Although fuzzy operators have deserved a large attention in the Euclidean case, almost nothing exists concerning the geodesic case. In this paper, we address this question, by de"ning fuzzy geodesic distances between points in a fuzzy set, and geodesic balls in a fuzzy set (based on the comparison of fuzzy numbers), from which we derive fuzzy geodesic mathematical morphology operators. The prop...

This paper presents the exploitation of the concept of fuzzy–subsethood for defining a new class of color image processing operations. By considering a color value as a fuzzy set, the calculus of fuzzy-subsethood becomes applicable to color images. From this, a simple color threshold operation can be defined, which gives a grayvalue image from the degrees of subsethood. Also, mathematical morph...

Mathematical morphology is based on the algebraic framework of complete lattices and adjunctions, which endows it with strong properties and allows for multiple extensions. In particular, extensions to fuzzy sets of the main morphological operators, such as dilation and erosion, can be done while preserving all properties of these operators. Another, more recent, extension, concerns bipolar fuz...

In this paper, we propose a generalized concept of openness and closedness with respect to arbitrary fuzzy relations, along with appropriate opening and closure operators. We will show that this framework includes the existing concept defined for fuzzy preorderings as well as the triangular norm-based approach to fuzzy mathematical morphology.

Automatic extraction of objects from aerial or satellite images have made significant progress in recent years. This paper presents an experimental model based on fuzzy logic system for identification of roads in SPOT sensor panchromatic images in Iran. Also the proposed model can be used for images such IKONOS. The method consists of three steps: feature extraction, fuzzy modeling, and mathema...

Classical plant morphology still provides the conceptual framework for most phytomorphological investigations and highly relevant concepts and data for other botanical disciplines such as plant morphogenesis, molecular genetics, ecology, systematics, evolutionary plant biology, etc. Typical classical morphology is categorical, i.e. the diversity of plant form is reduced to mutually exclusive mo...

In this paper, we propose to show that a particular fuzzy extension of the mathematical morphology coincides with a non-additive extension of the linear filtering based on convolution.