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A generalization of algebraic surface drawing

Blinn, James F. (1982) A generalization of algebraic surface drawing. ACM SIGGRAPH Computer Graphics, 16 (3). p. 273. ISSN 0097-8930.

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The mathematical description of three dimensional surfaces usually falls in one of two classifications: parametric and algebraic. The form is defined as all points which satisfy some equation: F(x,y,z)=0. This form is ideally suited for image space shaded picture drawing, the pixel coordinates are substituted for x and y and the equation is solved for z. Algorithms for drawing such objects have been developed primarily for first and second order polynomial functions. This paper presents a new algorithm applicable to other functional forms, in particular to the summation of several gaussian density distributions. The algorithm was created to model electron density maps of molecular structures but can be used for other artistically interesting shapes.

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Additional Information:© 1982 ACM. This paper has been selected for publication in the July 1982 issue of Transactions on Graphics.
Issue or Number:3
Record Number:CaltechAUTHORS:20160615-113148009
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67941
Deposited By: Kristin Buxton
Deposited On:15 Jun 2016 19:54
Last Modified:03 Oct 2019 10:10

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