Boundary evaluation of scenes defined by quadrics
Identifieur interne : 002A52 ( Main/Exploration ); précédent : 002A51; suivant : 002A53Boundary evaluation of scenes defined by quadrics
Auteurs : Maria Pentcheva [France]Source :
Descripteurs français
English descriptors
Abstract
The objective of this thesis is to investigate the problem of boundary evaluation for scenes defined by quadrics. This algorithm consists of four steps : (i) the parameterization of every intersection curve between quadrics ; (ii) the calculation of the intersection points between such curves and the quadrics ; (iii) the determination, among the resulting arcs of curves of those that limit a face of the BRep model; (iv) the identification of the arcs that delimit a singe face, and their assembling into chains of arcs ; some faces might contain <>, and thus may be limited by several chains of arcs. The first two steps were solved using two algorithms from the litterature. The two remaining steps were solved by introducing new algorithms : VE (Visible Edges) and CA (Chains Assembling) respectively. Our algorithm of boundary evaluation is robust in the sense that all degenerate configurations are considered in the paradigm of exact geometric computing. Il solves entirely the problem for scenes defined by quadrics. Its time-complexity id $O(n^4)$ in the worst case, where $n$ is the number of quadrics. A partial implementation was developed and preliminary experimental results were obtained.
Url:
Affiliations:
- France
- Grand Est, Lorraine (région)
- Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université de Lorraine
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Le document en format XML
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Lorraine</orgName></affiliation></author></analytic></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>boundary evaluation</term><term>computational geometry</term><term>exact computation</term><term>quadric</term></keywords><keywords scheme="mix" xml:lang="fr"><term>calcul exact</term><term>conversion CSG-BRep</term><term>géométrie algorithmique</term><term>quadrique</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The objective of this thesis is to investigate the problem of boundary evaluation for scenes defined by quadrics. This algorithm consists of four steps : (i) the parameterization of every intersection curve between quadrics ; (ii) the calculation of the intersection points between such curves and the quadrics ; (iii) the determination, among the resulting arcs of curves of those that limit a face of the BRep model; (iv) the identification of the arcs that delimit a singe face, and their assembling into chains of arcs ; some faces might contain <>, and thus may be limited by several chains of arcs. The first two steps were solved using two algorithms from the litterature. The two remaining steps were solved by introducing new algorithms : VE (Visible Edges) and CA (Chains Assembling) respectively. Our algorithm of boundary evaluation is robust in the sense that all degenerate configurations are considered in the paradigm of exact geometric computing. Il solves entirely the problem for scenes defined by quadrics. Its time-complexity id $O(n^4)$ in the worst case, where $n$ is the number of quadrics. A partial implementation was developed and preliminary experimental results were obtained.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Nancy</li></settlement><orgName><li>Institut national polytechnique de Lorraine</li><li>Université Nancy 2</li><li>Université de Lorraine</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Pentcheva, Maria" sort="Pentcheva, Maria" uniqKey="Pentcheva M" first="Maria" last="Pentcheva">Maria Pentcheva</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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