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Nonlinear Scale-Space

Image and Vision Computing, 1994
A generalization of linear Gaussian scale-space theory for scalar images is proposed, based on a particular type of metric transform preserving the intrinsic properties of the spatial domain. The existence of such a transformation defines an equivalence class.
Luc Florack   +4 more
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Linear scale-space

Journal of Mathematical Imaging and Vision, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luc Florack   +3 more
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Dyadic scale space

Pattern Recognition, 1996
In this paper, we first approximate the Gaussian function with any scale by the linear finite combination of Gaussian functions with dyadic scale; consequently, the scale space can be constructed much more efficiently: we only perform smoothing at these dyadic scales and the smoothed signals at other scales can be found by calculating linear ...
Ge Cong, Songde Ma
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Morphological scale-space

Proceedings., 11th IAPR International Conference on Pattern Recognition. Vol. IV. Conference D: Architectures for Vision and Pattern Recognition,, 1997
Two scaled morphological operations, the multiscale dilation-erosion and the multiscale closing-opening, have been introduced for the scale-space smoothing of signals. The multiscale operations are translation invariant, nonlinear, increasing, and dependent on a real-scale parameter, which can be negative.
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Temporal Scale Spaces

International Journal of Computer Vision, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Bessel Scale-Space

2005
In this paper we propose a novel type of scales-spaces which is emerging from the family of inhomogeneous pseudodifferential equations $(I - \tau\Delta)^{\frac{t}{2}}u$ with τ ≥ 0 and scale parameter t ≥ 0. Since they are connected to the convolution semi-group of Bessel potentials we call the associated operators {R$^{n}_{t,{ \tau}}$ | 0≤ τ,t} either ...
Bernhard Burgeth   +2 more
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The Art of Scale-Space

Procedings of the British Machine Vision Conference 2003, 2003
Artists pictures rarely have photo-realistic detail. Tools to create pictures from digital photographs might, therefore, include methods for removing detail. These tools such as Gaussian and anisotropic diffusion filters and connected-set morphological filters (sieves) remove detail whilst maintaining scale-space causality, in other words new detail is
J. Andrew Bangham   +2 more
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Homing in Scale Space

2008 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2008
Local visual homing is the process of determining the direction of movement required to return an agent to a goal location by comparing the current image with an image taken at the goal, known as the snapshot image. One way of accomplishing visual homing is by computing the correspondences between features and then analyzing the resulting flow field to
David Churchill, Andrew Vardy
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Sparsification Scale-Spaces

2019
We introduce a novel scale-space concept that is inspired by inpainting-based lossy image compression and the recent denoising by inpainting method of Adam et al. (2017). In the discrete setting, the main idea behind these so-called sparsification scale-spaces is as follows: Starting with the original image, one subsequently removes a pixel until a ...
Cárdenas, Marcelo   +2 more
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