Ray Shooting, Depth Orders and Hidden Surface Removal

1993
ISBN: 978-3-540-57020-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 703, 210 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 341 g

Reihe: Lecture Notes in Computer Science

Computational geometry is the part of theoretical computer
science that concerns itself with geometrical objects; it
aims to define efficient algorithms for problems involving
points, lines, polygons, and so on. The field has gained
popularity very rapidly during the last decade. This is
partly due to the many application areas of computational
geometry and partly due to the beauty of the field itself.
This monograph focuses on three problems that arise in
three-dimensional computational geometry. The first problem
is the ray shooting problem: preprocess a set of polyhedra
into a data structure such that the first polyhedron that is
hit by a query ray can be determined quickly. The second
problem is that of computing depth orders: we want to sort a
set of polyhedra such thatif one polyhedron is (partially)
obscured by another polyhedron then it comes first in the
order. The third problem is the hidden surface removal
problem: given a set of polyhedra and a view point, compute
which parts of the polyhedra are visible from the view
point. These three problems involve issues that are
fundamental to three-dimensional computational geometry.
The book also contains a large introductory part discussing
the techniques used to tackle the problems. This part should
interest not only those who need the background for the rest
of the book but also anyone who wants to know more about
some recent techniques in computational geometry.

Zielgruppe

Research

Autoren/Hrsg.

Berg, Mark De

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Signalverarbeitung, Bildverarbeitung, Scanning
• Mathematik | Informatik EDV | Informatik Informatik Bildsignalverarbeitung
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung
• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Spiele-Programmierung, Rendering, Animation
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Grafikprogrammierung

Inhaltsverzeichnis

Computational geometry and computer graphics.- Preliminaries.- A general strategy.- Ray shooting from a fixed point.- Ray shooting into a fixed direction.- Ray shooting with arbitrary rays.- Conclusions.- Depth orders in the plane.- Depth orders in three dimensions.- Conclusions.- Non-intersecting polyhedra.- Intersecting polyhedra.- Dynamization.- Conclusions.