@article{liu2008on, author = {Liu, Yang and Wang, Wenping}, title = {On Vertex Offsets of Polyhedral Surfaces}, year = {2008}, month = {January}, abstract = {Planar-faced mesh surfaces, also known as polyhedral surfaces, that possess vertex-offsets are useful in architectural design for constructing supporting structures, and also of interest in discrete differential geometry. We consider the existence and computation of vertex-offset meshes of general polyhedral surfaces and, specifi- cally, study how the existence of vertex offsets is dictated by the face shape, mesh surface geometry and mesh surface topology. This extends the study in [Pottmann et al. 2007; Pottmann and Wallner 2008] on vertex-offset meshes of simply-connected circular quad meshes.}, url = {http://approjects.co.za/?big=en-us/research/publication/vertex-offsets-polyhedral-surfaces/}, journal = {Advances in Architectural Geometry}, edition = {Advances in Architectural Geometry}, }