Topic
Structuring element
About: Structuring element is a research topic. Over the lifetime, 997 publications have been published within this topic receiving 26839 citations.
Papers published on a yearly basis
Papers
More filters
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01 Jan 1992
TL;DR: The paper sets down a paradigm for library optimization and presents a methodology for first-order-library construction, which can greatly reduce design computation, while at the same time producing good filters.
Abstract: Statistically optimized morphological filters are preferable to those traditionally selected by humans. Nevertheless, full optimization has been shown to be computationally intractable. By applying first-order knowledge to select a predetermined structuring-element library upon which to apply optimization, one can greatly reduce design computation, while at the same time producing good filters. The paper sets down a paradigm for library optimization and presents a methodology for first-order-library construction. Experimental results depicted herein illustrate the goodness of the estimations. >
3 citations
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01 Nov 2017TL;DR: This work uses a form of alternating sequential filters (like those proposed by Jean Serra in 1988) to expand the content of the Fourier spectrum around the known measured values to interpolate missing values from sets of frequency domain measurements, as occurs in Magnetic Resonance Imaging.
Abstract: Morphologic filters are used here to interpolate missing values from sets of frequency domain measurements, as occurs in Magnetic Resonance Imaging. MRI data acquisition is done in the Fourier domain which is often sub-sampled to reduce the required scan time. Partial recovery of the missing frequency samples permits direct Fourier inversion to provide a rapid and improved initial estimation of the spatial data. The interpolated image should also improve the convergence of subsequent iterative reconstruction that is used in compressed sensing methods. Spectral analysis of morphologic operators appears rarely in prior publications. We examine the non-linear spectral changes that arise from applying morphologic open and close operations. We use a form of alternating sequential filters (like those proposed by Jean Serra in 1988) to expand the content of the Fourier spectrum around the known measured values. The alternating sequence terminates just before the structuring element size that maximises the added spectral energy. The maximum in spectral energy coincides with the optimal reconstructed psnr. This interpolation, being idempotent, at worst, adds nothing to the known data. The method is, of course, sensitive to both the Fourier sub-sampling pattern and to the spectral content of the data. It thus works best for data that contains strong steps between flat zones rather than images comprised mostly of smooth curves. This nonlinear interpolation method can increase the mean psnr values by 3 for sampling rates above 70%. In the most favourable cases, psnr gains well above 20 can be obtained for sampling rates down to 60%, with psnr gains above 10 possible for sampling rates as low as 20%.
3 citations
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01 Jan 2010
TL;DR: An overview is given of the evolution from binary mathematical morphology over the different grayscale morphology theories to interval-valued fuzzy mathematical morphology and the intervals-valued image model, and the basic properties of the interval- valued fuzzy morphological operators are investigated.
Abstract: Image sequences play an important role in today's world. They provide us a lot of information. Videos are for example used for traffic observations, surveillance systems, autonomous navigation and so on.
Due to bad acquisition, transmission or recording, the sequences are however usually corrupted by noise, which hampers the functioning of many image processing techniques. A preprocessing module to filter the images often becomes necessary.
After an introduction to fuzzy set theory and image processing, in the first main part of the thesis, several fuzzy logic based video filters are proposed: one filter for grayscale video sequences corrupted by additive Gaussian noise and two color extensions of it and two grayscale filters and one color filter for sequences affected by the random valued impulse noise type.
In the second main part of the thesis, interval-valued fuzzy mathematical morphology is studied. Mathematical morphology is a theory intended for the analysis of spatial structures that has found application in e.g. edge detection, object recognition, pattern recognition, image segmentation, image magnification…
In the thesis, an overview is given of the evolution from binary mathematical morphology over the different grayscale morphology theories to interval-valued fuzzy mathematical morphology and the interval-valued image model. Additionally, the basic properties of the interval-valued fuzzy morphological operators are investigated.
Next, also the decomposition of the interval-valued fuzzy morphological operators is investigated. We investigate the relationship between the cut of the result of such operator applied on an interval-valued image and structuring element and the result of the corresponding binary operator applied on the cut of the image and structuring element. These results are first of all interesting because they provide a link between interval-valued fuzzy mathematical morphology and binary mathematical morphology, but such conversion into binary operators also reduces the computation.
Finally, also the reverse problem is tackled, i.e., the construction of interval-valued morphological operators from the binary ones. Using the results from a more general study in which the construction of an interval-valued fuzzy set from a nested family of crisp sets is constructed, increasing binary operators (e.g. the binary dilation) are extended to interval-valued fuzzy operators.
3 citations
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01 Jun 1996
TL;DR: In this paper, the author describes how morphological operations using a square structuring element may be performed on a binary image by processing the crack code descriptions of the outlines of the outline.
Abstract: The author describes how morphological operations using a square structuring element may be performed on a binary image by processing the crack code descriptions of the outlines. The operations of erosion, dilation, thinning, and fattening are described.
3 citations
01 Jan 2010
TL;DR: In this article, the authors experimented the operations of hit or miss, thinning and gradient operations on textures and showed uniform patterns in cloth textures and where as more number of regions with different topologies are exhibited by the tree bark textures.
Abstract: Mathematical morphology stresses the role of shape in image pre-processing, segmentation, and object description. It constitutes a set of tools that have solid mathematical background and lead to fast algorithms. The basic entity is a point set. Morphology operates using transformations that are described using operators in a relatively simple non linear algebra. Mathematical morphology constitutes a counterpart to traditional signal processing based on linear operators (such as convolution). In images, morphological operations are relations of two sets. One is an image and the second a small probe, called a structuring element, that systematically traverses the image; its relation to the image in each position is stored in the output image. Fundamental operations of mathematical morphology are dilation and erosion. Dilation expands an object to the closest pixels of the neighborhood. Erosion shrinks the object. Erosion and dilation are not invertible operations; their combination constitutes new operations—opening and closing. Thin and elongated objects are often simplified using a skeleton that is an archetypical stick replacement of original objects. The skeleton constitutes a line that is in the middle of the object. To study the pattern trends with shape as primitive the present article experimented the operations of hit or miss, thinning and gradient operations on textures. The experiments clearly shows uniform patterns in cloth textures and where as more number of regions with different topologies are exhibited by the tree bark textures. This factors clearly co-insides with the nature of these textures.
3 citations