Octahedral Frames for Feature-Aligned Cross Fields

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)

Division/Institute:

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:

10 May 2020 02:45

Publisher DOI:

10.1145/3374209

BORIS DOI:

10.7892/boris.143770

URI:

https://boris.unibe.ch/id/eprint/143770

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