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Optical Engineering

Fast surface approximation for volume and surface area measurements using distance transform
Author(s): Dah-Jye Lee; Joseph D. Eifert; Pengcheng Zhan; Benjamin P. Westover
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Paper Abstract

The laser triangulation technique has been widely used to obtain three-dimensional (3-D) information because of its accuracy. It is a fast, noncontact method for 3-D measurement. However, 3-D data obtained from triangulation are not dense and usually not complete for surface reconstruction, especially for objects with irregular shapes. As the result of fitting surfaces with these sparse 3-D data, inaccuracy in measuring object surface area and volume is inevitable. Accurate surface reconstruction from incomplete 3-D data points becomes an important step toward accurate noncontact surface area and volume measurements of objects moving at high speed. A novel computer vision technique combining laser triangulation and a distance transform is developed to improve the 3-D measurement accuracy for objects with irregular shapes. The 2-D object image boundary points combined with the 3-D data obtained from laser triangulation are used to generate a 3-D wire frame. The distances from each pixel within the object boundary to its nearest boundary point are then used as the constraints for surface approximation. With this additional information from the distance transform, more accurate surface approximation can be achieved. This novel surface approximation technique is implemented and the measurement accuracy is compared with the accuracy using other surface interpolation techniques for the volume measurement of moving objects.

Paper Details

Date Published: 1 October 2003
PDF: 9 pages
Opt. Eng. 42(10) doi: 10.1117/1.1605737
Published in: Optical Engineering Volume 42, Issue 10
Show Author Affiliations
Dah-Jye Lee, Brigham Young Univ. (United States)
Joseph D. Eifert, Virginia Polytechnic Institute and State Univ. (United States)
Pengcheng Zhan, Brigham Young Univ. (United States)
Benjamin P. Westover, Brigham Young Univ. (United States)

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