TY - JOUR
T1 - BPM
T2 - Blended Piecewise Möbius Maps
AU - Rorberg, Shir
AU - Vaxman, Amir
AU - Ben-Chen, Mirela
N1 - Publisher Copyright:
© 2023 The Authors. Computer Graphics Forum published by Eurographics - The European Association for Computer Graphics and John Wiley & Sons Ltd.
PY - 2023/8
Y1 - 2023/8
N2 - We propose a novel Möbius interpolator that takes as an input a discrete map between the vertices of two planar triangle meshes, and outputs a continuous map on the input domain. The output map interpolates the discrete map, is continuous between triangles, and has low quasi-conformal distortion when the input map is discrete conformal. Our map leads to considerably smoother texture transfer compared to the alternatives, even on very coarse triangulations. Furthermore, our approach has a closed-form expression, is local, applicable to any discrete map, and leads to smooth results even for extreme deformations. Finally, by working with local intrinsic coordinates, our approach is easily generalizable to discrete maps between a surface triangle mesh and a planar mesh, i.e., a planar parameterization. We compare our method with existing approaches, and demonstrate better texture transfer results, and lower quasi-conformal errors.
AB - We propose a novel Möbius interpolator that takes as an input a discrete map between the vertices of two planar triangle meshes, and outputs a continuous map on the input domain. The output map interpolates the discrete map, is continuous between triangles, and has low quasi-conformal distortion when the input map is discrete conformal. Our map leads to considerably smoother texture transfer compared to the alternatives, even on very coarse triangulations. Furthermore, our approach has a closed-form expression, is local, applicable to any discrete map, and leads to smooth results even for extreme deformations. Finally, by working with local intrinsic coordinates, our approach is easily generalizable to discrete maps between a surface triangle mesh and a planar mesh, i.e., a planar parameterization. We compare our method with existing approaches, and demonstrate better texture transfer results, and lower quasi-conformal errors.
UR - http://www.scopus.com/inward/record.url?scp=85167656582&partnerID=8YFLogxK
U2 - 10.1111/cgf.14914
DO - 10.1111/cgf.14914
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85167656582
SN - 0167-7055
VL - 42
JO - Computer Graphics Forum
JF - Computer Graphics Forum
IS - 5
M1 - e14914
ER -