Title :
Jim Blinn´s corner-how many different cubic curves are there?
Author_Institution :
California Inst. of Technol., Pasadena, CA, USA
fDate :
5/1/1989 12:00:00 AM
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;
Journal_Title :
Computer Graphics and Applications, IEEE
