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Clipping using homogeneous coordinates

Blinn, James F. and Newell, Martin E. (1978) Clipping using homogeneous coordinates. ACM SIGGRAPH Computer Graphics, 12 (3). pp. 245-251. ISSN 0097-8930. https://resolver.caltech.edu/CaltechAUTHORS:20160615-154430633

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Abstract

Clipping is the process of determining how much of a given line segment lies within the boundaries of the display screen. Homogeneous coordinates are a convenient mathematical device for representing and transforming objects. The space represented by homogeneous coordinates is not, however, a simple Euclidean 3-space. It is, in fact, analagous to a topological shape called a “projective plane”. The clipping problem is usually solved without consideration for the differences between Euclidean space and the space represented by homogeneous coordinates. For some constructions, this leads to errors in picture generation which show up as lines marked invisible when they should be visible. This paper will examine these cases and present techniques for correctly clipping the line segments.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1145/965139.807398DOIArticle
http://dl.acm.org/citation.cfm?doid=965139.807398PublisherArticle
Additional Information:© 1978 ACM.
Issue or Number:3
Record Number:CaltechAUTHORS:20160615-154430633
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160615-154430633
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67949
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:15 Jun 2016 23:26
Last Modified:03 Oct 2019 10:10

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