Fuzzy Vector Median-Based Surface Smoothing
IEEE Transactions on Visualization and Computer Graphics
A fast impulsive noise color image filter using fuzzy metrics
Real-Time Imaging - Special issue on multi-dimensional image processing
Median and related local filters for tensor-valued images
Signal Processing
Histogram-based fuzzy colour filter for image restoration
Image and Vision Computing
Fuzzy Directional-Distance Vector Filter
WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
An intelligent image agent based on soft-computing techniques for color image processing
Expert Systems with Applications: An International Journal
Multiplier-less and table-less linear approximation for square and square-root
ICCD'09 Proceedings of the 2009 IEEE international conference on Computer design
Fast implementation of vector directional filters
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
On Euclidean norm approximations
Pattern Recognition
Document image analysis: issues, comparison of methods and remaining problems
Artificial Intelligence Review
A new vector median filter based on fuzzy metrics
ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition
Matrix-valued filters as convex programs
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Comments on "On approximating Euclidean metrics by weighted t-cost distances in arbitrary dimension"
Pattern Recognition Letters
Hyperspheres of weighted distances in arbitrary dimension
Pattern Recognition Letters
Linear combination of norms in improving approximation of Euclidean norm
Pattern Recognition Letters
Linear combination of weighted t-cost and chamfering weighted distances
Pattern Recognition Letters
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For reducing impulsive noise without degrading image contours, median filtering is a powerful tool. In multiband images, as for example color images or vector fields obtained by optic flow computation, a vector median filter can be used. Vector median filters are defined on the basis of a suitable distance, the best performing distance being the Euclidean. Euclidean distance is evaluated by using the Euclidean norm which is quite demanding from the point of view of computation given that a square root is required. In this paper an optimal piece-wise linear approximation of the Euclidean norm is presented which is applied to vector median filtering