We present an implementation of deformable models to approximate 3-D surface. It is an extension of our previous work on " B-snakes" [2], which approximate curves using B-splines. The user provides an initial simple surface, such as a cylinder or a plane, which is subject to internal forces (describing implicit continuity properties such as tension and bending) and external forces which attracts it toward features. The problem is cast in terms of energy minimization, and is solved iteratively. Our choice of basis functions leads to reasonable complexity and good numerical stability. We show results on real range images to illustrate the applicability of our approach. The advantages of this approach are that it provides a compact representation of the approximated data, it gives a C1 continuous (for quadratic spline) analytical description of the data, which allows computation of differential properties, and lends itself to applications such as non-rigid motion tracking and object recognition.
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