Combining edges and points for interactive high-quality rendering. The Numerical Solution of Integral Equations of the Second Kind. A framework for the analysis of error in global illumination algorithms. Fast and detailed approximate global illumination by irradiance decomposition. We demonstrate the power of the new basis in a novel precomputed direct-to-indirect light transport algorithm that greatly increases the complexity of scenes that can be handled by PRT approaches. Due to its hierarchical nature, our representation adapts to the complexity of the illumination, and can be queried at different scales. We present simple data structures and algorithms for constructing and evaluating the basis functions. It is decoupled from the geometric representation, allowing the hierarchical representation of illumination on complex objects. We introduce a hierarchical function basis induced by scattered data approximation. Hierarchical bases like wavelets lead to dramatic acceleration, but in their basic form they work well only on flat or smooth surfaces. Non-hierarchical approaches such as per-vertex values are simple to implement, but lead to long precomputation. Precomputed radiance transfer (PRT) and finite elements require a discrete representation of illumination over the scene. We introduce a meshless hierarchical representation for solving light transport problems.
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