Purdue University Purdue e-Pubs Department of Computer Science Technical Reports Department of Computer Science 1990 Unifying Parametric and Implicit Surface Representations for Computer Graphics: Parametric Surface Display and Algebraic Surface Fitting Changrajit L. Bajaj Report Number: 90-995 Bajaj, Changrajit L., "Unifying Parametric and Implicit Surface Representations for Computer Graphics: Parametric Surface Display and Algebraic Surface Fitting" (1990). Department of Computer Science Technical Reports. Paper 846. https://docs.lib.purdue.edu/cstech/846 This document has been made available through Purdue e-Pubs, a service of the Purdue University Libraries. Please contact
[email protected] for additional information. UNWYING PARAMETRIC AND IMPLICIT SURFACE REPRESENTATIONS FOR COMPUTER GRAPIDCS: PARAl\ffiTRIC SURFACE DISPLAY AND ALGEnRAIC SURFACEFI1TING Ch:lIldl"lljit L. ll11jllj CSD TR-995 July 1990 Unifying Parametric and Implicit Surface Representations for Computer Graphics: Parametric Surface Display and Algebraic Surface Fitting Chandcrjit Bajaf Department of Computer Science Purdue University West Lafayette, IN 47907 Abstract These are brief survey notes on recent progress in topics dealing with rational surface display aod surface fitting with piecewise algebraic surface patches. It is hoped thai the reader shall delve deeper into specific technical results, by tracking the numerous citations to references provided. Several pictures (unfortnnately grey scale images) are included to illustrate the results of certain algorithms. These notes arc part of a course to be taught at this year's Siggraph 1990. Slides of the course arc also included in the appendix. 'Supported in part by NSF granl D~lS 88-16286 and aNR conlrad NOOOH-88-K-0402 1 1 Introduction Rationality of the algebraic curve or surface is a.