This paper proposes one possibility to generalize the morphological operations particularly, dilation, erosion, opening, and closing to color images. First, properties of a desirable generalization are stated and a brief review is done on former approaches. Then, the method is explained, which is based on a total ordering of the colors in an image induced by its color histogram; this is valid f...

The checkerboard extraction process is an important pre-preprocessing step in camera calibration. This project attempts to implement the checkerboard extraction processes using methods learned from EE368. This includes the isolation of the checkerboard using morphological operations. The benefit of the approach is that it is efficient since morphological operations can be implemented efficientl...

This paper presents some results to decompose circular structuring elements into 3 x 3 elements. Decomposition allows to improve the expended time in computing morphological operations. Generally, the shape of the structuring element determines the image transformation. Morphological operations with disks can be used as slhape and size descriptors. The optimal discrete approximation of a disk c...

Tensor fields are important in digital imaging and computer vision. Hence there is a demand for morphological operations to perform e.g. shape analysis, segmentation or enhancement procedures. Recently, fundamental morphological concepts have been transferred to the setting of fields of symmetric positive definite matrices, which are symmetric rank two tensors. This has been achieved by a matri...

The geometric and statistical physical concepts of dynamic scale-space paradigms are presented and juxtaposed to those of mathematical morphology. It turns out that the dynamic paradigms can be applied to, substantiate and even generalise the morphological techniques and paradigms. In particular the importance of the dynamic scale-space concepts in granulometry by means of size densities or sta...

We describe our partially completed work on a set of morphological algorithms for recognizing handwritten numerals. The basic morphological operations { dilation, erosion, opening and closing { are used to extract characteristic features of these characters and check for their appropriate topological con guration. The paper describes the key shape characterization for two groups containing a to...

For image processing systems that have a limited size of region of support, say 3 x 3, direct implementation of morphological operations by a structuring element larger than the prefixed size is impossible. The decomposition of morphological operations by a large structuring element into a sequence of recursive operations, each using a smaller structuring element, enables the implementation of ...

Video object segmentation is an important pre-processing task for many video analysis systems. To achieve the requirement of real-time video analysis, hardware acceleration is required. In this paper, after analyzing existing video object segmentation algorithms, it is found that most of the core operations can be implemented with simple morphology operations. Therefore, with the concepts of mo...

The article describes a hierarchical decision making framework for the evaluation and improvement/redesign of composite systems. The framework is based on Hierarchical Morphological Multicriteria Design (HMMD) and corresponding morphological clique problem which realize “partitioning/synthesis macroheuristic”. The system evaluation process consists in hierarchical integration of expert judgment...