In this work, we developed a method which effectively uses subdivision surfaces to fit deformable models to noisy 3–D data. The subdivision models provide a compact low dimensional representation of model parameter space. They also allow a free form deformation of the objects of arbitrary geometry. These two properties make them ideal for fitting deformable models to noisy data. We tested our a...

The objective of this paper is to introduce a general procedure for deriving interpolatory surface subdivision schemes with “symmetric subdivision templates” (SSTs) for regular vertices. While the precise definition of “symmetry” will be clarified in the paper, the property of SSTs is instrumental to facilitate application of the standard procedure for finding symmetric weights for taking weigh...

Properties of a parametric curve in R 3 are often determined by analysis of its piecewise linear (PL) approximation. For Bézier curves, there are standard algorithms, known as subdivision, that recursively create PL curves that converge to the curve in distance. The exterior angles of PL curves under subdivision are shown to converge to 0 at the rate of O(1 2 i), where i is the number of subdiv...