a. csaszar introduced and extensively studied the notion of generalized opensets. following csazar, we introduce a new notion hyperconnected. we study some specicproperties about connected and hyperconnected in generalized topological spaces. finally, wecharacterize the connected component in generalized topological spaces.

In this paper we introduce a new mesh refinement method for subdivision surfaces. It generates a semiregular 4-direction hierarchical structure from control meshes representing 2D manifolds of arbitrary topology. The main advantage of this structure is that it allows the extraction of conforming variable-resolution meshes based on spatially varying adaptation functions. We also present a smooth...

In the same area, the terrain details described by DEM are gradually generalized and primary terrain features are only retained in the coarser-resolution DEM. In this paper, wavelet multiresolution analysis and Radical Law selection principles were combined to model the terrain generalizing processes and derive three different scale-parameter DEMs based on DEM data generated by large-scale digi...

Quad/triangle subdivision unifies triangular and quadrilateral subdivision schemes. Despite its interest, this scheme is rarely used in the multiresolution edition framework, mainly because of the lack of a sufficiently general data structure that allows a simple and efficient implementation of multiresolution meshes built with it. We show in this paper how multiresolution half-edges, defined a...

This paper presents a novel method of unsupervised segmentation for synthetic aperture radar (SAR) images. Firstly, we define a generalized multiresolution likelihood ratio (GMLR), which classifies different kinds of signals more accurately than classical likelihood ratio by fusing more and different signal features. For our SAR image segmentation application, multiresolution stochastic structu...

Frame theory has been the focus of active research for twenty years, both in theory and applications. In this paper, the notion of the bivariate generalized multiresolution structure (BGMS) of subspace 2 2 ( ) L R , which is the generalization of frame multiresolution analysis, is proposed. The biorthogonanality traits on wavelet wraps are researched by using time-frequency analysis approach an...