Abstract
A method of blending circular quadrics with parametric patches is proposed in this paper. It needs n rational bi-cubic Bézier patches and two S-patches to blend n (n > 2) quadrics. Bi-cubic rational Bézier patches are used to G 1-continuously blend each pair of adjacent base surfaces. These patches enclose two n-sided holes. And an S-patch is used to fill each hole, which keeps nearly G 1-continuity. Explicit formulas of control points for both Bézier patches and S-patches are derived from their constraint conditions, which make modeling by blending quadrics very simple and convenient. In addition, the shapes of the blending surfaces can be intuitively adjusted by free parameters.
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Fang, M., Wang, G. & Ma, W. N-way blending problem of circular quadrics. Sci. China Inf. Sci. 53, 1546–1554 (2010). https://doi.org/10.1007/s11432-010-4031-8
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DOI: https://doi.org/10.1007/s11432-010-4031-8