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IMAMS
2003

Vector Transport for Shape-from-Shading

9 years 5 months ago
Vector Transport for Shape-from-Shading
In this paper we describe a new shape-from-shading method. We show how the parallel transport of surface normals can be used to impose curvature consistency and also to iteratively update surface normal directions so as to improve the brightness error. We commence by showing how to make local estimates of the Hessian matrix from surface normal information. With the local Hessian matrix to hand, we develop an “EM-like” algorithm for updating the surface normal directions. At each image location, parallel transport is applied to the neighbouring surface normals to generate a sample of local surface orientation predictions. From this sample, a local weighted estimate of the image brightness is made. The transported surface normal which gives the brightness prediction which is closest to this value is selected as the revised estimate of surface orientation. The revised surface normals obtained in this way may in turn be used to re-estimate the Hessian matrix, and the process iterated ...
Fabio Sartori, Edwin R. Hancock
Added 31 Oct 2010
Updated 31 Oct 2010
Type Conference
Year 2003
Where IMAMS
Authors Fabio Sartori, Edwin R. Hancock
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