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Graduate Thesis of José Olivencia

Olivencia, JoséProgramPhD in Applied Sciences with mention in Mathematical Engineering, Universidad de Concepción
Enrollment Year1997
Senior Year2004
Thesis TitleOptimization of Surface Intersection Algorithms

Thesis Summary:

In general, there is no exact representation of the intersection of two surfaces, which can be decomposed into one or more components. Therefore, only the approximating methods are able to provide the calculation of the intersection. Since the intersection is approximate, it contains an error. The calculation of the intersection should be done as accurately as possible in border evaluation, one of the most important problems in solid modeling. Manufacturing applications make it necessary to specify an error tolerance so that the deviation of the approximation from the actual intersection is always maintained within the specified tolerance. Notwithstanding these needs, no methods capable of controlling are known.

Thesis Director(s) Luis Quiroz
Thesis Project Approval Date1999, August 16
Thesis Defense Date2004, January 07
Professional MonitoringJanuary 2004 to date: reincorporated as Assistant Professor, Departamento de Matematica, Universidad Nacional de Trujillo, Trujillo, Peru.
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No-ISI Publications from the Thesis

José OLIVENCIA, Luis QUIROZ: Error control of cubic interpolation for the intersection of free-form parametric surfaces. Revista Internacional de Metodos Numericos en Ingenieria, vol. 19, 1, pp. 19-32, (2003)

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