Written by Simon Jacobi Software engineer passionate about algorithms, Computer Vision, Machine learning, computational geometry and Comp Sci.
This article explains curve parameterization, covering sampling methods, differential geometry, curve length approximation, arc-length parameterization, and numerical techniques for uniform traversal, with practical C++ implementations.
This article explores the probabilistic reasoning errors in the Dreyfus Affair, analyzed by Poincaré, Darboux, and Appell in 1904, and revisits their implications using modern mathematical language.
Exploring path following with Kochanek–Bartels splines, this post delves into tension, bias, and continuity controls, their implementation in animation systems, and Hermite interpolation for smooth trajectory and speed control.
Splines, once used in 18th-century shipbuilding, evolved into a key concept in computer graphics, pioneered in the 1950s by Paul de Casteljau and Pierre Bézier for CAD.
