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Free Form Shape Registration Using the Barrier Method

Authors: Zhi-Quan Cheng1, Wei Jiang1, Gang Dang1, Ralph R. Martin2, Jun Li1, Honghua Li1,  Yin Chen1, Yanzhen Wang1, Bao Li1, Kai Xu1, Shiyao Jin1

DOI: 10.1016/j.cviu.2010.06.005

Abstract:

We present an implicit approach for pair-wise non-rigid registration of moving and deforming objects. Shapes of interest are implicitly embedded in the 3D implicit vector space. In this implicit embedding space, registration is performed using a global-to-local framework. Firstly, a non-linear optimization functional defined on the vector distance function is used to find the global alignment between shapes. Secondly, an incremental cubic B-spline free form deformation is used to recover the non-rigid transformation parameters. Local non-rigid registration is posed in terms of minimising an energy functional, for which we give a closed-form linear system and solve it using an improved iterative Gauss-Seidel method. Our approach can consistently produce smooth and continuous registration fields, and correctly establish dense one-to-one correspondences. It can naturally deal with both open partial and closed shapes, and imperfect models with gaps and noise, through its use of the implicit vector representation. Experimental results on several datasets demonstrate the robustness of the proposed method.

Link to Paper

Authors

Prof. Ralph Martin

Prof. Ralph Martin

Polygon mesh processing including registration, noise removal, segmentation and surface fitting.