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Shape from Shading Using Discrete Polynomials

Bora, PK and Venkatesh, YV and Ramakrishnan, KR (1990) Shape from Shading Using Discrete Polynomials. In: ACE '90 (XVI Annual Convention and Exhibition of the IEEE In India), 22-25 January, Bangalore,India, pp. 260-264.

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Abstract

Given a monocular image, we propose a new method for extracting the shape of objectsfrom the pixel intensities. The problem of solving the partial differential equation corresponding to the reflectance map is reduced to that of solving a finite set of nonlinear algebraic equations. The method involves patchwise approximation of the surfaces in the scene by discrete polynomials. Distinctive features of the method are as follows: a) Shape extraction without initial depth information of any form, (b) Handling of discontinuity (obtained by a zero-crossing operator) by splitting the region into multiple patches around the discontinuities contour and fitting the depth polynomial separately in each patch, (c) Algebraic evaluation of the quadratic polynomial coefficients in the case of identical source and viewer direction, and (d) Facility to integrate stereo information.

Item Type: Conference Paper
Additional Information: Copyright 1990 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 30 May 2006
Last Modified: 19 Sep 2010 04:27
URI: http://eprints.iisc.ernet.in/id/eprint/6939

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