This article deals with the issue of reducing the spectral dimension of a hyperspectral image using principal component analysis (PCA). To perform this dimensionality reduction, we propose the addition of spatial information in order to improve the features that are extracted. Several approaches proposed to add spatial information are discussed in this article. They are based on mathematical mo...

A new method of image segmentation is proposed in this paper which combines histogram thresholding, modified gradient vector field and morphological operators. The nonbrain regions are removed using mathematical morphological operators. Histogram thresholding is used to detect whether the brain is normal or abnormal i.e., it is used to detect the suspicious region or tumor. If the brain is abno...

In this paper spatially adaptive Mathematical Morphology (MM) is studied for color images. More precisely, the General Adaptive Neighborhood Image Processing (GANIP) approach is generalized to color images. The basic principle is to define a set of locally Color Adaptive Neighborhoods (CAN), one for each point of the image, and to use them as adaptive structuring elements (ASE) for morphologica...

Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations fuzzy erosion, dilation, opening and closing, we introduce a general method based upon fuzzy implication and inclusion grade operators, including as particular case, other ones existing in related literature In the definition of fuzzy erosio...

This paper presents a morphological scale-space approach to the problem of feature extraction. The method relies on two steps: a hierarchical simplification step based on pyramids of morphological operators and a feature extraction step consisting in measuring the persistence of each image structure through the simplification scales. Specific scalespace properties are needed: the features shoul...

there are many different ways to subdivide the spectrum of a bounded linear operator; some of them aremotivated by applications to physics (in particular, quantum mechanics). in this study, the relationship betweenthe subdivisions of spectrum which are not required to be disjoint and goldberg's classification are given.moreover, these subdivisions for some summability methods are studied.

Human object extraction from infrared image has broad applications, and has become an active research area in image processing community. Combined with chaos differential evolution (CDE) algorithm and morphological operators, a novel infrared human target extraction method is proposed based on nonextensive fuzzy entropy. Firstly, the image was transformed into a fuzzy domain by fuzzy membership...

This Paper Present the detection and segmentation of brain tumor using watershed and thresholding algorithm. Brain tumor segmentation in magnetic resonance imaging (MRI) has become an emergent research area in the field of medical imaging system. Brain tumor detection helps in finding the exact size, shape, boundary extraction and location of tumor. The system is consist of three stages to dete...

The paper describes a detection method of car number plates on digital images. The method inputs the graytone image of a car and extracts from it the characters on the number plate. The proposed method makes use of the morphological operators: morphological reconstruction, filters based on it and top-hat operators. The method can be applied to access control systems supervising the car traffic ...

Mathematical Morphology (MM) offers a wide range of operators to address various image processing problems. These processing can be defined in terms of algebraic set or as partial differential equations (PDEs). In this paper, a novel approach is formalized as a framework of partial difference equations (PdEs) on weighted graphs. We introduce and analyze morphological operators in local and nonl...