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Titlebook: Mathematics of Surfaces XIII; 13th IMA Internation Edwin R. Hancock,Ralph R. Martin,Malcolm A. Sabin Conference proceedings 2009 Springer-V

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Probabilistic Modeling and Visualization of the Flexibility in Morphable Models,how the feasibility of our approach we performed experiments on a statistical model of the human face and the femur bone. The visualization of the remaining flexibility allows for greater insight into the statistical properties of the shape.
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,The Invariant Functions of the Rational Bi-cubic Bézier Surfaces,continuous invariant functions and a discrete, sign-pattern, invariant exist for the bi-cubic surfaces. Explicit functional forms of the invariant functions for the bi-cubics are obtained. The results are viewed from the perspective of the Fundamental Theorem on invariants for Lie groups.
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Surface Triangulation and the Downstream Effects on Flattening,tle work has been focused on the downstream effects of triangulation. This paper investigates these effects on the application of surface flattening and demonstrates how subtle, but important changes in the triangulation can have a major impact on the flattening results.
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Crazy Cuts: Dissecting Planar Shapes into Two Identical Parts,l parts (up to rotation and translation). Clearly not all shapes can be so dissected and for some shapes that appear in puzzles the cutting curve is quite surprising and difficult to find. In this paper we first analyze the inverse problem of assembling planar shapes from two identical parts having
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