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2,502
Image Processing Applications for Nonlinear Decomposition and Synthesis
"... B, 25 pages Data representation, which is often overlooked in many image processing and analysis applications, is as critical as the algorithms applied to that data. When data is represented properly, simple algorithms can be much more powerful than sophisticated and often com-plex algorithms applie ..."
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. To provide a solid foundation for a good solution to this problem, "multiresolution decomposition and synthesis " approaches have been developed which decompose raw image data into a set of partial information channels, where each channel represents a certain modality (or aspect) of the raw image
Fast Bilateral Filtering for the Display of High-Dynamic-Range Images
, 2002
"... We present a new technique for the display of high-dynamic-range images, which reduces the contrast while preserving detail. It is based on a two-scale decomposition of the image into a base layer, encoding large-scale variations, and a detail layer. Only the base layer has its contrast reduced, the ..."
Abstract
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Cited by 453 (10 self)
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We present a new technique for the display of high-dynamic-range images, which reduces the contrast while preserving detail. It is based on a two-scale decomposition of the image into a base layer, encoding large-scale variations, and a detail layer. Only the base layer has its contrast reduced
Reflected BSDE with a Constraint and a New Doob-Meyer Nonlinear Decomposition
, 2008
"... Abstract. In this paper, we study a type of reflected BSDE with a constraint and introduce a new kind of nonlinear expectation via BSDE with a constraint and prove the Doob-Meyer decomposition with respect to the super(sub)martingale introduced by this nonlinear expectation. We then apply the result ..."
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Abstract. In this paper, we study a type of reflected BSDE with a constraint and introduce a new kind of nonlinear expectation via BSDE with a constraint and prove the Doob-Meyer decomposition with respect to the super(sub)martingale introduced by this nonlinear expectation. We then apply
Nonlinear decomposition-and-demosaicing approach for a digital color camera
- in Proc. EUSIPCO 2008, 1569098794.pdf
, 2008
"... This paper presents a demosaicing approach via nonlinear image decomposition for a digital color camera. This approach is com-posed of four stages. At the first stage, with the multiplicative BV-G image-decomposition method, each primary color channel of ob-served raw color data mosaicked with the B ..."
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Cited by 1 (1 self)
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This paper presents a demosaicing approach via nonlinear image decomposition for a digital color camera. This approach is com-posed of four stages. At the first stage, with the multiplicative BV-G image-decomposition method, each primary color channel of ob-served raw color data mosaicked
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
, 1992
"... We describe the Wavelet-Vaguelette Decomposition (WVD) of a linear inverse problem. It is a substitute for the singular value decomposition (SVD) of an inverse problem, and it exists for a class of special inverse problems of homogeneous type { such asnumerical di erentiation, inversion of Abel-type ..."
Abstract
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Cited by 251 (12 self)
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We describe the Wavelet-Vaguelette Decomposition (WVD) of a linear inverse problem. It is a substitute for the singular value decomposition (SVD) of an inverse problem, and it exists for a class of special inverse problems of homogeneous type { such asnumerical di erentiation, inversion of Abel
ADAPTED LINEAR-NONLINEAR DECOMPOSITION AND GLOBAL WELL-POSEDNESS FOR SOLUTIONS TO THE DEFOCUSING CUBIC WAVE EQUATION ON R 3
, 710
"... Abstract. We prove global well-posedness for the defocusing cubic wave equation ..."
Abstract
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Cited by 10 (2 self)
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Abstract. We prove global well-posedness for the defocusing cubic wave equation
Natural Signal Statistics and Sensory Gain Control
- Nature Neuroscience
, 2001
"... The statistical properties of natural images suggest an optimal form of nonlinear decomposition, in which the image is decomposed using a set of linear filters at a variety of positions, scales and orientations, and these linear responses are then rectified and divided by a weighted sum of rectified ..."
Abstract
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Cited by 200 (26 self)
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The statistical properties of natural images suggest an optimal form of nonlinear decomposition, in which the image is decomposed using a set of linear filters at a variety of positions, scales and orientations, and these linear responses are then rectified and divided by a weighted sum
Decomposition
, 2010
"... High-performance streaming applications are typically pipelined and deployed on architecturally diverse (hybrid)systems. Developers of such applications are interested in customizing components used, so as to benefit application performance. We present an efficient and automatic technique for design ..."
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for design-space exploration of applications in this problem domain. We solve performance tuning as an optimization problem by formulating cost functions using results from queueing theory. This results in a mixed-integer nonlinear optimization problem which is NP-hard. We reduce the search complexity
Balanced model reduction via the proper orthogonal decomposition
- AIAA Journal
, 2002
"... A new method for performing a balanced reduction of a high-order linear system is presented. The technique combines the proper orthogonal decomposition and concepts from balanced realization theory. The method of snapshots is used to obtain low-rank, reduced-range approximationsto the system control ..."
Abstract
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Cited by 134 (6 self)
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derived using a conventionalproper orthogonaldecomposition. Although further development is necessary, the concept also extends to nonlinear systems. W Nomenclature h = airfoil plunge displacement K = proper orthogonal decomposition (POD) kernel m = number of POD snapshots n = number of states
Results 1 - 10
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