Light field modelling and interpolation using Kriging techniques

This paper describes the application of Kriging techniques to the interpolation of light field models that include both three-dimensional spatial variation as well as angular directional information. In general illumination applications, this representation of the light field raises the challenges of high-dimensionality and anisotropic estimation. Discrete sampling of the light field based on simulation or physical measurements is not sufficient to support analysis and design studies. In this paper, Kriging techniques, which are widely used in spatial estimation, are introduced to address these problems. The principle of universal Kriging with dynamic trend is presented and incorporates the method of correction for negative Kriging weights. The results of this approach are described for a five-dimensional light field based on examples using both ray-tracing simulation as well as physical measurements in an experimental room with colour-controlled LED illumination sources. Using the weight-corrected universal Kriging technique, the overall light field in space is estimated and details may be explored by interpolation at specified positions and viewing angles. The proposed method provides a consistent and computationally convenient approach to analysis and design of the five-dimensional light field in space.

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