An Eigenvector Method for Surface Recovery

Robles-Kelly, A.; Hancock, E.R.

An Eigenvector Method for Surface Recovery

Files

05_camsfs.pdf (1.92 MB)

Date

2003

Authors

Robles-Kelly, A.
Hancock, E.R.

Publisher

The Eurographics Association

Abstract

In this paper we explore how spectral methods for graph seriation can be used to develop a new shape-fromshading algorithm. We characterise the field of surface normals using a transition matrix whose elements are computed from the sectional curvature between different image locations. We use a graph seriation method to define a curvature minimising surface integration path for the purposes of height reconstruction. To smooth the reconstructed surface, we fit quadric patches to the height data. The smoothed surface normal directions are updated ensuring compliance with Lambert's law. The processes of height recovery and surface normal adjustment are interleaved and iterated until a stable surface is obtained. We provide results on synthetic and real-world imagery.

        @inproceedings{10.2312:vvg.20031005
,
booktitle = {Vision, Video, and Graphics (VVG) 2003
},
editor = {Peter Hall and Philip Willis
},
title = {{An Eigenvector Method for Surface Recovery
}},
author = {Robles-Kelly, A. and 
Hancock, E.R.
},
year = {2003
},
publisher = {The Eurographics Association
},
ISBN = {3-905673-54-1
},
DOI = {10.2312/vvg.20031005
}
}