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Research Papers

Engineering-Oriented Geometry Methods for Modeling and Analyzing Scanned Data

[+] Author and Article Information
Anath Fischer

Faculty of Mechanical Engineering Technion, Haifa, Israel e-mail: meranath@technion.ac.il

J. Comput. Inf. Sci. Eng 11(2), 021002 (Jun 14, 2011) (10 pages) doi:10.1115/1.3593415 History: Received February 15, 2011; Revised April 13, 2011; Published June 14, 2011; Online June 14, 2011

The emerging field of Engineering Oriented Geometry (EOG) comprises new and extended geometric modeling methods that are directly related to the shared inherent engineering attributes of design, analysis, and manufacturing. This paper describes EOG methods that can be applied to scanned data, focusing on two main sub-areas: (a) shape reconstruction from scanned data; and (b) geometric modeling for analysis. The paper describes the main developments in geometric shape reconstruction methods for scanned data and in geometric modeling for analysis. In the field of geometric reconstruction efficient algorithms have been developed to cope with the open engineering problem of reconstruction from large scale, noisy, and incomplete data. Taken together, these solutions provide a comprehensive methodology that is fundamental to advancing the field of shape reconstruction. They constitute a new EOG model philosophy that can be implemented in CAD engineering for further processing, such as design, analysis, and manufacturing. Integrating CAD and multiscale analysis into one module creates a new paradigm that affects both fields and had the potential to lead to new areas of mechanical analysis.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

HSDM and 3D GBF filter implemented on diverse data

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Figure 2

Mechanical parts—the scanned points and reconstructed objects with 3D GBF

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Figure 3

Partition of unity implicit surfaces: (a) polynomial fitting to 3321 points sampled from a torus; (b) polynomial fitting to 3721 points sampled from an ellipsoid; (c) and (d) implicit surfaces produced by blending the local approximations

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Figure 4

The 3-genus object: (a) initial grid 25 × 25 × 25 (shown 1752 voxels which contain a portion of the isosurface); (b) after 100 relaxation iterations (2450 voxels); and (c) mesh extracted from the adaptive grid (2374 faces)

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Figure 5

(a) Genus-8 object with resulting longitudes (marked on loop inner circles) and meridians (marked on loop circumference); (b) Genus-2 objects and the associated topological graph

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Figure 6

Bagel with three holes: (a) the object with generators; (b) the parameterization surface lifted stretched in the Z direction; and (c) the resulting texture mapping

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Figure 7

Topological remeshing: (a) original mesh with pair of generators; and (b) the object is remeshed by quads

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Figure 8

Results of the MGNG method for the following models: (a) figure eight shape; (b) cylindrical part; (c) Grayloc; and (d) Cogwheel

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Figure 9

View-dependent presentation of multiscale mechanical analysis, where colors represent the stress intensity

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Figure 10

Micromechanical analysis of (a) the synthesized microstructure and (b) the symmetric scaffold

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Figure 11

3D reconstruction of a fracture surface from images: (a) the base image and (b) the 3D mesh with texture

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Figure 12

Hierarchical image data structure: image-based multiscale representation of fracture surface. Dashed window depicts the selected ROI.

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