WEEKLY ACTIVITIES

Optimization approaches for computing geometric shortest paths (cont.)
Speaker: Phan Thanh An

Time: 14h15, Thursday, March 31, 2016
Location: Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract:

The talk includes the following parts:
Part 1: Introduction
1.1 Computing geometric shortest paths and related problems
1.2 An exact method for computational geometry: the method of orienting curves (MOC)
1.3 An approximate method for computational geometry: the method
of multiple shooting (MMS)

Part 2: Overview: Convexity and Geometric Shortest Path Problem
2.1 Convex sets
2.2 Relations between convexity and geometric shortest path problem

Part 3: Geodesic Convex Sets in Simple Polygons in 2D
3.1 Geodesic convex sets and geodesic convex hulls
3.2 Some computational aspects of geodesic convex sets and convex hulls
3.3 Blaschke-type theorem for geodesic convex sets

Part 4: Convex Hull of a Finite Set of Points
4.1 MOC for computing the convex hull of a finite planar point set
4.2 Restricted area technique for 3D convex hulls
4.3 Restricted area technique for Delaunay triangulation

Part 5: Exact Solution for Minimizing a Sum of Euclidean Norms

Part 6:  Exact Shortest Paths along a Sequence of Triangles in 3D

Part 7: Approximate Shortest Paths in Some Closed Regions
7.1 Approximate shortest paths in simple polygons
7.2 Approximate shortest paths on convex polytopes
7.3 Approximate shortest descending paths on convex terrains

 

Back

New Scientiffic Publications