Замена линий на кривые

def get_routes(solution, routing, manager):
 
    """Get vehicle routes from a solution and store them in an array."""
 
    # Get vehicle routes and store them in a two dimensional array whose
 
    # i,j entry is the jth location visited by vehicle i along its route.
 
    routes = []
 
    for route_nbr in range(routing.vehicles()):
 
        index = routing.Start(route_nbr)
 
        route = [manager.IndexToNode(index)]
 
        while not routing.IsEnd(index):
 
            index = solution.Value(routing.NextVar(index))
 
            route.append(manager.IndexToNode(index))
 
        routes.append(route)
 
    return routes[0]
 
 
 
 
 
def draw_routes(nodes, path):
 
    """Takes a set of nodes and a path, and outputs an image of the drawn TSP path"""
 
    tsp_path = []
 
    for location in path:
 
        tsp_path.append(nodes[int(location)])
 
 
 
    original_image = Image.open(ORIGINAL_IMAGE)
 
    width, height = original_image.size
 
 
 
    tsp_image = Image.new("RGBA", (width, height), color='white')
 
    tsp_image_draw = ImageDraw.Draw(tsp_image)
 
    # tsp_image_draw.point(tsp_path,fill='black')
 
    tsp_image_draw.line(tsp_path, fill='black', width=1)
 
    tsp_image = tsp_image.transpose(Image.FLIP_TOP_BOTTOM)
 
    FINAL_IMAGE = IMAGE_TSP.replace("-stipple.tsp", "-tsp.png")
 
    tsp_image.save(FINAL_IMAGE)
 
    print("TSP solution has been drawn and can be viewed at", FINAL_IMAGE)