─This paper considers a number of properties of space-time covariance functions and how these relate to the spatialtemporal interactions of the process. The processing of five temporal series is presented to show the difficulties to determine and visualize recognized space of object states. This work is focused on the temporal GIS that will be able to examine human activities under various cons...

This habilitation thesis deals with the broad topic of robot navigation and with its foundations in spatial modeling, scene understanding, and action generation. Robot navigation is the process of autonomously making a sequence of decisions that allows a mobile robot to travel robustly to selected locations in the environment. This ability involves a large set of problems that need to be solved...

This work considers the problem of modeling visco-elastically coupled rigid bodies, with application to modeling and computer simulation of spatial, flexural mechanisms. Two modeling methods are presented, both of which use elements of screw theory and dual number calculus. The potential utility of the methods is demonstrated by simulating the behavior of a complex spatial, flexural mechanism. ...

DEFINITION “Spatial databases” consist of large groups of data structured in a way to represent the geographic features of interest to the users of a system. Spatial database models are schematic representations of these data. Database models are created to design and document the system, to facilitate communication and to support programming. They are created using CASE tools (computer-assiste...

We develop and evaluate a novel 3D computational bone framework, which is capable of enabling quantitative assessment of bone micro-architecture, bone mineral density and fracture risks. Our model for bone mineral is developed and its parameters are estimated from imaging data obtained with dual energy x-ray absorptiometry and x-ray imaging methods. Using these parameters, we propose a proper 3...

We derive a class of matrix valued covariance functions where the direct and crosscovariance functions are Matérn. The parameters of the Matérn class are allowed to vary with location, yielding local variances, local ranges, local geometric anisotropies and local smoothnesses. We discuss inclusion of a nonconstant cross-correlation coefficient and a valid approximation. Estimation utilizes kern...