Publications in Scientific Journals:
A. Vaxman, C. Müller, O. Weber:
"Conformal Mesh Deformations with Möbius Transformations";
ACM Transactions on Graphics,
34/4
(2015),
55;
1
- 11.
English abstract:
We establish a framework to design triangular and circular polygonal meshes by using face-based compatible Möbius transformations. Embracing the viewpoint of surfaces from circles, we characterize discrete conformality for such meshes, in which the invariants are circles, cross-ratios, and mutual intersection angles. Such transformations are important in practice for editing meshes without distortions or loss of details. In addition, they are of substantial theoretical interest in discrete differential geometry. Our framework allows for handle-based deformations, and interpolation between given meshes with controlled conformal error.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1145/2766915
Created from the Publication Database of the Vienna University of Technology.