Octahedral fields for feature-aligned cross-fields
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2020
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| Online Access: | https://hdl.handle.net/1721.1/128305 |
| _version_ | 1811088915283574784 |
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| author | Zhang, Paul,S.M.Massachusetts Institute of Technology. |
| author2 | Justin Solomon. |
| author_facet | Justin Solomon. Zhang, Paul,S.M.Massachusetts Institute of Technology. |
| author_sort | Zhang, Paul,S.M.Massachusetts Institute of Technology. |
| collection | MIT |
| description | This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. |
| first_indexed | 2024-09-23T14:09:55Z |
| format | Thesis |
| id | mit-1721.1/128305 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T14:09:55Z |
| publishDate | 2020 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1283052020-11-04T03:12:33Z Octahedral fields for feature-aligned cross-fields Zhang, Paul,S.M.Massachusetts Institute of Technology. Justin Solomon. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Electrical Engineering and Computer Science. 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 2020-11-03T20:29:20Z 2020-11-03T20:29:20Z 2020 2020 Thesis https://hdl.handle.net/1721.1/128305 1202001570 eng 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 61 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Electrical Engineering and Computer Science. Zhang, Paul,S.M.Massachusetts Institute of Technology. Octahedral fields for feature-aligned cross-fields |
| title | Octahedral fields for feature-aligned cross-fields |
| title_full | Octahedral fields for feature-aligned cross-fields |
| title_fullStr | Octahedral fields for feature-aligned cross-fields |
| title_full_unstemmed | Octahedral fields for feature-aligned cross-fields |
| title_short | Octahedral fields for feature-aligned cross-fields |
| title_sort | octahedral fields for feature aligned cross fields |
| topic | Electrical Engineering and Computer Science. |
| url | https://hdl.handle.net/1721.1/128305 |
| work_keys_str_mv | AT zhangpaulsmmassachusettsinstituteoftechnology octahedralfieldsforfeaturealignedcrossfields |