IEEE Computer Graphics and Applications
Rendering antialiased shadows with depth maps
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
The aliasing problem in computer-generated shaded images
Communications of the ACM
The Structure of Locally Orderless Images
International Journal of Computer Vision
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
The A -buffer, an antialiased hidden surface method
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Channel Smoothing: Efficient Robust Smoothing of Low-Level Signal Features
IEEE Transactions on Pattern Analysis and Machine Intelligence
I3D '06 Proceedings of the 2006 symposium on Interactive 3D graphics and games
Frequency domain normal map filtering
ACM SIGGRAPH 2007 papers
Multiscale shape and detail enhancement from multi-light image collections
ACM SIGGRAPH 2007 papers
Capturing and viewing gigapixel images
ACM SIGGRAPH 2007 papers
Real-time edge-aware image processing with the bilateral grid
ACM SIGGRAPH 2007 papers
Filtering and Rendering of Resolution-Dependent Reflectance Models
IEEE Transactions on Visualization and Computer Graphics
Streaming multigrid for gradient-domain operations on large images
ACM SIGGRAPH 2008 papers
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Edge-avoiding wavelets and their applications
ACM SIGGRAPH 2009 papers
Smoothed local histogram filters
ACM SIGGRAPH 2010 papers
Interactive editing of massive imagery made simple: Turning Atlanta into Atlantis
ACM Transactions on Graphics (TOG)
Local Laplacian filters: edge-aware image processing with a Laplacian pyramid
ACM SIGGRAPH 2011 papers
A fast approximation of the bilateral filter using a signal processing approach
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
Matching pursuits with time-frequency dictionaries
IEEE Transactions on Signal Processing
Improving the quality of multi-resolution volume rendering
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Filtering color mapped textures and surfaces
Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games
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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.