Artículo
Axiomatic scalar data interpolation on manifolds
Fecha
2003Registro en:
Sander, O., Caselles, Vicent, Bertalmío, M. Axiomatic scalar data interpolation on manifolds. International Conference on Image Processing, Barcelona, Spain, 2003.
Autor
Sander, O
Caselles, Vicent
Bertalmío, Marcelo
Institución
Resumen
We discuss possible algorithms for interpolating data given in a set of curves and/or points in a surface in /spl Ropf//sup 3/. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The absolute minimal Lipschitz extension model (AMLE) is singled out and studied in more detail. We show experiments illustrating the interpolation of data on the sphere and the torus.