The Design and Use of Steerable Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recursive Filters for Optical Flow
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Intrinsic Structure of Optic Flow Incorporating Measurement Duality
International Journal of Computer Vision
Affine Invariant Texture Segmentation and Shape from Texture by Variational Methods
Journal of Mathematical Imaging and Vision
Scale-Space Theory in Computer Vision
Scale-Space Theory in Computer Vision
Spatiotemporally Adaptive Estimation and Segmenation of OF-Fields
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Scale-Space with Casual Time Direction
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Linear Spatio-Temporal Scale-Space
SCALE-SPACE '97 Proceedings of the First International Conference on Scale-Space Theory in Computer Vision
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
A representation for visual information with application to machine vision
A representation for visual information with application to machine vision
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
A morphological, affine, and Galilean invariant scale-space for movies
IEEE Transactions on Image Processing
Fingerprint enhancement by shape adaptation of scale-space operators with automatic scale selection
IEEE Transactions on Image Processing
International Journal of Computer Vision
Foundations and Trends® in Computer Graphics and Vision
Local velocity-adapted motion events for spatio-temporal recognition
Computer Vision and Image Understanding
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Journal of Mathematical Imaging and Vision
Local descriptors for spatio-temporal recognition
SCVMA'04 Proceedings of the First international conference on Spatial Coherence for Visual Motion Analysis
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This paper presents a theory for constructing and computing velocity-adapted scale-space filters for spatio-temporal image data. Starting from basic criteria in terms of time-causality, time-recursivity, locality and adaptivity with respect to motion estimates, a family of spatio-temporal recursive filters is proposed and analysed. An important property of the proposed family of smoothing kernels is that the spatio-temporal covariance matrices of the discrete kernels obey similar transformation properties under Galilean transformations as for continuous smoothing kernels on continuous domains. Moreover, the proposed theory provides an efficient way to compute and generate nonseparable scale-space representations without need for explicit external warping mechanisms or keeping extended temporal buffers of the past. The approach can thus be seen as a natural extension of recursive scale-space filters from pure temporal data to spatio-temporal domains.