Title :
Boolean operations implementation over 3D parametric surfaces to be included in the geometrical module of an electromagnetic solver
Author :
Tayebi, A. ; Pérez, J. Gómez ; Diego, I. González ; Cátedra, F.
Author_Institution :
Comput. Sci. Dept., Univ. of Alcala, Alcala de Henares, Spain
Abstract :
This work presents the implementation of Boolean operations such as the intersection and subtraction of closed or open of bodies defined by NURBS. The developed code is able to process any arbitrary structure with small geometrical details. Normally, commercial solvers provide resulting objects composed by flat facets (rectangles or triangles) as a result of the Boolean operation. Thus, the result of the Boolean operation does not fit accurately the shape of the original objects. Our implementation is able to give accurate trimmed surfaces that perfectly fit the real shape of the original objects since the Boolean function provides a structure formed by several curved surfaces. The proposed approach is explained and some examples are shown to validate the performance of the code.
Keywords :
Boolean functions; CAD; computational electromagnetics; computational geometry; computer graphics; 3D parametric surfaces; Boolean function; Boolean operation implementation; NURBS; accurate trimmed surface; curved surface; electromagnetic solver; flat facet; geometrical module; Computational modeling; Shape; Spline; Surface fitting; Surface reconstruction; Surface topography; Surface treatment; Boolean functions; computational geometry; electromagnetics; surface fitting;
Conference_Titel :
Antennas and Propagation (EUCAP), Proceedings of the 5th European Conference on
Conference_Location :
Rome
Print_ISBN :
978-1-4577-0250-1