Campus Event Calendar
Event Entry
What and Who
Visualization of Points and Segments of Algebraic Curves in EXACUS
Pavel Emiliyanenko
IMPRS
Talk
AG 1, AG 2, AG 3, AG 4, AG 5, SWS
MPI Audience
English
Note: We use this to send email in the morning.
Date, Time and Location
Wednesday, 18 October 2006
13:00
60 Minutes
E1 4
024
Saarbrücken
Contact
IMPRS Office
9325 225
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"We present the algorithm for visualizing segments of real algebraic curves
given in implicit form f(x,y) = 0.
A curve segment is a distinct curve branch consisting of regular points
only. The main difficulty in visualisation of implicit curves is that the
curves can be multiply connected, often having self-intersections and
isolated points. Visualization of curve segments involves even more
difficulties since here we confront with a problem of discriminating
different curve branches, which can pass infinitely close to each other.
Our approach combines the advantages both of curve tracking and
space subdivision methods and is able to correctly rasterize segments of
arbitrary-degree algebraic curves with double or exact arithmetic."
Kerstin Meyer-Ross, 10/11/2006 14:52
Jennifer Gerling, 10/06/2006 10:40
Friederike Gerndt, 10/05/2006 14:35 -- Created document.
Jennifer Gerling, 10/06/2006 10:40
Friederike Gerndt, 10/05/2006 14:35 -- Created document.