![]() We show constructions for producing setback vertex blends with conic boundaries and patchworks defined by control polyhedra. Implicit multi-sided patches are primarily used for connecting simple implicit surfaces, such as planes, cylinders, spheres etc., however, I-patches are also capable of modeling complex free-form shapes. , this paper elaborates the basic formulation in more detail, and introduces several interesting features, including a distance-based surface interpretation, consistent orientation of the primaries, setting shape parameters, and handling various special cases. Following the publication of Várady et al. Similarly to functional splines, each boundary curve of the patch is defined as the intersection of a primary and a bounding surface, both given in implicit form, and the patch can connect to the primaries with arbitrary geometric continuity. I-patches represent a family of implicit multi-sided surfaces.
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