl.nyu.edu/~perlin/java/Bicubic.html. More...

List of all members.

Public Member Functions
	Bicubic (double[,] G)
	Calculates bicubic coefficients from 16 grid values.
double	Calc (double x, double y)
	Calculate bicubic interpolate on a unit square.

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Detailed Description

Bicubic value interpolator. Reference: http://mrl.nyu.edu/~perlin/java/Bicubic.html.

Definition at line 15 of file Bicubic.cs.

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Constructor & Destructor Documentation

NewGamePhysics.Mathematics.Bicubic.Bicubic

(

double

G[,]

)

Calculates bicubic coefficients from 16 grid values.

Parameters:

G

Values at at [-1,0,1,2]x[-1,0,1,2].

Definition at line 35 of file Bicubic.cs.

        {
            if ((G == null) && (G.Length != 16))
            {
                throw new ArgumentOutOfRangeException("G");
            }

            double[,] T = new double[4, 4];

            // T = G * MT
            for (int i = 0; i < 4; i++)
            {
                for (int j = 0; j < 4; j++)
                {
                    for (int k = 0; k < 4; k++)
                    {
                        T[i, j] += G[i, k] * M[j, k];
                    }
                }
            }

            // C = M * T
            for (int i = 0; i < 4; i++)
            {
                for (int j = 0; j < 4; j++)
                {
                    for (int k = 0; k < 4; k++)
                    {
                        C[i, j] += M[i, k] * T[k, j];
                    }
                }
            }
        }

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Member Function Documentation

double NewGamePhysics.Mathematics.Bicubic.Calc	(	double	x,
		double	y
	)

Calculate bicubic interpolate on a unit square.

Parameters:

	x	The x coordinate.
	y	The y coordinate.

Returns:

The interpolated value at x,y

Definition at line 75 of file Bicubic.cs.

        {
            if ((x < 0.0) || (x > 1.0))
            {
                throw new ArgumentOutOfRangeException("x");
            }

            if ((y < 0.0) || (y > 1.0))
            {
                throw new ArgumentOutOfRangeException("y");
            }

            return x * (x * (x * (y * (y * (y * C[0, 0] + C[0, 1]) + C[0, 2]) + C[0, 3])
                               + (y * (y * (y * C[1, 0] + C[1, 1]) + C[1, 2]) + C[1, 3]))
                               + (y * (y * (y * C[2, 0] + C[2, 1]) + C[2, 2]) + C[2, 3]))
                               + (y * (y * (y * C[3, 0] + C[3, 1]) + C[3, 2]) + C[3, 3]);
        }

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The documentation for this class was generated from the following file:

• C:/Users/Andreas Schiffler/Desktop/SVN/NewGamePhysics/NewGamePhysics/Mathematics/Bicubic.cs