DocumentCode
1073080
Title
Jim Blinn´s corner-how many different cubic curves are there?
Author
Blinn, James F.
Author_Institution
California Inst. of Technol., Pasadena, CA, USA
Volume
9
Issue
3
fYear
1989
fDate
5/1/1989 12:00:00 AM
Firstpage
78
Lastpage
83
Abstract
The author examines the meaning of the title question, noting that geometry can be described as the study of those properties of a shape that remain unchanged even if it is subjected to some transformation. He deals here with 2-D homogeneous coordinates, so the transformation is the standard homogeneous projective transformation representable by a 3*3 matrix. Any two shapes that can transform into each other using such a matrix are counted as the same shape. He then describes what he has determined so far and gives a list of questions he has that are unresolved.<>
Keywords
computational geometry; curve fitting; matrix algebra; transforms; 2-D homogeneous coordinates; computational geometry; cubic curves; homogeneous projective transformation; matrix algebra; Books; Differential equations; Eigenvalues and eigenfunctions; Geometry; Mirrors; Shape; Symmetric matrices; Transforms;
fLanguage
English
Journal_Title
Computer Graphics and Applications, IEEE
Publisher
ieee
ISSN
0272-1716
Type
jour
DOI
10.1109/38.28114
Filename
28114
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