Memory Analysis of Solid Model Representations for Heterogeneous Objects

[+] Author and Article Information
T. R. Jackson

The Charles Stark Draper Laboratory, 555 Technology Square, MS 93, Cambridge, MA 02139e-mail: tjackson@draper.com

W. Cho, N. M. Patrikalakis, E. M. Sachs

Massachusetts Institute of Technology, Massachusetts Avenue, Room 5-424, Cambridge, MA 02139

J. Comput. Inf. Sci. Eng 2(1), 1-10 (Jun 05, 2002) (10 pages) doi:10.1115/1.1476380 History: Received August 01, 2001; Revised March 01, 2002; Online June 05, 2002
Copyright © 2002 by ASME
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The Model Space represented by state-of-the-art solid modeling systems subdivides as Build Space into a model’s interior and exterior with materials associated to regions
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The Model Space for objects consisting of graded material spans both the Build Space (X) and a Material Space (M) in which the material variations are defined. To define an FGM object, each point in the Build Space (x in X) must map to a composition in the Material Space (m(x) in M).
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The maximum distance between the intended object’s boundary and the modeled boundary is the geometric accuracy (εg) of the modeled object
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Visual interpretation of material accuracy, showing the difference between the desired m*(x) and the modeled composition m(x0) at the point x0 in Build Space
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Steps of the information flow for FGM model processing
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Relationships between classes for various modeling representations for FGM objects: (a) voxel, (b) triangulated boundary representation, (c) finite-element mesh, (d) Radial-Edge, and (e) Cell-Tuple-Graph
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Two examples of derived FGMDomains: FGMRationalBézierCurve and FGMRationalBézierTetrahedron
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(a) Initial compositions of block and the selection of the desired faces from which the composition will be graded; (b) Desired grading from the selected feature
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(a) Wireframe view of block decomposed into FGMDomains; (b) Exploded view of three dimensional FGMDomains, colored according to their degrees of geometric and material variations
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Graph of storage cost for representing a block (with composition graded from the boundary of a cavity) as a function of geometric accuracy
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Graph of storage cost for representing a block (with composition graded from the boundary of a cavity) as a function of material accuracy




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