Difference between revisions of "Interpolation"

Latest revision as of 13:10, 16 September 2011

Interpolation is a way of constructing new data points within a range of known data points.

The range of applications is varied, but here in SL it can most directly be used for animating and/or moving prims or linksets via any attribute you can creatively make use of.

Attributes:

Prim/Object Position
Prim/Object Rotation
Texture Scale/Offsets
or you can just simply interpolate internal values

Potential applications:

Movement
Animation
User Interfaces
Graphics
Games

There are many different types of interpolation, which may exhibit different preferred or controllable behaviour.

Interpolation Library

Linear Interpolation

Cosine Interpolation

Cubic Interpolation

Catmull-Rom Cubic Interpolation

Float

Hermite Interpolation

Float
Vector

Spline Interpolation

List of Vectors

Rescale

Target

Float

@@ Line 1: / Line 1: @@
 {{LSL Header}}
-Changes/
-.0-1.1 - Added rotation types
-<lsl>
+Interpolation is a way of constructing new data points within a range of known data points.
-//===================================================//
-//               Interpolation Library 1.1           //
-//               "May 7 2008", "19:16:20 GMT-0"      //
-//  Copyright (C) 2008, Nexii Malthus (cc-by)        //
-//    http://creativecommons.org/licenses/by/3.0/    //
-//===================================================//
-float fLin(float v0, float v1,float t){
+The range of applications is varied, but here in SL it can most directly be used for animating and/or moving prims or linksets via any attribute you can creatively make use of.
-    return v0*(1-t) + v1*t;}
-float fCos(float v0,float v1,float t){
+Attributes:
-    float F = (1 - llCos(t*PI))/2;
+* Prim/Object Position
-    return v0*(1-F)+v1*F;}
+* Prim/Object Rotation
+* Texture Scale/Offsets
+* or you can just simply interpolate internal values
-float fCub(float v0,float v1,float v2,float v3,float t){
+Potential applications:
-    float P = (v3-v2)-(v0-v1);float Q = (v0-v1)-P;float R = v2-v0;float S = v1;
+* Movement
-    return P*llPow(t,3) + Q*llPow(t,2) + R*t + S;}
+* Animation
+* User Interfaces
+* Graphics
+* Games
-vector vLin(vector v0, vector v1,float t){
+There are many different types of interpolation, which may exhibit different preferred or controllable behaviour.
-    return v0*(1-t) + v1*t;}
-vector vCos(vector v0,vector v1,float t){
-    float F = (1 - llCos(t*PI))/2;
-    return v0*(1-F)+v1*F;}
-vector vCub(vector v0,vector v1,vector v2,vector v3,float t){
-    vector P = (v3-v2)-(v0-v1);vector Q = (v0-v1)-P;vector R = v2-v0;vector S = v1;
-    return P*llPow(t,3) + Q*llPow(t,2) + R*t + S;}
-rotation rLin(rotation r0,rotation r1,float t){
+== Interpolation Library ==
-    // Spherical-Linear Interpolation
-    float ang = llAngleBetween(r0, r1);
-    if( ang > PI) ang -= TWO_PI;
-    return r0 * llAxisAngle2Rot( llRot2Axis(r1/r0)*r0, ang*t);}
-rotation rCos(rotation r0,rotation r1,float t){
+Linear Interpolation
-    // Spherical-Cosine Interpolation
+* [[Interpolation/Linear/Float|Float]]
-    float f = (1 - llCos(t*PI))/2;
+* [[Interpolation/Linear/Vector|Vector]]
-    float ang = llAngleBetween(r0, r1);
+* [[Interpolation/Linear/Rotation|Rotation]]
-    if( ang > PI) ang -= TWO_PI;
+* List of [[Interpolation/Linear/Vectors|Vectors]]
-    return r0 * llAxisAngle2Rot( llRot2Axis(r1/r0)*r0, ang*f);}
-rotation rCub(rotation r0,rotation r1,rotation r2,rotation r3,float t){
-    // Spherical-Cubic Interpolation
-    // r0 = Start, r1 = End, r2 and r3 affect path of curve!
-    return rLin( rLin(r0,r1,t), rLin(r2,r3,t), 2*t*(1-t) );}
-default{state_entry(){}}
+Cosine Interpolation
+* [[Interpolation/Cosine/Float|Float]]
+* [[Interpolation/Cosine/Vector|Vector]]
+* [[Interpolation/Cosine/Rotation|Rotation]]
-</lsl>
+Cubic Interpolation
+* [[Interpolation/Cubic/Float|Float]]
+* [[Interpolation/Cubic/Vector|Vector]]
+* [[Interpolation/Cubic/Rotation|Rotation]]
+Catmull-Rom Cubic Interpolation
+* [[Interpolation/Catmull-Rom/Float|Float]]
+Hermite Interpolation
+* [[Interpolation/Hermite/Float|Float]]
+* [[Interpolation/Hermite/Vector|Vector]]
+Spline Interpolation
+* List of [[Interpolation/Spline/Vectors|Vectors]]
+Rescale
+* [[Interpolation/Rescale/Float|Float]]
+* [[Interpolation/Rescale/FloatFixed|Float Fixed]]
+Target
+* [[Interpolation/Target/Float|Float]]

Difference between revisions of "Interpolation"

Latest revision as of 13:10, 16 September 2011

Interpolation Library

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