Relighting with the Reflected Irradiance Field: Representation, Sampling and Reconstruction Zhouchen Lin , Tien-Tsin Wong and Heung Yeung Shum , International Journal of Computer Vision, Vol. 49, No. 2-3, September-October 2002, pp. 229-246. (This is the extended version of our paper published in CVPR 2001)

Abstract

Image-based relighting (IBL) is a technique to change the illumination of an image-based object/scene. In this paper, we define a representation called the reflected irradiance field which records the light reflected from a scene as viewed at a fixed viewpoint as a result of moving a point light source on a plane. It synthesizes a novel image under a different illumination by interpolating and superimposing appropriate recorded samples. Furthermore, we study the minimum sampling problem of the reflected irradiance field, i.e., how many light source positions are needed. We find that there exists a geometry-independent bound for the sampling interval whenever the second-order derivatives of the surface BRDF and the minimum depth of the scene are bounded. This bound ensures that when the novel light source is on the plane, the error in the reconstructed image is controlled by a given tolerance, regardless of the geometry. We also analyze the bound of depth error so that the extra reconstruction error can also be governed when the novel light source is off-plane. Experiments on both synthetic and real surfaces are conducted to verify our analysis.

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Related Publication

1. " Relighting with the Reflected Irradiance Field: Representation, Sampling and Reconstruction",
   Z. Lin, T. T. Wong and H. Y. Shum,
   in Proceedings of IEEE Computer Vision and Pattern Recognition 2001 (CVPR 2001), Vol. I, Hawaii, December 2001, pp. 561-567.