The main task is to implement two approaches solving the curvature-constrained Traveling Salesman Problem with neighborhoods.

In the DTSPNSolverDecoupled.plan_tour function implement the decoupled solution for the Dubins TSP with Neighborhoods (DTSPN) with disk-shaped regions.

The decoupled approach comprises the following basic steps

1. Estimate sequence of visits by Euclidean TSP connecting centers of the regions.
2. For each region, sample boundary points and heading angles.
3. Find the shortest feasible tour comprising Dubins maneuvers connecting the regions, where the sequence of visits is estimated from the ETSP.

Notice, the number of heading and position samples is not defined. Your task is also to try various values and submit a code with a reasonable number of samples.

The DTSPNSolverDecoupled.plan_tour function has the following prescription

class DTSPNSolverDecoupled(DTSPNSolver.DTSPNSolver):
 
    ...
 
    def plan_tour(self, goals, sensing_radius, turning_radius):
    """
    Compute a DTSPN tour using the decoupled approach.  
 
    Parameters
    ----------
    goals: list (float, float)
        list of the TSP goal coordinates  
    sensing_radius: float
        neighborhood of TSP goals  
    turning_radius: float
        turning radius for the Dubins vehicle model  
 
    Returns
    -------
    list (float,float,float)
        tour as a list of robot configurations (x,y,phi), each corresponding to a TSP goal
    """
 
    n = len(goals)
    self.distances = np.zeros((n,n))	
    self.paths = {}
    '''
    TODO - homework
        - Compute the distance between the individual goals  
    '''
    print ('TODO distances')
    self.distances = np.ones(self.distances.shape)
 
 
    sequence = self.compute_TSP_sequence()
 
    '''
    TODO - homework
        - Sample the configurations ih the goal areas
        - Find the shortest tour
    '''
    print ('TODO sampling')
    selected_configurations = []
    for a in range(n):
        selected_configurations.append ( ( goals[sequence[a]][0], goals[sequence[a]][1], math.pi ) )
    return selected_configurations

In the DTSPNSolverNoonBean.plan_tour function implement the Noon-Bean trasnform solution for the Dubins TSP with Neighborhoods (DTSPN) with disk-shaped regions.

The Noon-Bean approach comprises the following basic steps

1. For each region, sample boundary points and heading angles.
2. Construct a distance matrix using the Noon-Bean transform ( Lecture 5. Multi-goal (data collection) planning) where the individual regions correspond to the NoonBean's Generalized TSP sets.
3. Find the shortest feasible tour created from Dubins maneuvers by solving the Asymmetric TSP problem characterized by the distance matrix.

Notice, the number of heading and position samples is not defined. Your task is also to try various values and submit a code with a reasonable number of samples.

The DTSPNSolverNoonBean.plan_tour function has the following prescription

class DTSPNSolverNoonBean(DTSPNSolver.DTSPNSolver):
 
    ...
 
    def plan_tour(self, goals, sensing_radius, turning_radius):
        """
        Compute a DTSPN tour using the NoonBean approach.  
 
        Parameters
        ----------
        goals: list (float, float)
            list of the TSP goal coordinates  
        sensing_radius: float
            neighborhood of TSP goals  
        turning_radius: float
            turning radius for the Dubins vehicle model  
 
        Returns
        -------
        list (float,float,float)
            tour as a list of robot configurations (x,y,phi), each corresponding to a TSP goal
        """
 
        n = len(goals)
        self.distances = np.zeros((n,n))	
 
        '''
        TODO - Noon-Bean approach
        '''
 
        print ('TODO - Noon-Bean')
 
        configurations = []
        for goal in goals:
            configurations.append((goal[0],goal[1],math.pi))
 
        return configurations

First, download prepared codes and configuration files. Then, download and compile the LKH solver (implementation of the Lin–Kernighan heuristic algorithm) and the GDIP Dubins library as follows

cd lkh
./install.sh
cd -
 
cd gdip
./install.sh
cd -

https://en.wikipedia.org/wiki/Dubins_path

https://github.com/comrob/gdip