منابع مشابه
Fast Digital Locally Monotonic Regression - Signal Processing, IEEE Transactions on
Locally monotonic regression is the optimal counterpart of iterated median filtering. In a previous paper, Restrepo and Bovik developed an elegant mathematical framework in which they studied locally monotonic regressions in R . The drawback is that the complexity of their algorithms is exponential in N . In this paper, we consider digital locally monotonic regressions, in which the output symb...
متن کاملRestrepo and Bovik : Locally Monotonic Regression
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...
متن کامل2-D binary locally monotonic regression
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...
متن کاملOn the statistical optimality of locally monotonic regression
Aocally monotonic regression is a recently proposed technique for the deterministic smoothing of finite-length discrete signals under the smoothing criterion of local monotonicity. Locally monotonic regression falls within a general framework for the processing of signals that may be characterized in three ways: regressions are given by projections that are determined by semimetrics, the proces...
متن کاملLocally 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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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 1997
ISSN: 1053-587X
DOI: 10.1109/78.554303