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New Multiscale Transforms, Minimum Total Variation Synthesis: Applications to Edge-Preserving Image Reconstruction
Ridgelets curvelets wavelets pseudo-polar FFT Slant Stack Radon transform trigonometric interpolation total-variation edges edge-preserving tomography/deconvolution thresholding
2015/6/17
This paper describes newly invented multiscale transforms known under the name of the ridgelet [6] and the curvelet transforms [9, 8]. These systems combine ideas of multiscale analysis and geometry. ...
On limit distributions of normalized truncated variation, upward truncated variation and downward truncated variation processes
upward truncated variation downward truncated variation processes
2010/11/19
In the paper we introduce the truncated variation, upward truncated variation and downward truncated variation. These are closely related to the total variation but are well-defined even if the latte...
On the second inner variation of the Allen-Cahn Functional and its applications
Allen-Cahn functional second variation Morse index stability
2010/12/14
In this paper, we study the relation between the second inner variations of the Allen-Cahn functional and its Gamma-limit, the area functional. Our result implies that the Allen-Cahn functional only a...
Study of temperature variation in human peripheral region during wound healing process due to plastic surgery
Wound healing Finite element method
2010/9/17
In this paper, investigations are made to analyze the human body temperature during wound healing process due to surgery. Wound is considered after the skin graft. Skin graft is a technique used in pl...
Approximating the Finite Hilbert Transform via an Ostrowski Type Inequality for Functions of Bounded Variation
Finite Hilbert Transform Ostrowski's Inequality
2008/7/2
Using the Ostrowski type inequality for functions of bounded variation, an approximation of the finite Hilbert Transform is given. Some numerical experiments are also provided.
Rate of Convergence of Summation-Integral Type Operators with Derivatives Of Bounded Variation
Linear positive operators Bounded variation Total variation Rate of convergence
2008/6/27
Rate of Convergence of Summation-Integral Type Operators with Derivatives Of Bounded Variation.
Sharp Grüss-type Inequalities for Functions whose Derivatives are of Bounded Variation
Riemann-Stieltjes integral Functions of bounded variation Lipschitzian functions Integral inequalities Č ebyš ev Grüss Ostrowski and Lupaş type inequalities
2008/6/26
Sharp Grüss-type inequalities for functions whose derivatives are of bounded variation (Lipschitzian or monotonic) are given. Applications in relation with the well-known Čebyšev, Grüss, Ost...
Quasi Sure Product Variation of two Parameter Smooth Martingales on the Wiener Space
quasi-sure $\infty$-modification smooth martingale product variation Kolmogorov's criterion
2007/12/12
In this paper, we prove that the process of product variation of a two-parameter smooth martingale admits an $\infty$ modification, which can be constructed as the quasi-sure limit of sum of the corre...