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Summary: An Algebraic Approach to Surface Reconstruction from Gradient Fields
Amit Agrawal, Rama Chellappa
Center for Automation Research
University of Maryland
College Park, MD 20742 USA
(aagrawal,rama)@cfar.umd.edu
Ramesh Raskar
Mitsubishi Electric Research Labs
201 Broadway
Cambridge, MA 02139 USA
raskar@merl.com
Abstract
Several important problems in computer vision such as
Shape from Shading (SFS) and Photometric Stereo (PS) re-
quire reconstructing a surface from an estimated gradient
field, which is usually non-integrable, i.e. have non-zero
curl. We propose a purely algebraic approach to enforce
integrability in discrete domain. We first show that enforc-
ing integrability can be formulated as solving a single lin-
ear system Ax = b over the image. In general, this system
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