@techreport{wang2007hexagonal,
author = {Wang, Wenping and Liu, Yang and Yan, Dongming and Chan, Bin and Ling, Ruotian and Sun, Feng},
title = {Hexagonal Meshes with Planar Faces},
year = {2007},
month = {September},
abstract = {Free-form meshes with planar hexagonal faces, to be called P-Hex meshes, provide a useful surface representation in discrete differential geometry and are demanded in architectural design for representing surfaces built with planar glass/metal panels. We study the geometry of P-Hex meshes and present an algorithm for computing a free-form P-Hex mesh of a specified shape. Our algorithm first computes a regular triangulation of a given surface and then turns it into a P-Hex mesh approximating the surface. A novel local duality transformation, called Dupin duality, is introduced for studying relationship between triangular meshes and for controlling the face shapes of P-Hex meshes.},
url = {http://approjects.co.za/?big=en-us/research/publication/hexagonal-meshes-planar-faces/},
number = {TR-2008-13},
}