Interpolation/Spline/Vectors
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Summary
Function: vector pSpline( list v, float t, integer Loop );
B-Spline Interpolation between four vector points in a list of vectors that define a path.
Returns a vector
| • list | v | |||
| • float | t | – | Ranges between [0, 1] | |
| • integer | Loop | – | Whether the list is a curved line or loops into a closed shape. |
Specification
vector pSpline(list v, float t, integer Loop) { integer l = llGetListLength(v); t *= l-1; integer f = llFloor(t); t -= f; float t2 = t * t; float t3 = t2 * t; return ( ( (-t3 + (3.*t2) - (3.*t) + 1.) * llList2Vector(v, pIndex(f-1,l,Loop)) ) + ( ((3.*t3) - (6.*t2) + 4.) * llList2Vector(v, pIndex(f,l,Loop)) ) + ( ((-3.*t3) + (3.*t2) + (3.*t) + 1.) * llList2Vector(v, pIndex(f+1,l,Loop)) ) + ( t3 * llList2Vector(v, pIndex(f+2,l,Loop)) ) ) / 6.0; } integer pIndex( integer Index, integer Length, integer Loop) { if(Loop) return Index % Length; if(Index < 0) return 0; if(Index > --Length) return Length; return Index; } // Released into public domain. By Nexii Malthus.

