Trivial Connections on Discrete Surfaces

This paper presents a straightforward algorithm for constructing connections on discrete surfaces that are as smooth as possible everywhere but on a set of isolated singularities with given index. We compute these connections by solving a single linear system built from standard operators. The solution can be used to design rotationally symmetric direction fields with user-specified singularities and directional constraints. Categories and Subject Descriptors (according to ACM CCS): I.3.3 [Computer Graphics]: Picture/Image Generation-Line and curve generation

• Type: Journal
• Year: 2010
• Where: CGF
• Authors: Keenan Crane, Mathieu Desbrun, Peter Schröder
• Keywords: CGF 2010, Straightforward Algorithm, Symmetric Direction Fields, User-specified Singularities