S.T. Acton and A.C. Bovik, "Nonlinear image estimation using piecewise and local image models," IEEE Trans. Image Processing, vol. 7, pp. 979-991, 1998. Home/Search Document Details and Download
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Fast Digital Locally Monotonic Regression - Nicholas Sidiropoulos Member (Correct)
....the complexity of their algorithms is exponential in . The authors admit that their algorithms are computationally very expensive, even for signals of relatively short duration; this hampers potential applications of the method. Recently, a related nonlinear filtering technique has been proposed [9] that attempts to overcome the complexity of earlier algorithms by considering instead a soft constraint formulation in which non locally monotonic solutions are Manuscript received September 8, 1995; revised July 26, 1996. This work was supported in part by the NSF ERC program through the ....
S. T. Acton and A. C. Bovik, "Nonlinear image estimation using piecewise and local image models," IEEE Trans. Image Processing, submitted for publication.
Nonlinear Diffusion of Image Derivatives - Mrázek (1999) (Correct)
....on some images and may be particularly useful for robust image segmentation, the model assuming piecewise constancy is unsuitable for noise removal from most natural scenes. A variety of other possible models, such as piecewise linear, locally monotone or locally convex has been suggested in [1, 2]. In this paper we argue that a large class of images can be successfully approximated by functions piecewise monotone, and that such a model can be enforced by nonlinear diffusion in the space of first partial derivatives of the image data. 1 The author gratefully acknowledges the support of ....
Scott T. Acton and Alan C. Bovik. Nonlinear image estimation using piecewise and local image models. IEEE Transactions on Image Processing, 7(7):979--991, July 1998.
Fast Digital Locally Monotonic Regression - Sidiropoulos (1997) (4 citations) (Correct)
....the Institute for Systems Research, University of Maryland, College Park, MD 20742 U.S.A. He can be reached at (301) 405 7411, or via e mail at nikos glue.umd.edu short duration; this hampers potential applications of the method. Recently, a related nonlinear filtering technique has been proposed [9], which attempts to overcome the complexity of earlier algorithms by considering instead a soft constraint formulation, in which non locally monotonic solutions are penalized, but not disqualified. This alternative approach is an interesting one, but it addresses a different problem. Locally ....
S. T. Acton and A. C. Bovik, "Nonlinear Image Estimation Using Piecewise and Local Image Models", IEEE Trans. Image Processing, submitted.
Locally Monotonic Models for Image and Video Processing - Acton (1999) Self-citation (Acton) (Correct)
....an extension of the 1 D definition is requisite. Previous work in multidimensional local monotonicity Alfredo Restrepo (Palacios) Dpt. Ing. E16ctrica y Electr6nica Universidad de los Andes A.A. 4976, Santaft de Bogota, Colombia arestrep uniandes.edu.co utilized the following definition [3]: In two (or more) dimensions, the signal is LOMO d if it is LOMO d in the I D sense along connected paths in defined orientations. The enhancement techniques in [3] and the restoration techniques in [2] essentially enforced local monotonicity along the image rows and columns. Here, we provide ....
....Universidad de los Andes A.A. 4976, Santaft de Bogota, Colombia arestrep uniandes.edu.co utilized the following definition [3] In two (or more) dimensions, the signal is LOMO d if it is LOMO d in the I D sense along connected paths in defined orientations. The enhancement techniques in [3] and the restoration techniques in [2] essentially enforced local monotonicity along the image rows and columns. Here, we provide alternative, more precise definitions of multidimensional local monotonicity that lead to welldefined sets of images. First, models for multidimensional local ....
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S.T. Acton and A.C. Bovik, "Nonlinear image estimation using piecewise and local image models," IEEE Trans. Image Processing, vol. 7, pp. 979-991, 1998.
Piecewise and Local Image Models for Regularized Image.. - Acton, Bovik (1999) (1 citation) Self-citation (Acton Bovik) (Correct)
....models into these classes, the ability to select the proper model for a given image restoration problem is critical to the success of this paradigm. Previously, these models have been selected on a trial and error basis with only intuitive assumptions about the original image structure in mind [2]. Using cross validation, the uncertainty of selecting the model heuristically can be improved upon. A model is selected by finding the PIM or LIM that yields the lowest validation error. This method essentially allows the characteristic property assumption of each PIM or LIM to be tested on the ....
S. T. Acton and A. C. Bovik, "Nonlinear image estimation using piecewise and local image models," IEEE Trans. Image Processing, vol. 7, pp. 979--991, July 1998.
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