Surface reconstruction from sparse fringe contours

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A new approach for reconstruction of 3D surfaces from 2D cross-sectional contours is presented. By using the so-called ''Equal Importance Criterion,'' we reconstruct the surface based on the assumption that every point in the region contributes equally to the surface reconstruction process. In this context, the problem is formulated in terms of a partial differential equation (PDE), and we show that the solution for dense contours can be efficiently derived from distance transform. In the case of sparse contours, we add a regularization term to insure smoothness in surface recovery. The proposed technique allows for surface recovery at any desired ... continued below

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Cong, G. & Parvin, B. August 10, 1998.

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A new approach for reconstruction of 3D surfaces from 2D cross-sectional contours is presented. By using the so-called ''Equal Importance Criterion,'' we reconstruct the surface based on the assumption that every point in the region contributes equally to the surface reconstruction process. In this context, the problem is formulated in terms of a partial differential equation (PDE), and we show that the solution for dense contours can be efficiently derived from distance transform. In the case of sparse contours, we add a regularization term to insure smoothness in surface recovery. The proposed technique allows for surface recovery at any desired resolution. The main advantage of the proposed method is that inherent problems due to correspondence, tiling, and branching are avoided. Furthermore, the computed high resolution surface is better represented for subsequent geometric analysis. We present results on both synthetic and real data.

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OSTI as DE00779708

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  • Fourth IEEE Workshop on Applications of Computer Vision, Princeton, NJ (US), 10/1998

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  • Report No.: LBNL--42163
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 779708
  • Archival Resource Key: ark:/67531/metadc720328

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  • August 10, 1998

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  • Sept. 29, 2015, 5:31 a.m.

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  • April 5, 2016, 5:09 p.m.

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Cong, G. & Parvin, B. Surface reconstruction from sparse fringe contours, article, August 10, 1998; California. (digital.library.unt.edu/ark:/67531/metadc720328/: accessed August 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.