Pigeonhole principle bias

a note on bias introduced by the pigeonhold principle


20161222 bias distribution random

Uniform points on disc, circle, sphere and caps

a brief note on some basic uniform spatial distributions


20161128 distribution random

Minimum magnitude angle rotation between two normals

Given two normals find the rotation from one to the other


20160809 rotations normal graphics

Orthonormal basis from normal via quaternion similarity

two methods of computing an orthonormal basis from a unit (bi)vector.


20160706 graphics interpolation quantization distribution

Implied normals (unit bivectors as rotations)

a method of transforming a (bi)vector into a rotation for an implied representation.


20160626 interpolation quantization distribution

Quaternion half/double angle and Cayley transforms

a note on two transform pairs which reduce the working domain in quaternion space


20160530 interpolation quantization domain reduction

Quaternion rotation visualization

using visualizating as an exercise to note some quaternion properties


20160517 foundation viz

Quaternion are really Complex

some quaternion wankery support material for other posts


20160517 foundation

prns.h

a library for constant time random-access to a pseudo-random number sequence


20160419 random sequence

Sobol.h

a library for sampling Sobol sequences


20160418 low-discrepancy sampling sequence