Rough Surface Correction and Re-illumination Using the Modified Beckmann Model

摘要

In this paper we illustrate the use of the Beckmann model for surface analysis problem in computer vision. The Beckmann model is a physical model that describes the reflectance of light from rough surfaces. The parameter of the model is the surface slope, or ratio of the surface roughness to the correlation length. We show how this parameter may be estimated using pairs of surface images, subject to different illumination directions. With the parameter to hand, the Beckmann model may be used to perform photometric correction, and hence shape-from-shading may be applied to the rough surfaces. This model may also be used to re-illuminate the recovered surface. We present experiments to illustrate the utility of the method for each of these tasks.