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Nice Perspective Projections

✍ Scribed by F. Gómez; F. Hurtado; J.A. Sellarès; G. Toussaint

Book ID
102614471
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
111 KB
Volume
12
Category
Article
ISSN
1047-3203

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✦ Synopsis

A polyhedral object in three-dimensional space is often well represented by a set of points and line segments that act as its features. By a nice perspective projection of an object we mean a projection that gives an image in which the features of the object, relevant for some task, are visible without ambiguity. In this paper we consider the problem of computing a variety of nice perspective projections of three-dimensional objects such as simple polygonal chains, wire-frame drawings of graphs, and geometric rooted trees. These problems arise in areas such as computer vision, computer graphics, graph drawing, knot theory, and computational geometry.

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✍ Prosenjit Bose; Francisco Gómez; Pedro Ramos; Godfried Toussaint 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 212 KB

Given a polygonal object (simple polygon, geometric graph, wire-frame, skeleton or more generally a set of line segments) in three-dimensional Euclidean space, we consider the problem of computing a variety of "nice" parallel (orthographic) projections of the object. We show that given a general pol