A Mobile Computing Framework for Navigation Tasks
Riaz Mohammad, Raafat Ahmed Abdel Azim Mahmoud, Shamsolmolook Aliabady · InTech eBooks · 2008
This chapter has demonstrated that concerns to mobile GIS theory can profitably be addressed in terms of the partition and conquer idea, and influenceability relation. Of particular significance the collision-free path problem in the context of a limited resources mobile GIS environment was addressed. We have demonstrated that concerns to mobile GIS theory can be addressed profitably in terms of the partition and conquer idea. It is based on partitioning space-time into small parts, solving the problem in those small cells and connecting the results with each other to find the final result. The reasons behind are clear. The problems can be solved easier and many things are predictable at a small part of spacetime. Then, a logic-based framework for representing and reasoning about qualitative spatial relations over moving agents in space and time was derived. We provide convincing evidence of the usability of our suggested method by demonstrating how it can provide model for routing and navigation. A mathematical programming formulation has been proposed and simulated by an example to express optimal or near optimal collision-free path under the framework of such partitioning paradigm. One important possible application of suggested methodology as our further work is mobile wayfinding services. It is based on the suggested method because wayfinding is an ordered presentation of the needed information to access an environment. It can be done in small parts as far as reaching to the desired point. A detailed uncertainty modeling for partitioning method and solving inverse problem, i.e., to determine the size and other characteristics of small parts based on the given information about needed precision, resource constraints, etc. are also among our future work.