Bias Correction in Photometric Stereo using Control Points

I. Horovitz N. Kiryati

To appear at Vision, Modelling and Visualization (VMV01), Stuttgart, Germany, November 21 - 23, 2001


Abstract

Photometric stereo is capable of high quality reconstruction of fine shape details. It is however prone to bias, caused by systematic error build-up, due to imperfections in the light sources or in their calibration. We explore possibilities of correcting the bias, using sparse control points of known 3D location. Control points can easily be obtained via triangulation, either by projecting a laser pattern or by adding a camera and registering a small number of landmarks. Previous mathematical approaches to the incorporation of control points as constraints in the computation of shape from normal directions lead to inadequate results. We propose two methods for bias correction using control points. One is based on constrained weighted-least squares extension to shape from needle-diagram computation. The other adds an interpolation surface to the reconstructed shape. Experimental results demonstrate significant bias reduction, allowing high reconstruction quality even in the presence of severe setup calibration errors.


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