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

作者：Hadwiger Markus^*; Sicat Ronell; Beyer Johanna; Krueger Jens; Moeller Torsten

来源：ACM Transactions on Graphics, 2012, 31(6): 133.

DOI：10.1145/2366145.2366152

• image pyramids
• mipmapping
• anti-aliasing
• multi-resolution filtering
• display-aware filtering
• smoothed local histogram filtering
• bilateral filtering
• local Laplacian filtering

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.

• 出版日期2012-11