SPA_Spline

spa

1998 12-06

CLASS

SYNOPSIS

MEMBER FUNCTIONS

static Cardinal2D(float t,float p0,float p1,float p2,float p3)

static Cardinal2D(float t,float p[4])
For a value of t from 0.0 to 1.0, returns a value where t of 0.0 returns p1 and t of 1.0 returns p2. p0 and p3 represent t of -1.0 and 2.0, respectively, but using values of t outside 0.0 to 1.0 is not valid. p0 and p3 are used to influence the non-linear interpolation in the valid region. If control points are taken successively from a longer list, a continuous curve fit can be produced.



static Cardinal3D(float x,float y,float p[4][4])
For a value of x and y each from 0.0 to 1.0, returns a value where x,y of <0.0,0.0> returns p[1][1], x,y of <1.0,0.0> returns p[1][2], x,y of <0.0,1.0> returns p[2][1], and x,y of <1.0,1.0> returns p[2][2]. The other entries in the control matrix influence the non-linear interpolation, like in Cardinal2D().



static FlatAverage(float x,float y,float p0,float p1,float p2,float p3)

static FlatAverage(float x,float y,float p[4])
Simple linear interpolation over x and y each from 0.0 to 1.0, where x,y of <0.0,0.0> returns p0, x,y of <1.0,0.0> returns p1, x,y of <0.0,1.0> returns p2, and x,y of <1.0,1.0> returns p3.

AUTHOR