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Title: surf version 1.0.1
Author: Stephan Endrass <endrass@mathematik.uni-mainz.de>
Abstract:
The aim was to have a tool to visualize some real algebraic geometry:
plane algebraic curves given as zero locus of a polynomial in two variables,
algebraic surfaces given as zero locus of a polynomial in three variables,
hyperplane sections of surfaces: algebraic space curves given as zero locus of
two polynomials in three variables: a polynomial of arbitrary degree
(the surface) and a linear polynomial (the hyperplane), and lines on surfaces
given by two points on a surface. The algorithms should be stable enough not to
be confused by curve/surface singularities in codimension greater than one and
the degree of the surface or curve. This has been achieved quite a bit. We have
drawn curves of degree up to 30 and surfaces of degree up to 20 successfully.
However, there are examples of curves/surfaces of lower degree where surf fails
to produce perfect images. This happens especially if the equation of the
curve/surface is not reduced. Best results are achieved using reduced equations.
On the other hand, surf displays the Fermat-curves accurately for degree up to 98.
Section: Science/Mathematics
Format: HTML
Index: /usr/share/doc/surf-alggeo-doc/surf-alggeo.html
Files: /usr/share/doc/surf-alggeo-doc/surf-alggeo.html
Format: PDF
Files: /usr/share/doc/surf-alggeo-doc/surf-alggeo.pdf
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