In this paper, we study the hypersurface families with Smarandache curves in 4-dimensional Galilean space G 4 and give conditions for different to be parameter curve which generates is geodesic on a . Also, investigate three types of marching-scale functions one these hypersurfaces construct an example it.

CATEGORIES: (5) Title: Exploration of a Cluttered Environment using Voronoi Transform and Fast Marching Method Authors: • Prof. Santiago Garrido, Robotics Lab., System Engineering and Automation Dept., Carlos III University, Madrid, Spain. e-mail: [email protected] • Prof. Luis Moreno, Robotics Lab., System Engineering and Automation Dept., Carlos III University, Madrid, Spain. e-mail: moren...

In this note we present an implementation of the fast marching algorithm for solving Eikonal equations that reduces the original run-time from O(N logN) to linear. This lower run-time cost is obtained while keeping an error bound of the same order of magnitude as the original algorithm. This improvement is achieved introducing the straight forward untidy priority queue, obtained via a quantizat...

We present a novel technique for texture mapping on arbitrary surfaces with minimal distortions, by preserving the local and global structure of the texture. The recent introduction of the fast marching method on triangulated surfaces [9], made it possible to compute geodesic distances in O(~ n lg ~ n) where ~ n is the number of triangles that represent the surface. We use this method to design...

In this paper, we develop a third order accurate fast marching method for the solution of the eikonal equation in two dimensions. There have been two obstacles to extending the fast marching method to higher orders of accuracy. The first obstacle is that using one-sided difference schemes is unstable for orders of accuracy higher than two. The second obstacle is that the points in the differenc...

The algorithm presented in this paper is comprised of three main stages: (1) classification of the image sequence and, in the case of a moving camera, parametric motion estimation, (2) change detection having as reference a fixed frame, an appropriately selected frame or a displaced frame, and (3) object localization using local colour features. The image sequence classification is based on sta...

Numerical simulations of time-periodic flows are an essential design tool for a wide range of engineered systems, including jet engines, wind turbines and flapping wings. Conventional solvers for time-periodic flows are limited in accuracy and efficiency by the low-order Finite Volume and time-marching methods they typically employ. These methods introduce significant numerical dissipation in t...