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.
|Title of host publication||Image Analysis, Proceedings|
|Place of Publication||Berlin|
|Publication status||Published - 2005|
|Series||Lecture Notes in Computer Science|
Aanæs, H., & Solem, J. E. (2005). Overlapping constraint for variational surface reconstruction. In Image Analysis, Proceedings Berlin: Springer-verlag Berlin. Lecture Notes in Computer Science, No. 3540