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Shape Reconstruction (shape + reconstruction)

Distribution by Scientific Domains
Engineering60%

Selected Abstracts

Provably Good 2D Shape Reconstruction from Unorganized Cross-Sections

COMPUTER GRAPHICS FORUM, Issue 5 2008
Pooran Memari
Abstract This paper deals with the reconstruction of 2-dimensional geometric shapes from unorganized 1-dimensional cross-sections. We study the problem in its full generality following the approach of Boissonnat and Memari [BM07] for the analogous 3D problem. We propose a new variant of this method and provide sampling conditions to guarantee that the output of the algorithm has the same topology as the original object and is close to it (for the Hausdorff distance). [source]

Shape reconstruction of an inverse boundary value problem of two-dimensional Navier,Stokes equations

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 6 2010
Wenjing Yan
Abstract This paper is concerned with the problem of the shape reconstruction of two-dimensional flows governed by the Navier,Stokes equations. Our objective is to derive a regularized Gauss,Newton method using the corresponding operator equation in which the unknown is the geometric domain. The theoretical foundation for the Gauss,Newton method is given by establishing the differentiability of the initial boundary value problem with respect to the boundary curve in the sense of a domain derivative. The numerical examples show that our theory is useful for practical purpose and the proposed algorithm is feasible. Copyright © 2009 John Wiley & Sons, Ltd. [source]

The singular sources method for cracks

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 10 2007
Morteza Fotouhi
Abstract The singular sources method is given to detect the shape of a thin infinitely cylindrical obstacle from a knowledge of the TM-polarized scattered electromagnetic field in large distance. The basic idea is based on the singular behaviour of the scattered field of the incident point source on the cross-section of the cylinder. We assume that the scatterer is a perfect conductor which is possibly coated by a material and investigate two models with different boundary conditions. Also we give a uniqueness proof for the shape reconstruction. Copyright © 2006 John Wiley & Sons, Ltd. [source]

Single-shot all-optical sampling oscilloscope using a polarization-maintaining resonator for pulse replication

MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, Issue 11 2010
j Komanec
Abstract An all-optical single-shot sampling oscilloscope with a picosecond resolution is developed. An innovative approach for data pulse replication using a polarization-maintaining resonator is used. Pulses are sampled in a highly nonlinear fiber. Acquired data are used for pulse shape reconstruction. Proposed setup eliminates the need of a delay line. © 2010 Wiley Periodicals, Inc. Microwave Opt Technol Lett 52:2452,2456, 2010; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.25509 [source]