COMPUTING NICE PROJECTIONS OF CONVEX POLYHEDRA-Reference-Cited by-同舟云学术

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COMPUTING NICE PROJECTIONS OF CONVEX POLYHEDRA

Published:2011-02 Issue:01 Volume:21 Page:71-85
ISSN:0218-1959
Container-title:International Journal of Computational Geometry & Applications
language:en
Short-container-title:Int. J. Comput. Geom. Appl.

Author:

ASHRAFUL ALAM MD.¹,HASAN MASUD²

Affiliation:

1. Department of Computer Science, University of Massachusetts Amherst, 140 Governor's Drive, Amherst, MA 01003, USA

2. Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology, Dhaka-1000, Bangladesh

Abstract

In an orthogonal projection of a convex polyhedron P, the visibility ratio of a face f (of an edge e) is the ratio of orthogonally projected area of f (length of e) and its actual area (length). In this paper, we give algorithms for nice projections of P such that the minimum visibility ratio among all visible faces (among all visible edges) is maximized.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021819591100355X

Reference13 articles.

1. Voronoi Diagrams**Partially supported by the Deutsche Forschungsgemeinschaft, grant K1 655 2-2.

2. Polygons in Three Dimensions

3. Drawing Nice Projections of Objects in Space

4. Introducing a new problem: Shape-from-silhouette when the relative positions of the viewpoints is unknown

5. Finding Optimal Shadows of Polytopes

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