Multi-dimensional parameter-space partitioning of spatio-temporal simulation ensembles

Multi - Dimensional Modal Logi as a Framework for Spatio - Temporal

Spatio-temporal Reasoning Using a Multi-dimensional Tesseral Representation

A versatile and universally applicable quantitative multi-dimensional reasoning mechanism founded on a unique linear tesseral representation of space is described. The reasoning mechanism is based on a constraint satisfaction mechanism supported by a heuris-tically guided constraint selection strategy. The mechanism has been incorporated into a spatio-temporal reasoning system, the SPARTA (SPAt...

Tesseral spatio-temporal reasoning for multi-dimensional data

1 SUMMARY A quantitative spatio-temporal reasoning mechanism founded on a tesseral representation of space is described. The principal advantages of this mechanism are that it is generally applicable to any N-dimensional space while at the same time providing for eeective manipulation and comparison of objects located within such spaces. These advantages are a direct consequence of the derived ...

Linear Spatio-Temporal Scale-Space

This article shows how a linear scale-space formulation previously expressed for spatial domains extends to spatio-temporal data. Starting from the main assumptions that: (i) the scale-space should be generated by convolution with a semi-group of filter kernels and that (ii) local extrema must not be enhanced when the scale parameter increases, a complete taxonomy is given of the linear scale-s...

BRep-Index: A Multi-Dimensional Space Partitioning Tree

In this paper we introduce the brep-index, a new multi-dimensional space partitioning data structure that provides quick access to the vertices, edges and faces of a boundary representation (brep), thus yielding a single unified representation for polyhedral solids. We d~cribe the cortStruction of the brep-index and show that its size is O(v +e + f), where VI €I and J are the number of vertices...