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The problem of determining visibility locations (VLs) on/inside a domain bounded by a planar C1-continuous curve (without vertices), such that entire domain is covered, is discussed in this paper. The curved boundary has been used without being approximated into lines or polygons. Initially, a few observations regarding the VLs for a curved boundary have been made. It is proposed that the set of VLs...
In automotive domain, CAD models and its assemblies are validated for conformance to certain design requirements. Most of these design requirements can be modeled as geometric queries, such as distance to edge, planarity, gap, interference and parallelism. Traditionally these queries are made in discrete domain, such as a faceted model, inducing approximation. Thus, there is a need for modeling and...
Voronoi diagram (VD) is an extensively studied geometric entity since it has applications in fields such as computer graphics, computer vision, geometric modeling etc. In this paper, an algorithm for computing the VD of a set of planar freeform closed convex curves has been developed, without approximating the curves using points or lines. Algorithms for VD predominantly lie on computing the bisectors,...
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