The Alexandra Institute is back with another tutorial, this time pretty math-heavy as they describe a method for warping arbitrary 3D geometry using “Radial Basis Functions (RBF’s)”. What are RBF’s you ask?
These are mathematical functions that take a real number as input argument and return a real number. RBFs can be used for creating a smooth interpolation between values known only at a discrete set of positions. The term radial is used because the input argument given is typically computed as the distance between a fixed position in 3D space and another position at which we would like to evaluate a certain quantity.
The tutorial contains descriptions of all the Linear Algebra involved, as well as C++ code and a Visual Studio project for you to try it out yourself.
via Noe’s tutorial on deforming 3D geometry using RBFs « Computer Graphics – Alexandra Institute.
