【SIGGRAPH Asia 2012专题*技术论文】图像操作：稀疏的非线性多分辨率图像操作地图

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Sparse PDF Maps for Non-Linear Multi-Resolution Image Operations

Markus Hadwiger, Ronell Sicat, Johanna Beyer, Jens Krüger, Torsten Möller



摘要：介绍了一种新型的多分辨率图像金字塔的高分辨率图像称为稀疏的地图（spdf-maps）。每个棱锥级包括一个稀疏编码的连续概率密度函数（PDF）邻域的原始图像。编码PDF使精确计算的非线性图像操作直接在任何锥水平适当的预fi滤波反走样，没有获得较高或较低的决议。稀疏的spdf-maps使他们可行的gigapixel图像，同时使直接评价的各种非线性算子从相同的表示。我们说明了这种多功能抗锯齿色彩映射，fi局部拉普拉斯滤波器平滑滤波器，局部直方图fi（例如，中位数或模式fi滤波器），和双边fi滤波器。



Abstract：We introduce a new type of multi-resolution image pyramid for high-resolution images called sparse pdf maps (sPDF-maps). Each pyramid level consists of a sparse encoding of continuous probability density functions (pdfs) of pixel neighborhoods in the original image.The encoded pdfs enable the accurate computation of non-linear image operations directly in any pyramid level with proper pre-filtering for anti-aliasing, without accessing higher or lower resolutions. The sparsity of sPDF-maps makes them feasible for gigapixel images,while enabling direct evaluation of a variety of non-linear operators from the same representation. We illustrate this versatility for antialiased color mapping, O(n) local Laplacian filters, smoothed local histogram filters (e.g., median or mode filters), and bilateral filters.



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