Connectivity editing for quadrilateral meshes

TitleConnectivity editing for quadrilateral meshes
Publication TypeConference Paper
Year of Publication2011
AuthorsPeng, C. - H., E. Zhang, Y. Kobayashi, and P. Wonka
Conference NameSIGGRAPH Asia Conference - SA '11
Date Published06/2011
PublisherACM Press
Conference LocationHong Kong, China
ISBN Number9781450308076

We propose new connectivity editing operations for quadrilateral meshes with the unique ability to explicitly control the location, orientation, type, and number of the irregular vertices (valence not equal to four) in the mesh while preserving sharp edges. We provide theoretical analysis on what editing operations are possible and impossible and introduce three fundamental operations to move and re-orient a pair of irregular vertices. We argue that our editing operations are fundamental, because they only change the quad mesh in the smallest possible region and involve the fewest irregular vertices (i.e., two). The irregular vertex movement operations are supplemented by operations for the splitting, merging, canceling, and aligning of irregular vertices. We explain how the proposed high-level operations are realized through graph-level editing operations such as quad collapses, edge flips, and edge splits. The utility of these mesh editing operations are demonstrated by improving the connectivity of quad meshes generated from state-of-art quadrangulation techniques.