Computational Geometry on Surfaces

Performing Computational Geometry on the Cylinder, the Sphere, the Torus, and the Cone

Clara I. Grima, Alberto Márquez (Autoren)

Buch | Softcover

192 Seiten

2010 | Softcover reprint of the original 1st ed. 2001
Springer (Verlag)
978-90-481-5908-6 (ISBN)

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In the last thirty years Computational Geometry has emerged as a new discipline from the field of design and analysis of algorithms. That dis cipline studies geometric problems from a computational point of view, and it has attracted enormous research interest. But that interest is mostly concerned with Euclidean Geometry (mainly the plane or Eu clidean 3-dimensional space). Of course, there are some important rea sons for this occurrence since the first applieations and the bases of all developments are in the plane or in 3-dimensional space. But, we can find also some exceptions, and so Voronoi diagrams on the sphere, cylin der, the cone, and the torus have been considered previously, and there are manY works on triangulations on the sphere and other surfaces. The exceptions mentioned in the last paragraph have appeared to try to answer some quest ions which arise in the growing list of areas in which the results of Computational Geometry are applicable, since, in practiee, many situations in those areas lead to problems of Com putational Geometry on surfaces (probably the sphere and the cylinder are the most common examples). We can mention here some specific areas in which these situations happen as engineering, computer aided design, manufacturing, geographie information systems, operations re search, roboties, computer graphics, solid modeling, etc.

1. Preliminaries.- 2. Euclidean Position.- 3. Convex Hull.- 4. Voronoi Diagrams.- 5. Radii.- 6. Visibility.- 7. Triangulations.- References.- Topic Index.- Author Index.

Zusatzinfo	XVI, 192 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Grafik / Design
	Mathematik / Informatik ► Informatik ► Software Entwicklung
	Informatik ► Theorie / Studium ► Algorithmen
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	90-481-5908-3 / 9048159083
ISBN-13	978-90-481-5908-6 / 9789048159086
Zustand	Neuware