Repository: Freie Universit├Ąt Berlin, Math Department

Axiomatic scalar data interpolation on manifolds

Sander, O. and Caselles, V. and Bertalmio, M. (2003) Axiomatic scalar data interpolation on manifolds. In: International Conference on Image Processing (ICIP) 2003. Proceedings. IEEE, Barcelona, Spain, pp. 681-684. ISBN 0-7803-7750-8

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We discuss possible algorithms for interpolating data given in a set of curves and/or points in a surface in R^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.

Item Type:Book Section
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1835
Deposited By: Ekaterina Engel
Deposited On:15 Apr 2016 12:11
Last Modified:15 Apr 2016 12:11

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