Zhang, Paul; Vekhter, Josh; Chien, Edward; Bommes, David; Vouga, Etienne; Solomon, Justin (2020). Octahedral Frames for Feature-Aligned Cross Fields. ACM transactions on graphics, 39(3), pp. 1-13. Association for Computing Machinery 10.1145/3374209
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We present a method for designing smooth cross fields on surfaces that automatically align to sharp features of an underlying geometry. Our approach introduces a novel class of energies based on a representation of cross fields in the spherical harmonic basis. We provide theoretical analysis of these energies in the smooth setting, showing that they penalize deviations from surface creases while otherwise promoting intrinsically smooth fields. We demonstrate the applicability of our method to quad meshing and include an extensive benchmark comparing our fields to other automatic approaches for generating feature-aligned cross fields on triangle meshes.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Institute of Computer Science (INF) > Computer Graphics Group (CGG) 08 Faculty of Science > Institute of Computer Science (INF) |
UniBE Contributor: |
Bommes, David |
Subjects: |
000 Computer science, knowledge & systems 500 Science > 510 Mathematics |
ISSN: |
0730-0301 |
Publisher: |
Association for Computing Machinery |
Language: |
English |
Submitter: |
Nicolas Gallego Ortiz |
Date Deposited: |
30 Apr 2020 10:40 |
Last Modified: |
05 Dec 2022 15:38 |
Publisher DOI: |
10.1145/3374209 |
BORIS DOI: |
10.7892/boris.143770 |
URI: |
https://boris.unibe.ch/id/eprint/143770 |