Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Discrimination thresholds for channel-coded systems
Biological Cybernetics
International Journal of Computer Vision
SUSAN—A New Approach to Low Level Image Processing
International Journal of Computer Vision
Probabilistic interpretation of population codes
Neural Computation
Uniform Distribution, Distance and Expectation Problems for Geometric Features Processing
Journal of Mathematical Imaging and Vision
International Journal of Computer Vision
Mean Shift: A Robust Approach Toward Feature Space Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Neural Networks for Pattern Recognition
Neural Networks for Pattern Recognition
Signal Processing for Computer Vision
Signal Processing for Computer Vision
Orthonormal Vector Sets Regularization with PDE's and Applications
International Journal of Computer Vision
Numerical Methods for p-Harmonic Flows and Applications to Image Processing
SIAM Journal on Numerical Analysis
Mean Shift, Mode Seeking, and Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
AFPAC '00 Proceedings of the Second International Workshop on Algebraic Frames for the Perception-Action Cycle
A Review of Nonlinear Diffusion Filtering
SCALE-SPACE '97 Proceedings of the First International Conference on Scale-Space Theory in Computer Vision
Non-Linear Gaussian Filters Performing Edge Preserving Diffusion
Mustererkennung 1995, 17. DAGM-Symposium
A New Extension of Linear Signal Processing for Estimating Local Properties and Detecting Features
Mustererkennung 2000, 22. DAGM-Symposium
Mean Shift Analysis and Applications
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
Correspondences between wavelet shrinkage and nonlinear diffusion
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
IEEE Transactions on Signal Processing
A general framework for low level vision
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Interpreting translation-invariant wavelet shrinkage as a new image smoothing scale space
IEEE Transactions on Image Processing
International Journal of Computer Vision
Real-time edge-aware image processing with the bilateral grid
ACM SIGGRAPH 2007 papers
A gentle introduction to bilateral filtering and its applications
ACM SIGGRAPH 2007 courses
On the Relation between Anisotropic Diffusion and Iterated Adaptive Filtering
Proceedings of the 30th DAGM symposium on Pattern Recognition
A Fast Approximation of the Bilateral Filter Using a Signal Processing Approach
International Journal of Computer Vision
Continuous dimensionality characterization of image structures
Image and Vision Computing
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Exploratory learning structures in artificial cognitive systems
Image and Vision Computing
Simultaneously learning to recognize and control a low-cost robotic arm
Image and Vision Computing
Problem solving through imitation
Image and Vision Computing
Crossing-Preserving Coherence-Enhancing Diffusion on Invertible Orientation Scores
International Journal of Computer Vision
Learning Higher-Order Markov Models for Object Tracking in Image Sequences
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part II
Accurate interpolation in appearance-based pose estimation
SCIA'07 Proceedings of the 15th Scandinavian conference on Image analysis
Real-time visual recognition of objects and scenes using P-channel matching
SCIA'07 Proceedings of the 15th Scandinavian conference on Image analysis
Smoothed local histogram filters
ACM SIGGRAPH 2010 papers
Geodesic image and video editing
ACM Transactions on Graphics (TOG)
Incremental computation of feature hierarchies
Proceedings of the 32nd DAGM conference on Pattern recognition
Channel coding for joint colour and depth segmentation
DAGM'11 Proceedings of the 33rd international conference on Pattern recognition
Diffusion-Like reconstruction schemes from linear data models
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
The edge preserving wiener filter for scalar and tensor valued images
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
Efficient image/video retexturing using parallel bilateral grids
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Wiener channel smoothing: robust wiener filtering of images
PR'05 Proceedings of the 27th DAGM conference on Pattern Recognition
Sparse PDF maps for non-linear multi-resolution image operations
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
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In this paper, we present a new and efficient method to implement robust smoothing of low-level signal features: B-spline channel smoothing. This method consists of three steps: encoding of the signal features into channels, averaging of the channels, and decoding of the channels. We show that linear smoothing of channels is equivalent to robust smoothing of the signal features if we make use of quadratic B-splines to generate the channels. The linear decoding from B-spline channels allows the derivation of a robust error norm, which is very similar to Tukey's biweight error norm. We compare channel smoothing with three other robust smoothing techniques: nonlinear diffusion, bilateral filtering, and mean-shift filtering, both theoretically and on a 2D orientation-data smoothing task. Channel smoothing is found to be superior in four respects: It has a lower computational complexity, it is easy to implement, it chooses the global minimum error instead of the nearest local minimum, and it can also be used on nonlinear spaces, such as orientation space.