Topic
Structuring element
About: Structuring element is a research topic. Over the lifetime, 997 publications have been published within this topic receiving 26839 citations.
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TL;DR: The morphological facet model is introduced in which an analytical function is locally fitted to the data and dilated analytically with an infinitesimal small structuring element, forming the core of the numerical solution schemes presented in this paper.
Abstract: The partial Differential equations describing the propagation of (wave) fronts in space are closely connected with the morphological erosion and dilation Strangely enough this connection has not been explored in the derivation of numerical schemes to solve the Differential equations In this paper the morphological facet model is introduced in which an analytical function is locally fitted to the data This function is then dilated analytically with an infinitesimal small structuring element These sub-pixel dilationsform the core of the numerical solution schemes presented in this paper One of the simpler morphological facet models leads to a numerical scheme that is identical with a well known classical upwind finite Difference scheme Experiments show that the morphological facet model provides stable numerical solution schemes for these partial Differential equations
15 citations
24 Apr 1988
TL;DR: In this article, a recursive adaptive thresholding algorithm is proposed to transform a gray-level image into a set of multiple-level regions of objects, which are then transformed into the minimum distance from each point to the boundary of the object.
Abstract: Application algorithms for industrial parts and tool recognition and inspection by image morphology techniques are discussed. A recursive adaptive thresholding algorithm transforms a gray-level image into a set of multiple-level regions of objects. This algorithm uses a morphological erosion with a large symmetrical concave structuring element. A distance-transformation algorithm transforms these binary image regions into the minimum distance from each object point to the boundary of the object. This algorithm also uses a morphological erosion. From the distance transform, it is possible to compute a shape number and extract the skeleton, which is useful for generic pattern recognition and feature extraction. Corner angles and the radii of circular holes can be located, identified, and estimated by using morphological openings and erosions. The algorithms allow robust tool and part recognition and inspection. >
15 citations
TL;DR: The present paper is mainly concerned with the development of structuring-element libraries to which the basis search can be confined, and focuses on the expert-library approach: various subl libraries are formed, each of which corresponds to certain key filters, and a suboptimal filter is derived from image-noise statistics in conjunction with a basis search restricted to relevant sublibraries.
Abstract: For both the binary and gray scales, mean-square optimal digital morphological filters have been fully characterized previously in terms of the Matheron erosion representation for increasing, translation-invariant mappings. Included in the characterization is the minimal search strategy for the optimal filter basis; nonetheless, in the absence of prior statistical information or an adequate image-noise model, even in the binary setting design is computationally intractable for moderately sized observation windows.The computational burden can be mitigated by imposing constraints on the filter. The present paper is mainly concerned with the development of structuring-element libraries to which the basis search can be confined. More specifically, the authors focus on the expert-library approach: various sublibraries are formed, each of which corresponds to certain key filters, the overall library is formed as the union of the sublibraries, and a suboptimal filter is derived from image-noise statistics in conjunction with a basis search restricted to relevant sublibraries.© (1991) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
15 citations
TL;DR: A multiple-scale boundary representation based on morphological operations is described, in line with Witkin's scale space filtering, where boundary features that are explicitly related across scales by the morphological scale space are organized into global regions and local boundary features.
15 citations
01 Jan 2020
TL;DR: In this method, a disk-shaped flat structuring element along with top-hat and bottom-hat morphological operators is used and the performance of the filter is validated by incrementing values of contrast improvement index (CII) and peak signal-to-noise ratio (PSNR) parameters indicating a successful enhancement without noise amplification.
Abstract: Brain tumor is a life-threatening disease with a fast growth rate, which makes its detection a critical task. However, low contrast and high noise content in brain MR images hamper the screening of tumor. Enhancement is therefore done to improve the perceivable features of these images. This paper presents an improved enhancement technique of brain MR-T1/T2 images by employing morphological filters. In this method, a disk-shaped flat structuring element along with top-hat and bottom-hat morphological operators is used. The performance of the filter is validated by incrementing values of contrast improvement index (CII) and peak signal-to-noise ratio (PSNR) parameters indicating a successful enhancement without noise amplification.
14 citations