Mesh-based interpolation on 2-manifolds
This paper presents a global L1-estimate for the convergence of mesh-based interpolants on 2-manifolds defined over multiple coordinate systems and analyzes the convergence of an integral on a triangulated approximate manifold to the desired integral on the manifold being approximated. To place this...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1067 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565145036914688 |
|---|---|
| author | Kevin Scully |
| author_facet | Kevin Scully |
| author_sort | Kevin Scully |
| collection | DOAJ |
| description | This paper presents a global L1-estimate for the convergence of
mesh-based interpolants on 2-manifolds defined over multiple
coordinate systems and analyzes the convergence of an integral on
a triangulated approximate manifold to the desired integral on the
manifold being approximated. To place this estimate in context,
previous convergence estimates for interpolation techniques on
manifolds are presented. Finally, numerical results demonstrating
the value of the L1-estimate are presented. |
| format | Article |
| id | doaj-art-1a45cfbecbc143d697d1d8f7b2676415 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1a45cfbecbc143d697d1d8f7b26764152025-02-03T01:09:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-01200571067108310.1155/IJMMS.2005.1067Mesh-based interpolation on 2-manifoldsKevin Scully0The Aerospace Corporation, P.O. Box 92957, Los Angeles 90009-2957, CA, USAThis paper presents a global L1-estimate for the convergence of mesh-based interpolants on 2-manifolds defined over multiple coordinate systems and analyzes the convergence of an integral on a triangulated approximate manifold to the desired integral on the manifold being approximated. To place this estimate in context, previous convergence estimates for interpolation techniques on manifolds are presented. Finally, numerical results demonstrating the value of the L1-estimate are presented.http://dx.doi.org/10.1155/IJMMS.2005.1067 |
| spellingShingle | Kevin Scully Mesh-based interpolation on 2-manifolds International Journal of Mathematics and Mathematical Sciences |
| title | Mesh-based interpolation on 2-manifolds |
| title_full | Mesh-based interpolation on 2-manifolds |
| title_fullStr | Mesh-based interpolation on 2-manifolds |
| title_full_unstemmed | Mesh-based interpolation on 2-manifolds |
| title_short | Mesh-based interpolation on 2-manifolds |
| title_sort | mesh based interpolation on 2 manifolds |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1067 |
| work_keys_str_mv | AT kevinscully meshbasedinterpolationon2manifolds |