This paper presents a new method for filtering noise occurring in point cloud sampled data. The method smoothes the data set whereas preserves sharp features. We propose a new weighted variant of the principal component analysis method, which instead of using exponential weighting factors inversely proportional to the Euclidean distance to the mean, which is computationally expensive, uses weig...

We propose a method for supporting query refinement using topical term clusters. First, we propose a new term weighting method that can extract terms strongly related to a specific topic, because a document set retrieved with an ambiguous query may include divergent topics. Our formulation of term weighting is based on the statistics of term co-occurrence. Then, we generate term clusters using ...

1. Abstract While various multiobjective optimization methods based on metaheuristic techniques have been proposed, these methods still encounter difficulties when handling many variables, or numerous objectives and constraints. This paper proposes a new aggregative gradient-based multiobjective optimization method for obtaining a Pareto-optimal solution set. In this method, the objective funct...

Important Note: This document represents the notes I have taken during the Point Set Topology lectures of Dr. Vladimir Uspenskiy during the Fall 2013 term at Ohio University. As such, while I have done my best, I make no guarantees (or even implications) that everything contained therein is accurate or complete. While the material is obviously not my original work, this document is and as such ...

Practical needs in the realm of Geographic Information Systems (GISs) have driven the efforts to investigate formal and sound methods to describe spatial relations. After an introduction of the basic ideas and notions of topology, a novel theory of topological spatial relations between sets is developed in which the relations are defined in terms of the intersections of the boundaries and inter...