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Adaptive Image Resizing Based on Continuous-Domain Stochastic Modeling

delete2014-01-01
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OA
AI
H
Hagai Kirshner *
A
Aurélien Bourquard
J
John Paul Ward
M
Moshe Porat
M
Michaël Unser
DOI:10.1109/TIP.2013.2285597delete
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摘要

摘要

En 中文
We introduce an adaptive continuous-domain modeling approach to texture and natural images. The continuous-domain image is assumed to be a smooth function, and we embed it in a parameterized Sobolev space. We point out a link between Sobolev spaces and stochastic auto-regressive models, and exploit it for optimally choosing Sobolev parameters from available pixel values. To this aim, we use exact continuous-to-discrete mapping of the auto-regressive model that is based on symmetric exponential splines. The mapping is computationally efficient, and we exploit it for maximizing an approximated Gaussian likelihood function. We account for non-Gaussian Levy-type processes by deriving a more robust estimator that is based on the sample auto-correlation sequence. Both estimators use multiple initialization values for overcoming the local minima structure of the fitting criteria. Experimental image resizing results indicate that the auto-correlation criterion can cope better with non-Gaussian processes and model mismatch. Our work demonstrates the importance of the auto-correlation function in adaptive image interpolation and image modeling tasks, and we believe it is instrumental in other image processing tasks as well.
Keyword:
Auto-regressive parameter estimation
adaptive interpolation
exponential splines
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期刊

IEEE Transactions on Image Processing 封面图
IEEE Transactions on Image Processing
IF:
13.7
论文数:
1.0W
被引数:
8.4W

机构

E
Ecole Polytechnique Federale de Lausanne
学者数:
1.7W
论文数: 1.3W
被引数: 25
S
swiss federal institutes of technology domain
学者数:
9.0W
论文数: 8.0W
被引数: 163
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