2009 International Workshop on Local and Non-Local Approximation in Image Processing

2009 ◽  
2021 ◽  
Vol 4 (4) ◽  
pp. 1-22
Author(s):  
Fernando Farroni ◽  
◽  
Giovanni Scilla ◽  
Francesco Solombrino ◽  

<abstract><p>The approximation in the sense of $ \Gamma $-convergence of nonisotropic Griffith-type functionals, with $ p- $growth ($ p &gt; 1 $) in the symmetrized gradient, by means of a suitable sequence of non-local convolution type functionals defined on Sobolev spaces, is analysed.</p></abstract>


The theory of dissociative recombination (and the closely related processes of associative ionization and mutual quenching) is developed by using the Feshbach projection operator technique. An expression is given for the cross-section into a specific final state of the dissociating atoms. It is found that the complex potential energy corresponding to a resonance state is non-local in nature and the implications of using a local approximation are considered. The theory of photodissociation through resonances is developed with special reference to the energy spectrum of the products. It is shown that dissociative attachment can be studied without explicitly constructing the intermediate state.


2015 ◽  
Vol 9 ◽  
Author(s):  
Nicolas Guizard ◽  
Kunio Nakamura ◽  
Pierrick Coupé ◽  
Vladimir S. Fonov ◽  
Douglas L. Arnold ◽  
...  

2007 ◽  
Vol 29 (1) ◽  
pp. 13-24 ◽  
Author(s):  
Nguyen Xuan Hung ◽  
Ngo Thanh Phong

A quadrilateral element with smoothed curvatures for Reissner-Mindlin structure plates is proposed. A curvature matrix at an arbitrary point is normalized by a non-local approximation over a smoothing function. By choosing a constant smoothed function and applying the divergence theorem, the bending stiffness matrix calculated on boundaries of smoothing elements (smoothing cells) instead of on their interior. Several numerical results are analyzed to demonstrate high reliability and free locking of the proposed method.


Image has an important role to play in our daily life. It has its applications from simple documentation to complicated surveillance and medical applications. In the area of image processing, denoising is one among the most studied areas. Many a times the captured image will be degraded. This can happen at the time of acquisition and/or transmission. Noise is one such degrading agent. The presence of noise will affect the performance of the applications like segmentation, recognition, object detection and medical as well as general applications. Hence denoising is a prerequisite in these applications. The proposed method utilizes both transform and spatial domains. Shrinkage technique is applied in wavelet domain and in spatial domain, non-local means is used. Simulation is conducted on standard test images. The tabulated results shows that, the proposed method performs comparatively better.


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