【SIGGRAPH Asia 2012专题*技术论文】点和向量：通过优化运输的蓝噪声

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【SIGGRAPH Asia 2012专题*技术论文】
点和向量：通过优化运输的蓝噪声Blue Noise through Optimal Transport
Fernando de Goes, Katherine Breeden, Victor Ostromoukhov, Mathieu Des***n Abstract：We present a fast, scalable algorithm to generate high-quality blue noise point distributions of arbitrary density functions. At its core is a novel formulation of the recently-introduced concept of capacity-constrained Voronoi tessellation as an optimal transport problem.This insight leads to a continuous formulation able to enforce the capacity constraints exactly, unlike previous work. We exploit the variational nature of this formulation to design an efficient optimization technique of point distributions via constrained minimization in the space of power diagrams. Our mathematical, algorithmic, and practical contributions lead to high-quality blue noise point sets with improved spectral and spatial properties.
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