PDE methods for extracting normal vector fields and distance functions of shapes
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912446570037248 |
|---|---|
| author | Hasebe, Takahiro Masamune, Jun Teramoto, Hiroshi Yamada, Takayuki |
| author_facet | Hasebe, Takahiro Masamune, Jun Teramoto, Hiroshi Yamada, Takayuki |
| contents | Partial differential equations can be used for extracting geometric features of shapes. This article summarizes recent methods to extract the normal vector field from an elliptic equation proposed by Yamada and from the heat equation, and also a method to extract the (signed) distance function from an elliptic equation that generalizes Varadhan's in 1967. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19323 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | PDE methods for extracting normal vector fields and distance functions of shapes Hasebe, Takahiro Masamune, Jun Teramoto, Hiroshi Yamada, Takayuki Analysis of PDEs Optimization and Control 35J25, 35B40, 49Q10 Partial differential equations can be used for extracting geometric features of shapes. This article summarizes recent methods to extract the normal vector field from an elliptic equation proposed by Yamada and from the heat equation, and also a method to extract the (signed) distance function from an elliptic equation that generalizes Varadhan's in 1967. |
| title | PDE methods for extracting normal vector fields and distance functions of shapes |
| topic | Analysis of PDEs Optimization and Control 35J25, 35B40, 49Q10 |
| url | https://arxiv.org/abs/2506.19323 |