Structuring element

About: Structuring element is a research topic. Over the lifetime, 997 publications have been published within this topic receiving 26839 citations.

Optimizing Texture Primitives Description Based on Variography and Mathematical Morphology

Abstract: This paper proposes a novel method of optimising texture primitives detection based on the mathematical morphology. Indeed, successful textural analysis relies on the careful selection of the adapted window size. We use variography to optimise the shape of structuring elements to fit the shape of the unit patterns that form a texture. The variogram is essentially a “variance of differences” in the values as a function of the separation distance. This variance therefore changes as the separation distance increases where repetitive structures are described as hole-effects. We used the local minima (hole-effects) to find size, shape an orientation of unit pattern of image textures and thus to determine the optimal structuring element which will be used in mathematical morphological texture analysis. Some of Brodatz’s natural texture images have been used for evaluating the performance of the structuring elements found in the characterisation and discrimination of the texture aspects of images. Promising results are obtained and presented.

A generalized morphological skeleton transform and extraction of structural shape components

Abstract: In this paper, we introduce a generalized morphological skeleton transform that uses eight structuring elements to generate skeleton subsets. The number of representative points needed to represent a given shape is significantly lower than in the standard skeleton transform. A collection of shape components needed to build a structural representation is easily selected from the shape elements generated in the generalized skeleton transform. Each shape component covers a significant area of the given shape and severe overlapping is avoided. The given shape can also be accurately approximated using a small number of shape components.

Morphological representation of 2-D binary shapes using rectangular components

Abstract: The morphological skeleton transform is a shape representation scheme that decomposes a shape into a union of all minimal homothetics of a structuring element contained in the shape. In this paper, we develop an algorithm that generalizes the skeleton transform by allowing many different rectangles of different sizes and shapes to be used as shape components. The shape components in our representations still have simple and well defined mathematical characterizations. The representation is uniquely defined and the algorithm is simple and efficient to implement. Experiments show that our representations use significantly less shape components than those produced by the regular skeleton transform.

Structuring professional cooperation

Abstract: We present an element suitable to structure professional cooperation. This structuring element is independent of any domain or area of expertise, although it is biased towards design. The element describes modes of operation of a single expert and the cooperation between multiple experts. Based on this, aggregates representing complex project situations can be rendered. We offer several examples.