A symbolic-numerical approach to approximate parameterizations of space curves using graphs of critical points

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F13%3A43916221" target="_blank" >RIV/49777513:23520/13:43916221 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.cam.2012.10.015" target="_blank" >http://dx.doi.org/10.1016/j.cam.2012.10.015</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2012.10.015" target="_blank" >10.1016/j.cam.2012.10.015</a>

Result language
angličtina
Original language name
A symbolic-numerical approach to approximate parameterizations of space curves using graphs of critical points
Original language description
A simple algorithm for computing an approximate parameterization of real space algebraic curves using their graphs of critical points is designed and studied in this paper. The first step is determining a suitable space graph which contains all criticalpoints of a real algebraic space curve C implicitly defined as the complete intersection of two surfaces. The construction of this graph is based on one projection of C in a general position onto an xy-plane and on an intentional choice of vertices. Thesecond part of the designed method is a computation of a spline curve which replaces the edges of the constructed graph by segments of a chosen free-form curve. This step is formulated as an optimization problem when the objective function approximates the integral of the squared Euclidean distance of the constructed approximate curve to the intersection curve. The presented method, based on combining symbolic and numerical steps to the approximation problem, provides approximate paramet
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - New Technologies for Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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