|Author||Requicha, Aristides A. G. ♦ Lee, Yong Tsui|
|Source||ACM Digital Library|
|Publisher||Association for Computing Machinery (ACM)|
|Subject Keyword||Ray casting ♦ Numerical integration ♦ Geometric modeling ♦ Constructive solid ♦ Programmable automation ♦ Mass properties ♦ Cellular decompositions ♦ Subdivision ♦ Monte carlo methods ♦ Moments of inertia ♦ Constructive solid geometry ♦ Octrees ♦ Cad/cam ♦ Representation conversion ♦ Recursive ♦ Set membership classification|
|Abstract||This paper discusses a family of algorithms for computing the volume, moments of inertia, and other integral properties of geometrically complex solids, e.g. typical mechanical parts. The algorithms produce approximate decompositions of solids into cuboid cells whose integral properties are easy to compute.The paper focuses on versions of the algorithms which operate on solids represented by Constructive Solid Geometry (CSG), i.e., as set-theoretical combinations of primitive solid “building blocks.” Two known algorithms are summarized and a new algorithm is presented. The efficiencies and accuracies of the three algorithms are analyzed theoretically and compared experimentally.The new algorithm uses recursive subdivision to convert CSG representations of complex solids into approximate cellular decompositions based on variably sized blocks. Experimental data show that the new algorithm is efficient and has predictable accuracy. It also has other potential applications, e.g., in producing approximate octree representations of complex solids and in robot navigation.|
|Description||Affiliation: Univ. of Rochester, Rochester, NY (Lee, Yong Tsui; Requicha, Aristides A. G.)|
|Age Range||18 to 22 years ♦ above 22 year|
|Education Level||UG and PG|
|Learning Resource Type||Article|
|Publisher Place||New York|
|Journal||Communications of the ACM (CACM)|
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