2026-09-20T23:52:59Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1283052021-07-05T14:03:20Zcom_1721.1_7582com_1721.1_7581col_1721.1_131023
Justin Solomon.
Zhang, Paul,S.M.Massachusetts Institute of Technology.
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science.
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
2020-11-03T20:29:20Z
2020-11-03T20:29:20Z
2020
2020
https://hdl.handle.net/1721.1/128305
1202001570
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Thesis: S.M., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, February, 2020
Cataloged from student-submitted PDF version of thesis.
Includes bibliographical references (pages 59-61).
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 use these new energies to generate feature-aligned cross fields and demonstrate the applicability of our method to quad-meshing.
by Paul Zhang.
S.M.
S.M. Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science
61 pages
eng
Massachusetts Institute of Technology
MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided.
http://dspace.mit.edu/handle/1721.1/7582
Electrical Engineering and Computer Science.
Octahedral fields for feature-aligned cross-fields
Thesis
application/pdf
2020-11-03T20:29:19Z
Publication
Master
EECS
unknown
unknown
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