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Check vehicle costmap for occupied poses or points


The checkOccupied function checks whether vehicle poses or points are occupied by obstacles on the vehicle costmap. Path planning algorithms use checkOccupied to check whether candidate vehicle poses along a path are navigable.

To simplify the collision check for a vehicle pose, vehicleCostmap inflates obstacles according to the vehicle's InflationRadius, as specified by the CollisionChecker property of the costmap. The collision checker calculates the inflation radius by enclosing the vehicle in a set of overlapping circles of radius R, where the centers of these circles lie along the longitudinal axis of the vehicle. The inflation radius is the minimum R needed to fully enclose the vehicle in these circles. A vehicle pose is collision-free when none of the centers of these circles lie on an inflated grid cell. For more details, see the algorithm on the vehicleCostmap reference page.


occ = checkOccupied(costmap,vehiclePoses) checks whether the vehicle poses are occupied.

occ = checkOccupied(costmap,xyPoints) checks whether (x, y) points in xyPoints are occupied.

occMat = checkOccupied(costmap) returns a logical matrix that indicates whether each cell of the costmap is occupied.


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Load a costmap from a parking lot.

data = load('parkingLotCostmap.mat');
parkMap = data.parkingLotCostmap;

Create vehicle poses following a straight-line path. x and y are the (x,y) coordinates of the rear axle of the vehicle. theta is the angle of the rear axle with respect to the x-axis. Note that the dimensions of the vehicle are stored in the vehicleDimensions property of the costmap, and that there is an offset between the rear axle of the vehicle and its center.

x = 6:0.25:10;
y = repmat(5,size(x));
theta = zeros(size(x));
vehiclePoses = [x',y',theta'];
hold on

Figure contains an axes. The axes contains 3 objects of type image, patch, line. This object represents Inflated Areas.

Check if the poses are occupied.

occ = checkOccupied(parkMap,vehiclePoses)
occ = 17x1 logical array


The vehicle poses are occupied beginning with the sixth pose. In other words, the center of the vehicle in the sixth pose lies within the inflation radius of an occupied grid cell.

Input Arguments

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Costmap, specified as a vehicleCostmap object.

Vehicle poses, specified as an m-by-3 matrix of [x, y, Θ] vectors. m is the number of poses.

x and y specify the location of the vehicle in world units, such as meters. This location is the center of the rear axle of the vehicle.

Θ specifies the orientation angle of the vehicle in degrees with respect to the x-axis. Θ is positive in the clockwise direction.

Example: [3.4 2.6 0] specifies a vehicle with the center of the rear axle at (3.4, 2.6) and an orientation angle of 0 degrees.

Points, specified as an M-by-2 real-valued matrix that represents the (x, y) coordinates of M points.

Example: [3.4 2.6] specifies a single point at (3.4, 2.6)

Example: [3 2;3 3;4 7] specifies three points: (3, 2), (3, 3), and (4, 7)

Output Arguments

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Vehicle pose or point is occupied, returned as an M-by-1 logical vector. An element of occ is 1 (true) when the corresponding vehicle pose in vehiclePoses or planar point in xyPoints is occupied.

Costmap cell is occupied, returned as a logical matrix of the same size as the costmap grid. This size is specified by the MapSize property of the costmap. An element of occMat is 1 (true) when the corresponding cell in costmap is occupied.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Introduced in R2018a