Non-rigid registration of 2D manifolds in 3D Euclidian space

Sune Darkner; Martin Vester-Christensen; Rasmus R. Paulsen; Rasmus Larsen

doi:10.1117/12.769794

19 March 2008 Non-rigid registration of 2D manifolds in 3D Euclidian space

Sune Darkner, Martin Vester-Christensen, Rasmus R. Paulsen, Rasmus Larsen

Proceedings Volume 6914, Medical Imaging 2008: Image Processing; 69142R (2008) https://doi.org/10.1117/12.769794
Event: Medical Imaging, 2008, San Diego, California, United States

Abstract

This work describes a non-rigid registration method for open 2D manifold embedded in 3D Euclidian space. The method is based on difference of distance maps and grid based warps interpolated by splines constrained in such a way that the deformation field is diffeomorphic. We then create a dense surface to surface correspondence using angle weighted normals and ray tracing. The implementation using a derivation of the inverse compositional algorithm for optimization of computational speed is described. The results are evaluated as a shape model showing the principal modes of variation.

Citation Download Citation

Sune Darkner, Martin Vester-Christensen, Rasmus R. Paulsen, and Rasmus Larsen "Non-rigid registration of 2D manifolds in 3D Euclidian space", Proc. SPIE 6914, Medical Imaging 2008: Image Processing, 69142R (19 March 2008); https://doi.org/10.1117/12.769794

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