Filtering by repeated integration
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
High performance computer imaging
High performance computer imaging
Two-Dimensional Digital Signal Processing II: Transforms and Median Filters
Two-Dimensional Digital Signal Processing II: Transforms and Median Filters
Fast bilateral filtering for the display of high-dynamic-range images
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Computing 2-D Min, Median, and Max Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Fast and scalable selection algorithms with applications to median filtering
IEEE Transactions on Parallel and Distributed Systems
High Dynamic Range Imaging: Acquisition, Display, and Image-Based Lighting (The Morgan Kaufmann Series in Computer Graphics)
Proceedings of the 5th international symposium on Non-photorealistic animation and rendering
Multiscale shape and detail enhancement from multi-light image collections
ACM SIGGRAPH 2007 papers
FastLSM: fast lattice shape matching for robust real-time deformation
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2007 papers
Real-time edge-aware image processing with the bilateral grid
ACM SIGGRAPH 2007 papers
Video watercolorization using bidirectional texture advection
ACM SIGGRAPH 2007 papers
A gentle introduction to bilateral filtering and its applications
ACM SIGGRAPH 2007 courses
Edge-preserving decompositions for multi-scale tone and detail manipulation
ACM SIGGRAPH 2008 papers
A gentle introduction to bilateral filtering and its applications
ACM SIGGRAPH 2008 classes
A virtual restoration stage for real-world objects
ACM SIGGRAPH Asia 2008 papers
A Fast Approximation of the Bilateral Filter Using a Signal Processing Approach
International Journal of Computer Vision
Gaussian KD-trees for fast high-dimensional filtering
ACM SIGGRAPH 2009 papers
EURASIP Journal on Advances in Signal Processing - Image processing and analysis in biomechanics
Interactive system for efficient video cartooning
MIRAGE'07 Proceedings of the 3rd international conference on Computer vision/computer graphics collaboration techniques
Smoothed local histogram filters
ACM SIGGRAPH 2010 papers
Geodesic image and video editing
ACM Transactions on Graphics (TOG)
Real-time spatiotemporal stereo matching using the dual-cross-bilateral grid
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Journal of Signal Processing Systems
Morphological bilateral filtering and spatially-variant adaptive structuring functions
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Image smoothing via L0 gradient minimization
Proceedings of the 2011 SIGGRAPH Asia Conference
Real-time spatial and depth upsampling for range data
Transactions on computational science XII
Statistical tuning of adaptive-weight depth map algorithm
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part II
Denoising time-of-flight data with adaptive total variation
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part I
Fast bilateral filter for HDR imaging
Journal of Visual Communication and Image Representation
A Low-Memory, Straightforward and Fast Bilateral Filter Through Subsampling in Spatial Domain
Computer Graphics Forum
Consistent stylization and painterly rendering of stereoscopic 3D images
NPAR '12 Proceedings of the Symposium on Non-Photorealistic Animation and Rendering
Gabor feature based nonlocal means filter for textured image denoising
Journal of Visual Communication and Image Representation
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part I
Bi-affinity filter: a bilateral type filter for color images
ECCV'10 Proceedings of the 11th European conference on Trends and Topics in Computer Vision - Volume Part II
Special Section on Expressive Graphics: Stereoscopic 3D image stylization
Computers and Graphics
Dynamics based 3D skeletal hand tracking
Proceedings of Graphics Interface 2013
2.5D extension of neighborhood filters for noise reduction in 3d medical CT images
Transactions on Computational Science XIX
Fast rank algorithms based on multiscale histograms and lazy calculations
Pattern Recognition and Image Analysis
Fast stereo matching using adaptive guided filtering
Image and Vision Computing
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Median filtering is a cornerstone of modern image processing and is used extensively in smoothing and de-noising applications. The fastest commercial implementations (e.g. in Adobe® Photoshop® CS2) exhibit O(r) runtime in the radius of the filter, which limits their usefulness in realtime or resolution-independent contexts. We introduce a CPU-based, vectorizable O(log r) algorithm for median filtering, to our knowledge the most efficient yet developed. Our algorithm extends to images of any bit-depth, and can also be adapted to perform bilateral filtering. On 8-bit data our median filter outperforms Photoshop's implementation by up to a factor of fifty.