Finsler Geometry for Anisotropic Shape Analysis: Deriving a Novel Finsler-Laplace-Beltrami Operator

This work explores Finsler manifolds as a generalization of Riemannian manifolds and derives a novel Finsler-Laplace-Beltrami Operator (FLBO) that can be used as a theoretically justified alternative to traditional anisotropic Laplace-Beltrami operators (ALBOs) for spatial filtering and shape correspondence estimation.