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.
Penner 좌표에서의 메트릭 최적화의 중요성과 유용성
Penner coordinates play a crucial role in solving optimization problems involving metrics, ensuring solution existence guarantees.
The authors explore the use of Penner coordinates to solve metric optimization problems, focusing on conformal mapping and angle constraints.