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Summary: Specular Surface Reconstruction from Sparse Reflection Correspondences
Aswin C. Sankaranarayanan
, Ashok Veeraraghavan
, Oncel Tuzel
and Amit Agrawal
Rice University, Houston, TX
Mitsubishi Electric Research Labs, Cambridge, MA
Abstract
We present a practical approach for surface reconstruc-
tion of smooth mirror-like objects using sparse reflection
correspondences (RCs). Assuming finite object motion with
a fixed camera and un-calibrated environment, we derive
the relationship between RC and the surface shape. We
show that by locally modeling the surface as a quadric, the
relationship between the RCs and unknown surface param-
eters becomes linear. We develop a simple surface recon-
struction algorithm that amounts to solving either an eigen-
value problem or a second order cone program (SOCP).
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