A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Geometry of Differential Operators with Application to Image Processing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Performance of optical flow techniques
International Journal of Computer Vision
Watershed of a continuous function
Signal Processing - Special issue on mathematical morphology and its applications to signal processing
The computation of optical flow
ACM Computing Surveys (CSUR)
The robust estimation of multiple motions: parametric and piecewise-smooth flow fields
Computer Vision and Image Understanding
An introduction to the mathematical theory of inverse problems
An introduction to the mathematical theory of inverse problems
Applied numerical linear algebra
Applied numerical linear algebra
International Journal of Computer Vision
Robust Optical Flow Computation Based on Least-Median-of-Squares Regression
International Journal of Computer Vision
Image interpolation and resampling
Handbook of medical imaging
Variational Optic Flow Computation with a Spatio-Temporal Smoothness Constraint
Journal of Mathematical Imaging and Vision
Edge Direction Preserving Image Zooming: A Mathematical and Numerical Analysis
SIAM Journal on Numerical Analysis
Example-Based Super-Resolution
IEEE Computer Graphics and Applications
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
A Probabilistic Approach to Optical Flow based Super-Resolution
CVPRW '04 Proceedings of the 2004 Conference on Computer Vision and Pattern Recognition Workshop (CVPRW'04) Volume 12 - Volume 12
Inverse Problem Theory and Methods for Model Parameter Estimation
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Efficient Hodge-Helmholtz decomposition of motion fields
Pattern Recognition Letters - Special issue: Advances in pattern recognition
On the Spatial Statistics of Optical Flow
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
Efficient Minimization Methods of Mixed l2-l1 and l1-l1 Norms for Image Restoration
SIAM Journal on Scientific Computing
Highly Accurate Optic Flow Computation with Theoretically Justified Warping
International Journal of Computer Vision
Optic flow estimation by support vector regression
Engineering Applications of Artificial Intelligence
Coarse to over-fine optical flow estimation
Pattern Recognition
Edge-preserving image resizing using modified B-splines
ICASSP '01 Proceedings of the Acoustics, Speech, and Signal Processing, 2001. on IEEE International Conference - Volume 03
Image restoration from a downsampled image by using the DCT
Signal Processing
Reverse Optical Flow for Self-Supervised Adaptive Autonomous Robot Navigation
International Journal of Computer Vision
Super-resolution for synthetic zooming
EURASIP Journal on Applied Signal Processing
Simultaneous Higher-Order Optical Flow Estimation and Decomposition
SIAM Journal on Scientific Computing
Non-linear fourth-order image interpolation for subpixel edge detection and localization
Image and Vision Computing
Determining the regularization parameters for super-resolution problems
Signal Processing
Fast Optimization Methods for L1 Regularization: A Comparative Study and Two New Approaches
ECML '07 Proceedings of the 18th European conference on Machine Learning
Image Super-Resolution by TV-Regularization and Bregman Iteration
Journal of Scientific Computing
Bayesian Methods for Image Super-Resolution
The Computer Journal
Some First-Order Algorithms for Total Variation Based Image Restoration
Journal of Mathematical Imaging and Vision
L1 regularized super-resolution from unregistered omnidirectional images
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Resolution enhancement based on learning the sparse association of image patches
Pattern Recognition Letters
Efficient minimization method for a generalized total variation functional
IEEE Transactions on Image Processing
Cardiac video analysis using Hodge-Helmholtz field decomposition
Computers in Biology and Medicine
Two Step Variational Method for Subpixel Optical Flow Computation
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part II
Analysis of multiframe super-resolution reconstruction for image anti-aliasing and deblurring
Image and Vision Computing
A duality based approach for realtime TV-L1 optical flow
Proceedings of the 29th DAGM conference on Pattern recognition
A duality based algorithm for TV-L¹-optical-flow image registration
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Decomposition and construction of neighbourhood operations using linear algebra
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Direct super-resolution and registration using raw CFA images
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Applications of the discrete hodge helmholtz decomposition to image and video processing
PReMI'05 Proceedings of the First international conference on Pattern Recognition and Machine Intelligence
-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation
IEEE Transactions on Signal Processing
Interpolation and the discrete Papoulis-Gerchberg algorithm
IEEE Transactions on Signal Processing
Demosaicing: image reconstruction from color CCD samples
IEEE Transactions on Image Processing
New edge-directed interpolation
IEEE Transactions on Image Processing
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The motion fields in an image sequence observed by a car-mounted imaging system depend on the positions in the imaging plane. Since the motion displacements in the regions close to the camera centre are small, for accurate optical flow computation in this region, we are required to use super-resolution of optical flow fields. We develop an algorithm for super-resolution optical flow computation. Super-resolution of images is a technique for recovering a high-resolution image from a low-resolution image and/or image sequence. Optical flow is the appearance motion of points on the image. Therefore, super-resolution optical flow computation yields the appearance motion of each point on the high-resolution image from a sequence of low-resolution images. We combine variational super-resolution and variational optical flow computation in super-resolution optical flow computation. Our method directly computes the gradient and spatial difference of high-resolution images from those of low-resolution images, without computing any high-resolution images used as intermediate data for the computation of optical flow vectors of the high-resolution image.