Hi Jay,

Creating a boundary that is a certain distance away from a given path on a map involves a process known as buffering. Buffering generates a new set of points that are a specified distance away from the original points, effectively creating a "buffer" around the original path. In geographic coordinate systems, this process takes into account the curvature of the Earth, as distances between points are not linear like they are in Cartesian coordinates.

For your specific case with MATLAB, while there isn't a direct geobuffer function similar to the buffer function for Cartesian coordinates, you can achieve a similar effect by using geographic calculations. Here's a method to create a buffer around your path using geographic coordinates:

Step 1: Convert to Geographic Coordinates

Ensure your latitude and longitude coordinates are in a format that can be used for geographic calculations. Your coordinates are already in the correct format.

Step 2: Calculate Buffer Points

To calculate the buffer points, you can use the referenceEllipsoid object along with functions like geodetic2enu and enu2geodetic to convert between geodetic and local east-north-up (ENU) coordinates. This allows you to perform the buffer calculation in a planar space that more closely approximates the Earth's surface locally.

Here's a conceptual approach:

- Set Up Reference Ellipsoid: This represents the Earth's shape and size.

ellipsoid = referenceEllipsoid('wgs84');

2. Calculate Buffer in ENU Coordinates:

For each point along your path, convert it to ENU coordinates, calculate the buffer points in ENU space, and then convert those points back to geodetic coordinates. This involves iterating over your path, applying an offset in the easting and northing directions, and then converting back.

Here's a simplified example for one point (this needs to be done in a loop for all points):

[e, n, u] = geodetic2enu(Latitude, Longitude, zeros(size(Latitude)), lat0, lon0, h0, ellipsoid);

[latBuffered, lonBuffered] = enu2geodetic(e_buffered, n_buffered, u, lat0, lon0, h0, ellipsoid);

Step 3: Plotting the Buffer

After calculating the buffered points, you can plot them similarly to how you plotted the original path:

geoplot(latBuffered, lonBuffered, 'r');

geoplot(Latitude, Longitude, 'b');

Considerations:

- Accuracy: This approach simplifies the problem by treating the buffer as a constant offset in the ENU coordinate system. For small distances (like 10 meters), this approximation is usually acceptable, but accuracy decreases with larger distances or near the poles.
- Path Complexity: For complex paths, especially those that cross themselves or have sharp turns, a more sophisticated approach might be needed to ensure the buffer does not overlap itself inappropriately.
- Looping Through Points: The example provided focuses on a single point for clarity. In practice, you would loop through your coordinates, applying the buffering process to each point. Additionally, you might need to generate points along the path between your original points to ensure the buffered path maintains a consistent distance from the original path.

This method requires a bit of manual work and understanding of geographic coordinate systems, but it's a robust way to create a buffered path for geographic data in MATLAB.