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Piecewise Union Blend with Adjustable Primitive’s Subsequent Blend Range Parameters in Constructive Geometry

Pi-Chung Hsu
Department of Information Management, Shu-Te University, Kaohsiung City, Taiwan
Abstract—In constructive geometry, implicit blends with blend range parameters are important in constructing a complex surface because they limit the blend surface within specified regions and deform primitive locally after blending. However, because they behave like Max or Min blend in non-blending regions, their primitives always have similar sizes of subsequent blend surfaces when used as a primitive in sequential blends. To solve this problem, this paper proposes union blends that provide each primitive an additional parameter to adjust a primitive’s subsequent blending range in later blends; thus, primitives are able to individually adjust the sizes of their subsequent blends by varying the values of the additional parameters. In addition, a generalized method is proposed to develop the proposed union blends with C1 continuity from an existing blend.
 
Index Terms—implicit surface, implicit blends, constructive geometry

Cite: Pi-Chung Hsu, "Piecewise Union Blend with Adjustable Primitive’s Subsequent Blend Range Parameters in Constructive Geometry," Lecture Notes on Information Theory, Vol. 5, No. 1, pp. 17-22 June 2017. doi: 10.18178/lnit.5.1.17-22
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