A Caltech Library Service

Ray tracing parametric patches

Kajiya, James T. (1982) Ray tracing parametric patches. ACM SIGGRAPH Computer Graphics, 16 (3). pp. 245-254. ISSN 0097-8930. doi:10.1145/800064.801287.

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item:


This paper describes an algorithm that uses ray tracing techniques to display bivariate polynomial surface patches. A new intersection algorithm is developed which uses ideas from algebraic geometry to obtain a numerical procedure for finding the intersection of a ray and a patch without subdivision. The algorithm may use complex coordinates for the (u, v)-parameters of the patches. The choice of these coordinates makes the computations more uniform, so that there are fewer special cases to be considered. In particular, the appearance and disappearance of silhouette edges can be handled quite naturally. The uniformity of these techniques may be suitable for implementation on either a general purpose pipelined machine, or on special purpose hardware.

Item Type:Article
Related URLs:
URLURL TypeDescription ItemTechnical Report
Additional Information:© 1982 ACM.
Subject Keywords:computer graphics, raster graphics, ray tracing, parametric patches
Issue or Number:3
Classification Code:CR CATEGORIES: 1.3.3, 1.3.5, 1.3.7
Record Number:CaltechAUTHORS:20161108-151316149
Persistent URL:
Official Citation:James T. Kajiya. 1982. Ray tracing parametric patches. SIGGRAPH Comput. Graph. 16, 3 (July 1982), 245-254. DOI=
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71830
Deposited On:09 Nov 2016 00:14
Last Modified:11 Nov 2021 04:51

Repository Staff Only: item control page