Functional Data Analysis is a relatively new branch in Statistics. Experiments where a complete function is observed for each individual give rise to functional data. In this work we focus on the case of functional data presenting spatial dependence. The three classic types of spatial data structures (geostatistical data, point patterns and areal data) can be combined with functional data as it...

Engineering analysis often involves the accurate numerical solution of boundary value problems in discrete form. Hierarchical quadtree (or octree) grid generation offers an efficient method for the spatial discretisation of arbitrary-shaped two- (or three-) dimensional domains. It consists of recursive algebraic splitting of sub-domains into quadrants (or cubes), leading to an ordered hierarchi...

We present a data structure used to represent planar spatial databases in the topological data model. Conceptually, such databases consist of points, lines between these points, and areas formed by these lines. The data structure has the distinctive feature that it is geared toward supporting queries involving topological properties of the database only: two databases that are topologically equ...

Analysis of range queries on spatial (multidimensional) data is both important and challenging. Most previous analysis attempts have made certain simplifying assumptions about the datasets and/or queries to keep the analysis tractable. As a result, they may not be universally applicable. This paper proposes a set of five analysis techniques to estimate the selectivity and number of index nodes ...

three-dimensional surface geometry of rock discontinuities and its evolution with shearing are of great importance in understanding the deformability and hydro-mechanical behavior of rock masses. in the present research, surfaces of three natural rock fractures were digitized and studied before and after the direct shear test. the variography analysis of the surfaces indicated a strong non-line...

This paper addresses the problem of qualitative spatial reasoning and presents eecient algorithms to deal it. We assume a representation which views space as a totality of objects surrounded by a haze area and connected in terms of qualitative spatial relations. Statements relating objects in this represesentation are expressed in terms of haze-order constraints. Reasoning about haze-orders inv...

Despite the attention that spatial relations have attracted in domains such as Spatial Query Languages, Image and Multimedia Databases, Reasoning and Geographic Applications, they have not been extensively applied in spatial access methods. This paper is concerned with the retrieval of topological and direction relations using spatial data structures based on Minimum Bounding Rectangles. We des...

Hyperspectral anomaly detection is one of the main challenging topics in both military and civilian fields. The spectral information contained in a hyperspectral cube provides a high ability for anomaly detection. In addition, the costly spatial information of adjacent pixels such as texture can also improve the discrimination between anomalous targets and background. Most studies miss the wort...