Localized quasi-(bi)harmonic field and its applications
(Bi)harmonic field has wide applications in geometry processing. Traditionally, to locally control the influence region of a (bi)harmonic field, users usually need to determine the range of its support, regions with non-zero scalar values, by prescribing appropriate boundary conditions. However, thi...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
The Japan Society of Mechanical Engineers
2017-09-01
|
| Series: | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jamdsm/11/4/11_2017jamdsm0047/_pdf/-char/en |
| _version_ | 1828781710462943232 |
|---|---|
| author | Yao JIN Tongtong WANG Huaxiong ZHANG Yun ZHANG Jieyi ZHAO Ruofeng TONG |
| author_facet | Yao JIN Tongtong WANG Huaxiong ZHANG Yun ZHANG Jieyi ZHAO Ruofeng TONG |
| author_sort | Yao JIN |
| collection | DOAJ |
| description | (Bi)harmonic field has wide applications in geometry processing. Traditionally, to locally control the influence region of a (bi)harmonic field, users usually need to determine the range of its support, regions with non-zero scalar values, by prescribing appropriate boundary conditions. However, this way is non-intuitive and inconvenient. We proposed localized quasi-(bi)harmonic field, which is achieved through a ℓ1-norm regularized convex optimization. It can conveniently control the local support of the scalar field while still keeping some nice properties of the (bi)harmonic field. We applied the localized quasi-(bi)harmonic field in applications such as shape deformation and shape merging, and the experiment results show its benefits. |
| first_indexed | 2024-12-11T17:37:43Z |
| format | Article |
| id | doaj.art-816504ca619b47beaad4b2523afde0f6 |
| institution | Directory Open Access Journal |
| issn | 1881-3054 |
| language | English |
| last_indexed | 2024-12-11T17:37:43Z |
| publishDate | 2017-09-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| spelling | doaj.art-816504ca619b47beaad4b2523afde0f62022-12-22T00:56:37ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542017-09-01114JAMDSM0047JAMDSM004710.1299/jamdsm.2017jamdsm0047jamdsmLocalized quasi-(bi)harmonic field and its applicationsYao JIN0Tongtong WANG1Huaxiong ZHANG2Yun ZHANG3Jieyi ZHAO4Ruofeng TONG5College of Information Science and Technology, Zhejiang Sci-Tech UniversityCollege of Computer Science and Technology, Zhejiang UniversityCollege of Information Science and Technology, Zhejiang Sci-Tech UniversityZhejiang University of Media and CommunicationsUniversity of Texas School of Biomedical Informatics at HoustonCollege of Computer Science and Technology, Zhejiang University(Bi)harmonic field has wide applications in geometry processing. Traditionally, to locally control the influence region of a (bi)harmonic field, users usually need to determine the range of its support, regions with non-zero scalar values, by prescribing appropriate boundary conditions. However, this way is non-intuitive and inconvenient. We proposed localized quasi-(bi)harmonic field, which is achieved through a ℓ1-norm regularized convex optimization. It can conveniently control the local support of the scalar field while still keeping some nice properties of the (bi)harmonic field. We applied the localized quasi-(bi)harmonic field in applications such as shape deformation and shape merging, and the experiment results show its benefits.https://www.jstage.jst.go.jp/article/jamdsm/11/4/11_2017jamdsm0047/_pdf/-char/enharmonic fieldquasi-(bi)harmonic fieldlocal controlshape deformationshape merging |
| spellingShingle | Yao JIN Tongtong WANG Huaxiong ZHANG Yun ZHANG Jieyi ZHAO Ruofeng TONG Localized quasi-(bi)harmonic field and its applications Journal of Advanced Mechanical Design, Systems, and Manufacturing harmonic field quasi-(bi)harmonic field local control shape deformation shape merging |
| title | Localized quasi-(bi)harmonic field and its applications |
| title_full | Localized quasi-(bi)harmonic field and its applications |
| title_fullStr | Localized quasi-(bi)harmonic field and its applications |
| title_full_unstemmed | Localized quasi-(bi)harmonic field and its applications |
| title_short | Localized quasi-(bi)harmonic field and its applications |
| title_sort | localized quasi bi harmonic field and its applications |
| topic | harmonic field quasi-(bi)harmonic field local control shape deformation shape merging |
| url | https://www.jstage.jst.go.jp/article/jamdsm/11/4/11_2017jamdsm0047/_pdf/-char/en |
| work_keys_str_mv | AT yaojin localizedquasibiharmonicfieldanditsapplications AT tongtongwang localizedquasibiharmonicfieldanditsapplications AT huaxiongzhang localizedquasibiharmonicfieldanditsapplications AT yunzhang localizedquasibiharmonicfieldanditsapplications AT jieyizhao localizedquasibiharmonicfieldanditsapplications AT ruofengtong localizedquasibiharmonicfieldanditsapplications |