Visualization of General Defined Space Data

John R Rankin La Trobe University, Australia 

Abstract 

A new algorithm is presented which determines the dimensionality and signature of a measured space. The algorithm generalizes the Map Maker’s algorithm from 2D to n dimensions and works the same for 2D measured spaces as the Map Maker’s algorithm but with better efficiency. The difficulty of generalizing the geometric approach of the Map Maker’s algorithm from 2D to 3D and then to higher dimensions is avoided by using this new approach. The new algorithm preserves all distances of the distance matrix and also leads to a method for building the curved space as a subset of the N-1 dimensional embedding space. This algorithm has direct application to Scientific Visualization for data viewing and searching based on Computational Geometry. 

Categories and Subject Descriptors: 

I.3.3 Viewing algorithms, I.3.5 Computational Geometry and Object Modelling

More Details : http://airccse.org/journal/ijcga/papers/3413ijcga02.pdf