Título:
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On the interpolation of normal vectors for triangle meshes
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Autor/a:
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Ubach Fuentes, Pere-Andreu; Estruch Tena, Carlos; García Espinosa, Julio
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Otros autores:
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Universitat Politècnica de Catalunya. Departament de Ciència i Enginyeria Nàutiques; Universitat Politècnica de Catalunya. TRANSMAR - Grup de recerca de transport marítim i logística portuària |
Abstract:
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This paper analyzes the problem arising from the need to assign information about the normal vectors to the surface at the nodes of a mesh of triangles. Meshes of triangles do not have normals uniquely defined at the nodes. A widely used technique to compute the normal direction at any given node is to compute the weighted average of the normals of each surrounding triangle.
The present study proposes new weighting factors to compute the normal directions at the nodes of the mesh of triangles of a general surface. Previous weights found in the literature used the geometric dimensions
of the triangles themselves to design the weighting factors. The new factors are proposed using the triangles’ circumscribed circles dimensions. The new weights provide superior results than the ones obtained by
previous best practices for a wide range of surfaces. An advanced framework based on the approachability of smooth surfaces by quadrics is presented and used. This framework helps to understand the improved performance of the presented factors with respect to other factors found in the literature. A comprehensive numerical comparison analysis is performed, and the
most precise of all factors is clearly identified. |
Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics -Interpolation. -Approximate normal to a surface
averaging normal vectors
Geometric modeling
Normal interpolation
Triangle meshes
Weighting factors -Interpolació (Matemàtica) -Simulació, Mètodes de -- Models matemàtics -Models geomètrics -- Disseny assistit per ordinador |
Derechos:
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Tipo de documento:
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Artículo - Versión publicada Artículo |
Editor:
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John Wiley & Sons
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Compartir:
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