Locally monotonic diffusion

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Locally monotonic diffusion

Anisotropic diffusion affords an efficient, adaptive signal smoothing technique that can be used for signal enhancement, signal segmentation, and signal scale-space creation. This paper introduces a novel partial differential equation (PDE)-based diffusion method for generating locally monotonic signals. Unlike previous diffusion techniques that diverge or converge to trivial signals, locally m...

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The concept of local monotonicity appears in the study of the set of root signals of the median filter and provides a measure of the smoothness of a signal. The median filter is a suboptimal smoother under this measure of smoothness, since a filter pass does necessarily yield a locally monotonic output; even if a locally monotonic output does result, there is no guarantee that it will possess o...

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We introduce binary locally monotonic regression as a first step in the study of the application of local monotonicity for image estimation. Given an algorithm that generates a similar locally monotonic image from a given image, we can specify both the scale of the image features retained and the image smoothness. In contrast to the median filter and to morphological filters, a locally monotoni...

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Monotonic solution of heterogeneous anisotropic diffusion problems

Article history: Received 14 February 2012 Received in revised form 1 March 2013 Accepted 6 June 2013 Available online 27 June 2013

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ژورنال

عنوان ژورنال: IEEE Transactions on Signal Processing

سال: 2000

ISSN: 1053-587X

DOI: 10.1109/78.839984