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binary search

implement binary search for the breakpoint search!

use this in the waypoint/ polyline module, compare the speedup

waypoint-based C1-"curve"

My motivation:

  • use the C1 curve and other additional mission-specific heuristics for trajectory generation, which should be very useful for a variety of motion planning problems under unknown/ partially known environments/ active exploration.
  • specifically, for choosing the final "goal point" (more generally, terminal state) --- instead of just choosing the "next" waypoint.
    (which may complicate the design of the trajectory generator, especially when the "inter-distance" between waypoint is varying.)

must-have:

  • arc length parametrization
  • possibility of adding waypoints in an online fashion
  • standard interfaces for calculating the position and unit tangent vectors
  • the said interfaces shall include "is_extrapolated" flag!!!
  • we focus on 2D workspace but at the same time leave room for the possible extension to 3D.

should-have

  • one-time indexing of the arc-length parameters for fast computation
    (associate each node with
  • possibility of "projecting" a given point in

some inspirations

https://github.com/tud-cor/trajectories/blob/master/Path.cpp

consider also RViz visualization (add-on)
http://wiki.ros.org/navigation/Tutorials/Using%20rviz%20with%20the%20Navigation%20Stack

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