By the same authors

Vector transport for shape-from-shading

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JournalMATHEMATICS OF SURFACES, PROCEEDINGS
DatePublished - 2003
Volume2768
Number of pages21
Pages (from-to)142-162
Original languageEnglish

Abstract

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 and the process is iterated until stability is reached. We experiment with the method on a variety of real world and synthetic data.

    Research areas

  • VISCOSITY SOLUTIONS, 3-D IMAGES, SET

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