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Publication Type	Technical report
School or College	College of Engineering
Department	Computing, School of
Creator	Blinn, James F. (James Frederick), 1949-
Title	Computer display of curved surfaces
Date	1978
Description	Abstract: This thesis attacks the problem of generating computer synthesized images both more rapidly and more realistically. Increase in speed is achieved by a scan line based algorithm for drawing pictures of parametrically defined curved surfaces. Computation time is reduced by requiring calculation at only a few visually important points along a scan line, and by interpolating intensities between them. The realism is increased by use of shading functions based on semi-empirical models of how light actually reflects off of real surfaces. Other enhancements involve simulation of surface roughness and irregularities by applying perturbations to the properties of the surface as a function of the value of the defining parameters.
Type	Text
Publisher	University of Utah
Subject	computer images; computation time; surfaces
Subject LCSH	Curves--Computer simulation; Surfaces--Computer simulation; Computer-aided design; Computer graphics--Research; Three-dimensional imaging--Research; Computer drawing
Language	eng
Series	University of Utah Computer Science Technical Report
Relation is Part of	ARPANET
Format Medium	application/pdf
Format Extent	204,635,212 bytes
File Name	Blinn-Compiler_Display_Of.pdf
Conversion Specifications	Original scanned with Kirtas 2400 and saved as 400 ppi uncompressed TIFF. PDF generated by LIMB™ for CONTENTdm display
ARK	ark:/87278/s60p3k68
Setname	ir_computersa
ID	105596
Reference URL	https://collections.lib.utah.edu/ark:/87278/s60p3k68

Page Metadata

Title	Page 26
Setname	ir_computersa
ID	105446
OCR Text	Show 19 the coefficient a .. k 1 . ]. , J,. ' It can be shown that the homogeneous algebrajc form of a surface transforms as a contra-variant tensor of rank n. First order: 'Vj i M. j a a ]. Second order: 'Vij kl Mk i Ml j a a -I etc. where M = T Where, in this case, subscripts represent covariant indices and superscripts represent contravariant indices. General Parametric Surfaces ------- ---------- For general parametric surfaces, each coordinate definition function has the form X(u,v) I i+j􁪽􋵮n Transformation of the parameteric form is based on the point transformation expression: where Clij=xij c2ij=Yij etc. Properties Qf Bivariate Functions A major part of this thesis concerns itself with drawing surfaces defined parametrically. For scan line algorithms this involves intersecting the Y definition function by the current scan plane. We are there􁪽􋵯ore interested in the properties which this function may have.
Reference URL	https://collections.lib.utah.edu/ark:/87278/s60p3k68/105446