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Medial surfaces are well‐known and interesting surface skeletons. As such, they can describe the topology and the geometry of a 3D closed object. The link between an object and its medial surface is also intuitively understood by people. We want to exploit such skeletons to use them in applications like shape creation and shape deformation. For this purpose, we need to define medial surfaces as Shape...
A surface can be represented mainly using two mathematical models by using either a parametric equation or an implicit equation. The intuitive use and facility to represent just a part of surface make the first type, known as parametric, very popular, especially in industrial applications (Bezier, B-Splines, NURBS). The second type of surface, known as implicit, is employed in applications of ray...
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