TY - GEN
T1 - Conformal Mesh Deformations with Möbius Transformations
AU - Vaxman, Amir
AU - Müller, Christian
AU - Weber, O.
N1 - Place of conference:Los Angeles, U.S.A
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
UR - https://scholar.google.co.il/scholar?q=Conformal+Mesh+Deformations+with+M%C3%B6bius+Transformations&btnG=&hl=en&as_sdt=0%2C5
M3 - Conference contribution
BT - SIGGRAPH
PB - ACM Transactions on Graphics
ER -