Accession Number : ADA587537


Title :   Volumetric T-spline Construction Using Boolean Operations


Corporate Author : TEXAS UNIV AT AUSTIN INST FOR COMPUTATIONAL ENGINEERING AND SCIENCES


Personal Author(s) : Liu, L ; Zhang, Y ; T J Hughes, ; Scott, M A ; Sederberg, T W


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a587537.pdf


Report Date : Jul 2013


Pagination or Media Count : 20


Abstract : In this paper, we present a novel algorithm for constructing a volumetric T-spline from B-reps inspired by Constructive Solid Geometry (CSG) Boolean operations. By solving a harmonic field with proper boundary conditions, the input surface is automatically decomposed into regions that are classified into two groups represented, topologically, by either a cube or a torus. We perform two Boolean operations (union and difference) with the primitives and convert them into polycubes through parametric mapping. With these polycubes, octree subdivision is carried out to obtain a volumetric T-mesh, and sharp features detected from the input model are also preserved. An optimization is then performed to improve the quality of the volumetric T-spline. Finally we extract trivariate Bezier elements from the volumetric T-spline, and use them directly in isogeometric analysis.


Descriptors :   *BOOLEAN ALGEBRA , ALGORITHMS , BOUNDARIES , GEOMETRY , VOLUME


Subject Categories : Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE