Difference between revisions of "Interpolation/Hermite/Vector"
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Hermite interpolation of vectors a, b, c and d with fraction t, tension and bias. | Hermite interpolation of vectors a, b, c and d with fraction t, tension and bias. | ||
|spec=<lsl>vector | |spec=<lsl>vector vHem(vector a, vector b, vector c, vector d, float t, float tens, float bias){ | ||
float t2 = t*t;float t3 = t2*t; | float t2 = t*t;float t3 = t2*t; | ||
vectora 0 = (b-a)*(1+bias)*(1-tens)/2; | vectora 0 = (b-a)*(1+bias)*(1-tens)/2; | ||
Revision as of 04:14, 14 September 2011
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Summary
Function: vector vHem( vector a, vector b, vector c, vector d, float t, float tens, float bias );
Hermite interpolation of vectors a, b, c and d with fraction t, tension and bias.
Returns a vector
| • vector | a | |||
| • vector | b | |||
| • vector | c | |||
| • vector | d | |||
| • float | t | |||
| • float | tens | |||
| • float | bias |
Specification
<lsl>vector vHem(vector a, vector b, vector c, vector d, float t, float tens, float bias){
float t2 = t*t;float t3 = t2*t;
vectora 0 = (b-a)*(1+bias)*(1-tens)/2;
a0 += (c-b)*(1-bias)*(1-tens)/2;
vector a1 = (c-b)*(1+bias)*(1-tens)/2;
a1 += (d-c)*(1-bias)*(1-tens)/2;
float b0 = 2*t3 - 3*t2 + 1;
float b1 = t3 - 2*t2 + t;
float b2 = t3 - t2;
float b3 = -2*t3 + 3*t2;
return b0 * b + b1 * a0 + b2 * a1 + b3 * c;
} // Released into public domain. By Nexii Malthus.</lsl>
Examples
<lsl></lsl>