The USC Andrew and Erna Viterbi School of Engineering USC Signal and Image Processing Institute USC Ming Hsieh Department of Electrical Engineering University of Southern California

Technical Report USC-SIPI-260

“Shape from Photometric Ratio and Stereo”

by Kyong Mu Lee and C.-C. Jay Kuo

June 1994

We propose a new scheme to integrate the two important depth information sources, i.e. shading and stereo, in a single framework in this research. By using the ratio of two photometric stereo images, we first derive a new constraint on the local surface structure so that no albedo information is needed for shape reconstruction. Then, by employing perspective projection on a parametric surface model, we establish a unified geometrical framework for the integration of shading and stereo. The depth map is directly recovered by minimizing a cost functional which consists of a weighted sum of shading and stereo error terms. Simulation results are given to show the performance of our new robust algorithm.

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