This chapter contains sections titled:
Dubins Paths
Designing Dubins Paths using Analytical Geometry
Existence of Dubins Paths
Length of Dubins Path
Design of Dubins Paths using Principles of Differential Geometry
Paths of Continuous Curvature
Producing Flyable Clothoid Paths
Producing Flyable Pythagorean Hodograph Paths (2D)
References
Path Planning in Two Dimensions
19.11.2010
35 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
shortest route in graph ‐ the travelling salesman problem (TSP) and the Chinese postman problem (CPP) , block diagram of path planner ‐ generating shortest flyable paths , Dubins and clothoid, two path formats ‐ from arc and straight‐line segments , path planning in two dimensions ‐ limited curvature or turn radius constraints , Dubins paths with constant‐curvature arcs ‐ clothoid paths and Pythagorean hodograph (PH) paths , flyable path design ‐ using 2D PH curve , flyable path design ‐ polynomial curves, lines and arcs computing paths , Pythagorean condition, sum of squares of sides of right‐angled triangle ‐ equal to square of its hypotenuse , algorithms for design of shortest routes ‐ computational geometry, operations research and logistics , Dubins path design ‐ and principles of differential geometry
Path Planning in Three Dimensions
Wiley | 2010
|PATH PLANNING DEVICE, PATH PLANNING METHOD, AND PATH PLANNING PROGRAM
Europäisches Patentamt | 2021
|