Overlapping constraint for variational surface reconstruction

Authors:
Henrik Aanæs;Jan Erik Solem
Affiliations:
Informatics and Mathematical Modelling, Technical University of Denmark, Kgs. Lyngby, Denmark;Jan Erik Solem, School of Technology and Society, Malmö University, Malmö, Sweden
Venue:
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
Year:
2005

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Abstract

In this paper a counter example, illustrating a shortcoming in most variational formulations for 3D surface estimation, is presented. The nature of this shortcoming is a lack of an overlapping constraint. A remedy for this shortcoming is presented in the form of a penalty function with an analysis of the effects of this function on surface motion. For practical purposes, this will only have minor influence on current methods. However, the insight provided in the analysis is likely to influence future developments in the field of variational surface reconstruction.