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Summary: What is the Range of Surface Reconstructions from a
Gradient Field?
Amit Agrawal1
, Ramesh Raskar2
, and Rama Chellappa1
1
Center for Automation Research, University of Maryland
College Park, MD, USA 20742
{aagrawal,rama}@cfar.umd.edu
2
Mitsubishi Electric Research Labs (MERL)
201 Broadway, Cambridge, MA, USA 02139
{raskar}@merl.com
Abstract. We propose a generalized equation to represent a continuum of sur-
face reconstruction solutions of a given non-integrable gradient field. We show
that common approaches such as Poisson solver and Frankot-Chellappa algo-
rithm are special cases of this generalized equation. For a N × N pixel grid, the
subspace of all integrable gradient fields is of dimension N2
- 1. Our frame-
work can be applied to derive a range of meaningful surface reconstructions from
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