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Curvature Aware Fundamental Cycles
Author(s) -
DiazGutierrez P.,
Eppstein D.,
Gopi M.
Publication year - 2009
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/j.1467-8659.2009.01580.x
Subject(s) - weighting , computer science , curvature , graph , principal curvature , surface (topology) , algorithm , flexibility (engineering) , enhanced data rates for gsm evolution , theoretical computer science , mathematics , mean curvature , geometry , artificial intelligence , radiology , medicine , statistics
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 of O ( n log n + gn ) where n is the number of faces and g is 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.