Curvature Aware Fundamental Cycles
Pablo Diaz‐Gutierrez, David Eppstein, M. Gopi · Computer Graphics Forum · 2009
Abstract We present a graph algorithm to find fundamental cycles aligned with the principal curvature directions of a surface. Specifically, we use the tree‐cotree decomposition of graphs embedded in manifolds, guided with edge weights, in order to produce these cycles. Our algorithm is very quick compared to existing methods, with a worst case running time ofO(nlogn+gn) wherenis the number of faces andgis the surface genus. Further, its flexibility to accommodate different weighting functions and to handle boundaries may be used to produce cycles suitable for a variety of applications and models.