We introduce a new method to compute conformal parameterizations using a recent definition of discrete conformity, and establish a discrete version of the Riemann mapping theorem. Our algorithm can parameterize triangular, quadrangular and digital meshes. It can be adapted to preserve metric properties. To demonstrate the efficiency of our method, many examples are shown in the experiment section. © 2011 Springer-Verlag.
CITATION STYLE
Cartade, C., Malgouyres, R., Mercat, C., & Samir, C. (2011). Smooth 2D coordinate systems on discrete surfaces. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6607 LNCS, pp. 59–70). https://doi.org/10.1007/978-3-642-19867-0_5
Mendeley helps you to discover research relevant for your work.