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Title: Converting Boundary Representation Solid Models to Half-Space Representation Models for Monte Carlo Analysis

Abstract

Solid modeling computer software systems provide for the design of three-dimensional solid models used in the design and analysis of physical components. The current state-of-the-art in solid modeling representation uses a boundary representation format in which geometry and topology are used to form three-dimensional boundaries of the solid. The geometry representation used in these systems is cubic B-spline curves and surfaces--a network of cubic B-spline functions in three-dimensional Cartesian coordinate space. Many Monte Carlo codes, however, use a geometry representation in which geometry units are specified by intersections and unions of half-spaces. This paper describes an algorithm for converting from a boundary representation to a half-space representation.

Authors:
Publication Date:
Research Org.:
Knolls Atomic Power Laboratory (KAPL), Niskayuna, NY
Sponsoring Org.:
USDOE
OSTI Identifier:
903197
Report Number(s):
LM-07K010
TRN: US200719%%639
DOE Contract Number:  
DE-AC12-00SN39357
Resource Type:
Conference
Resource Relation:
Conference: Joint International Topical Meeting on Mathematics & Computation and Supercomputing in Nuclear Applications, Monterey, CA, April 15-19, 2007
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; ALGORITHMS; CARTESIAN COORDINATES; COMPUTERS; DESIGN; GEOMETRY; SIMULATION; TOPOLOGY

Citation Formats

Davis JE, Eddy MJ, Sutton TM, Altomari TJ. Converting Boundary Representation Solid Models to Half-Space Representation Models for Monte Carlo Analysis. United States: N. p., 2007. Web.
Davis JE, Eddy MJ, Sutton TM, Altomari TJ. Converting Boundary Representation Solid Models to Half-Space Representation Models for Monte Carlo Analysis. United States.
Davis JE, Eddy MJ, Sutton TM, Altomari TJ. Thu . "Converting Boundary Representation Solid Models to Half-Space Representation Models for Monte Carlo Analysis". United States. https://www.osti.gov/servlets/purl/903197.
@article{osti_903197,
title = {Converting Boundary Representation Solid Models to Half-Space Representation Models for Monte Carlo Analysis},
author = {Davis JE, Eddy MJ, Sutton TM, Altomari TJ},
abstractNote = {Solid modeling computer software systems provide for the design of three-dimensional solid models used in the design and analysis of physical components. The current state-of-the-art in solid modeling representation uses a boundary representation format in which geometry and topology are used to form three-dimensional boundaries of the solid. The geometry representation used in these systems is cubic B-spline curves and surfaces--a network of cubic B-spline functions in three-dimensional Cartesian coordinate space. Many Monte Carlo codes, however, use a geometry representation in which geometry units are specified by intersections and unions of half-spaces. This paper describes an algorithm for converting from a boundary representation to a half-space representation.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2007},
month = {3}
}

Conference:
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