Blending Basic Implicit Shapes Using Trivariate Box Splines
نویسندگان
چکیده
To blend be~ween simple implicit surfaces, such as the sphere, the cone, the cylinder and the torus, we propose La locally employ the zero set of a serendipitous trivariate box spline. This box spline is defined by seven directions that form a regular partition of space into tetrahedra. The resulting blend surface is curvature continuous. An approxlmateparametrization of the piecewise implicit surface of degree four is obtained by subdivision and sign comparison. Blending basic implicit shapes using trivariate box splines
منابع مشابه
Smooth Blending of Basic Surfaces Using Trivariate Box Splines
To blend between basic implicitly deened CSG surfaces we propose to use the zero set of a spline in three variables. The resulting blend surface is generically curvature continuous, of algebraic degree four independent of the number of surfaces joined, and supports both point classiication and eecient rendering. A detailed exposition of the 2D analogue blend construction is given.
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