Results 1 - 10
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486
Nonlinear inverse scale space methods for image restoration
- Communications in Mathematical Sciences
, 2005
"... Abstract. In this paper we generalize the iterated refinement method, introduced by the authors in [8], to a time-continuous inverse scale-space formulation. The iterated refinement procedure yields a sequence of convex variational problems, evolving toward the noisy image. The inverse scale space m ..."
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Cited by 65 (18 self)
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Abstract. In this paper we generalize the iterated refinement method, introduced by the authors in [8], to a time-continuous inverse scale-space formulation. The iterated refinement procedure yields a sequence of convex variational problems, evolving toward the noisy image. The inverse scale space
Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
- IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING
, 2007
"... Many problems in signal processing and statistical inference involve finding sparse solutions to under-determined, or ill-conditioned, linear systems of equations. A standard approach consists in minimizing an objective function which includes a quadratic (squared ℓ2) error term combined with a spa ..."
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Cited by 539 (17 self)
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of applications, often being significantly faster (in terms of computation time) than competing methods. Although the performance of GP methods tends to degrade as the regularization term is de-emphasized, we show how they can be embedded in a continuation scheme to recover their efficient practical performance.
Improved Localization of Cortical Activity by Combining EEG and MEG with MRI Cortical Surface Reconstruction: A Linear Approach
- J. Cogn. Neurosci
, 1993
"... We describe a comprehensive linear approach to the prob- lem of imaging brain activity with high temporal as well as spatial resolution based on combining EEG and MEG data with anatomical constraints derived from MRI images. The "inverse problem" of estimating the distribution of dipole st ..."
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Cited by 263 (19 self)
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is recursively fiood4illed ,o determine the topology of the gray.white matter border, and (3) the resulting continuous surface is refinc by relaxing it against the original 3-D gray-scale image using a deformable template method, which is also used to computationally flatten the cortex for k'asier vic
Coil sensitivity encoding for fast MRI. In:
- Proceedings of the ISMRM 6th Annual Meeting,
, 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
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Cited by 193 (3 self)
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complementary to Fourier preparation by linear field gradients. Thus, by using multiple receiver coils in parallel scan time in Fourier imaging can be considerably reduced. The problem of image reconstruction from sensitivity encoded data is formulated in a general fashion and solved for arbitrary coil
The Inverse Source Problem of Electromagnetics: Linear Inversion Formulation and Minimum Energy Solution
"... the mode occurs at �™��- � aSGHz. Fig. 2(a) ( � aIHGHz) and Fig. 2(b) ( � aPGHz), show the radiated field for frequencies above and below the cutoff, respectively. In both cases, the line integration (continuous line) and the surface integrations (dots) lead to identical results in the limit of the ..."
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the mode occurs at �™��- � aSGHz. Fig. 2(a) ( � aIHGHz) and Fig. 2(b) ( � aPGHz), show the radiated field for frequencies above and below the cutoff, respectively. In both cases, the line integration (continuous line) and the surface integrations (dots) lead to identical results in the limit
Correlated continuous time random walks
"... Abstract. Continuous time random walks impose a random waiting time before each particle jump. Scaling limits of heavy tailed continuous time random walks are governed by fractional evolution equations. Space-fractional derivatives describe heavy tailed jumps, and the time-fractional version codes h ..."
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Cited by 10 (4 self)
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Abstract. Continuous time random walks impose a random waiting time before each particle jump. Scaling limits of heavy tailed continuous time random walks are governed by fractional evolution equations. Space-fractional derivatives describe heavy tailed jumps, and the time-fractional version codes
Space, Scale, and Scaling in Entropy Maximizing
"... Entropy measures were first introduced into geographical analysis during a period when the concept of human systems in equilibrium was in its ascendancy. In particular, entropy maximizing, in direct analogy with equilibrium statistical mechanics, provides a powerful framework in which to generate l ..."
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location and interaction models. This was introduced and popularized by Wilson, and it led to many different extensions that elaborate the framework rather than extend it to different kinds of models. I review two such extensions here: how space can be introduced into the formulation through defining a
Parallel Multiscale Gauss-Newton-Krylov Methods For Inverse Wave Propagation
, 2002
"... One of the outstanding challenges of computational science and engineering is large-scale nonlinear parameter estimation of systems governed by partial differential equations. These are known as inverse problems,in contradistinction to the forward problems that usually characterize large-scale simu ..."
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Cited by 51 (18 self)
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simulation. Inverse problems are significantly more difficult to solve than forward problems, due to ill-posedness, large dense ill-conditioned operators, multiple minima, space-time coupling, and the need to solve the forward problem repeatedly. We present a parallel algorithm for inverse problems governed
Terrain aware inversion of predictive models for high performance
"... The capacity to predict motion adequately over the time scale of a few seconds is fundamental to autonomous mobility. Model predictive optimal control is a general formalism within which most historical approaches can be cast as special cases. Applications continue to grow in ambition to seek higher ..."
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Cited by 2 (0 self)
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The capacity to predict motion adequately over the time scale of a few seconds is fundamental to autonomous mobility. Model predictive optimal control is a general formalism within which most historical approaches can be cast as special cases. Applications continue to grow in ambition to seek
Interval Estimation of Bounded Variable Means via Inverse Sampling ∗
, 2008
"... In this paper, we develop interval estimation methods for means of bounded random variables based on a sequential procedure such that the sampling is continued until the sample sum is no less than a prescribed threshold. 1 Inverse Sampling It is a ubiquitous problem to estimate the means of bounded ..."
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Cited by 1 (1 self)
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In this paper, we develop interval estimation methods for means of bounded random variables based on a sequential procedure such that the sampling is continued until the sample sum is no less than a prescribed threshold. 1 Inverse Sampling It is a ubiquitous problem to estimate the means of bounded
Results 1 - 10
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486