Hair Project Phase 0: Parting Line

A geometric framework for modelling a substantial range of human hair curvature. Most of the variation in hair curvature is indistinguishable under a specific mode of perception. This leads to the discretizing of hair categories which obscure our interconnectedness. This paper presents an initial geometric model built to accommodate that full spectrum. It sets out the mathematical foundations behind the model: the hemisphere framework, and the derivations that let two parameters illustrate the continuous nature of Humanity. The result is a model designed not just to describe hair, but to do so in a way that remains computationally and mathematically tractable across a substantial range of natural human variation. Contents include: Research into current issues surrounding hair morphology The curvature framework and its geometric basis Mathematical derivation of the model Considerations for implementation Who this is for:Researchers and recruiters and students in computer graphics, geometric modelling, and computational geometry, as well as anyone working on physically-based simulation of fibrous materials. This is an undergraduate paper, but should nevertheless spark your interest. 30 pages. Diagrams and equations throughout.