Representation of local geometry in the visual system
Biological Cybernetics
On Advances in Statistical Modeling of Natural Images
Journal of Mathematical Imaging and Vision
The Second Order Local-Image-Structure Solid
IEEE Transactions on Pattern Analysis and Machine Intelligence
Guessing Tangents in Normal Flows
Journal of Mathematical Imaging and Vision
Properties of Brownian image models in scale-space
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Generic maximum likely scale selection
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
A scale invariant covariance structure on jet space
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
Maximum likely scale estimation
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
Spectral representation of fractional Brownian motion in n dimensions and its properties
IEEE Transactions on Information Theory
Guessing Tangents in Normal Flows
Journal of Mathematical Imaging and Vision
Special Issue on Tribute Workshop for Peter Johansen
Journal of Mathematical Imaging and Vision
Jet-Based local image descriptors
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part III
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The second-order structure of random images f :驴 d 驴驴 N is studied under the assumption of stationarity of increments, isotropy and scale invariance. Scale invariance is defined via linear scale space theory. The results are formulated in terms of the covariance structure of the jet consisting of the scale space derivatives at a single point. Operators describing the effect in jet space of blurring and scaling are investigated. The theory developed is applicable in the analysis of naturally occurring images of which examples are provided.