TY - GEN

T1 - Connectivity editing for quadrilateral meshes

AU - Peng, Chi Han

AU - Zhang, Eugene

AU - Kobayashi, Yoshihiro

AU - Wonka, Peter

PY - 2011/12/1

Y1 - 2011/12/1

N2 - 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 highlevel 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.

AB - 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 highlevel 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.

KW - Geometry processing

KW - Irregular vertex editing

KW - Mesh optimization

KW - Mesh-based design

KW - Quadrilateral mesh editing

KW - Topology

UR - http://www.scopus.com/inward/record.url?scp=84855435716&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855435716&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84855435716

SN - 9781450308076

T3 - Proceedings of the 2011 SIGGRAPH Asia Conference, SA'11

BT - Proceedings of the 2011 SIGGRAPH Asia Conference, SA'11

T2 - 2011 SIGGRAPH Asia Conference, SA'11

Y2 - 12 December 2011 through 15 December 2011

ER -