C 1 Modeling with A - patches from
نویسندگان
چکیده
We approximate a manifold triangulation in IR 3 using smooth implicit algebraic surface patches, which we call A-patches. Here each A-patch is a real iso-contour of a trivariate rational function deened within a tetrahedron. The rational trivari-ate function provides increased degrees of freedom so that the number of surface patches needed for free-form shape modeling is signiicantly reduced compared to earlier similar approaches. Furthermore, the surface patches have quadratic precision , that is they exactly recover quadratic surfaces. We give conditions under which a C 1 smooth and single sheeted surface patch is isolated from the multiple sheets.
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