Abstract
We present a new method for constructing a parametric blending surface that smoothly connects two triangular meshes. A user selects a subregion on each triangular mesh. The local parameterizations of two selected regions are found by using geodesic polar coordinates, and a base surface on each triangular mesh is constructed by two boundary curves on parametric domain. Finally, two base surfaces are smoothly blended for generating a blending surface. The shape of a blending surface can easily be controlled by several shape parameters or by directly manipulating surface point. We demonstrate the effectiveness of our technique by showing several modeling examples.
Highlights
IntroductionSurface blending is a fundamental task in geometric modeling and computer-aided design
Surface blending is a fundamental task in geometric modeling and computer-aided design.It constructs a smooth transition between intersecting or disjoint surfaces
We present a simple and effective method for generating a parametric blending surface that smoothly joins the local regions of two triangular meshes
Summary
Surface blending is a fundamental task in geometric modeling and computer-aided design. It constructs a smooth transition between intersecting or disjoint surfaces. Most techniques have been mainly dealing with the blending of parametric surfaces or implicit surfaces, and the blending of polygonal meshes has been relatively neglected. Hartmann [1] introduced an effective method for blending parametric curves and surfaces. Let Γ1 (u, v) and Γ2 (u, v) be two parametric surfaces. This method constructs a G n parametric blending surface S(s, t) by a linear combination of two base surfaces S1 (s, t) and S2 (s, t), where S1 (s, t) and
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