A practical and robust method to compute the boundary of three-dimensional axis-aligned boxes

View/Open
Document typeResearch report
Defense date2013
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial
property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public
communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
The union of axis-aligned boxes results in a constrained structure that is advantageous for solving certain geometrical problems. A widely used scheme for solid modelling systems is the boundary representation (Brep). We present a method to obtain the B-rep of a union of axis-aligned boxes. Our method computes all boundary vertices, and additional information for each vertex that allows us to apply already existing methods to extract the B-rep. It is based on dividing the three-dimensional problem into two-dimensional boundary computations and combining their results. The method can deal with all geometrical degeneracies that may arise. Experimental results prove that our approach outperforms existing general methods, both in efficiency and robustness.
CitationLópez, D., Martínez, J., Vigo, M., Pla, N. "A practical and robust method to compute the boundary of three-dimensional axis-aligned boxes". 2013.
Is part ofLSI-13-13-R
Files | Description | Size | Format | View |
---|---|---|---|---|
R13-13.pdf | 2,770Mb | View/Open |