This paper introduces a novel paradigm for integrated retrieval and browsing in content-based visual information retrieval systems. The proposed approach uses feature transformations and distance measures for content-based media access and similarity measurement. The first innovation is that distance space is visualised in a 3D user interface: 2D representations of media objects are shown on th...

The distance metric is a key component in RRT-based motion planning that deeply affects coverage of the state space, path quality and planning time. With the goal to speed up planning time, we introduce a learning approach to compute the distance metric for RRT-based planners. By exploiting a novel extend function which solves the two-point boundary value problem for wheeled mobile robots, we t...

In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.

We consider the concept of Ω-distance on a complete partially ordered G-metric space and prove some common fixed point theorems.

The Gromov-Hausdorff distance (dGH) proves to be a useful measure between shapes. In order approximate dGH for X,Y⊂Rd, we look into its relationship with dH,iso, the infimum Hausdorff under Euclidean isometries. As already known dimension d≥2, dH,iso cannot bounded above by constant factor times dGH. For d=1, however, prove that dH,iso≤54dGH. We also show bound is tight. effect, X,Y⊂R at most n...