Sparse PDF maps for non-linear multi-resolution image operations

Markus Hadwiger, Ronell Barrera Sicat, Johanna Beyer, Jens J. Krüger, Torsten Möller

Research output: Chapter in Book/Report/Conference proceedingConference contribution

13 Scopus citations

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. © 2012 ACM.
Original languageEnglish (US)
Title of host publicationACM Transactions on Graphics
PublisherAssociation for Computing Machinery (ACM)
Pages1
DOIs
StatePublished - Nov 1 2012

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

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