Interpolation/Catmull-Rom

Catmull-Rom Interpolation

Float Catmull-Rom

Catmull-Rom cubic interpolation spline of four floats with fraction t. The four floats are stored in a compact rotation format. <lsl> rotation mCat1 = <-0.5, 1.0, -0.5, 0.0>; rotation mCat2 = < 1.5, -2.5, 0.0, 1.0>; rotation mCat3 = <-1.5, 2.0, 0.5, 0.0>; rotation mCat4 = < 0.5, -0.5, 0.0, 0.0>; float fCatmullRom(rotation H, float t) { rotation ABCD = < (H.x * mCat1.x) + (H.y * mCat2.x) + (H.z * mCat3.x) + (H.s * mCat4.x), (H.x * mCat1.y) + (H.y * mCat2.y) + (H.z * mCat3.y) + (H.s * mCat4.y), (H.x * mCat1.z) + (H.y * mCat2.z) + (H.z * mCat3.z) + (H.s * mCat4.z), (H.x * mCat1.s) + (H.y * mCat2.s) + (H.z * mCat3.s) + (H.s * mCat4.s) >; rotation T; T.s = 1.0; T.z = t; T.y = T.z*T.z; T.x = T.y*T.z; return T.x*ABCD.x + T.y*ABCD.y + T.z*ABCD.z + T.s*ABCD.s; } </lsl> Input Description rotation H <float f0, float f1, float f2, float f3> float t Fraction of interpolation Output Description return float fCatmullRom Returns Catmull-Rom cubic interpolation Graph goes here, k. Released to Public Domain. By Nexii Malthus