Higher Order Continuity for Smooth As-Rigid-As-Possible Shape Modeling
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911693001457664 |
|---|---|
| author | Oehri, Annika Herholz, Philipp Sorkine-Hornung, Olga |
| author_facet | Oehri, Annika Herholz, Philipp Sorkine-Hornung, Olga |
| contents | We propose a modification of the As-Rigid-As-Possible (ARAP) mesh deformation energy with higher order smoothness, which overcomes a prominent limitation of the original ARAP formulation: spikes and lack of continuity at the manipulation handles. Our method avoids spikes even when using single-point positional constraints. Since no explicit rotations have to be specified, the user interaction can be realized through a simple click-and-drag interface, where points on the mesh can be selected and moved around while the rest of the mesh surface automatically deforms accordingly. Our method preserves the benefits of ARAP deformations: it is easy to implement and thus useful for practical applications, while its efficiency makes it usable in real-time, interactive scenarios on detailed models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher Order Continuity for Smooth As-Rigid-As-Possible Shape Modeling Oehri, Annika Herholz, Philipp Sorkine-Hornung, Olga Computational Geometry We propose a modification of the As-Rigid-As-Possible (ARAP) mesh deformation energy with higher order smoothness, which overcomes a prominent limitation of the original ARAP formulation: spikes and lack of continuity at the manipulation handles. Our method avoids spikes even when using single-point positional constraints. Since no explicit rotations have to be specified, the user interaction can be realized through a simple click-and-drag interface, where points on the mesh can be selected and moved around while the rest of the mesh surface automatically deforms accordingly. Our method preserves the benefits of ARAP deformations: it is easy to implement and thus useful for practical applications, while its efficiency makes it usable in real-time, interactive scenarios on detailed models. |
| title | Higher Order Continuity for Smooth As-Rigid-As-Possible Shape Modeling |
| topic | Computational Geometry |
| url | https://arxiv.org/abs/2501.10335 |