Algorithm (Workflow)

This function, CPLofPLgrow, is designed to create closed polygon lists (CPL) by generating circles around each point in a given point list (PL) with a specified radius (R).

Input Parameters

• PL: A point list represented as an n x 2 matrix, where each row corresponds to a point in 2D space.
• R: A scalar value representing the radius of the circles to be created around each point in the list.

Output

• CPL: A closed polygon list that represents the union of circles created around each point in the input list.

Algorithm Steps

1. Check if the input point list PL is empty. If it is, return an empty list CPL and exit the function.
2. Use the polybuffer function to create a buffer around the points in PL. The buffer is created with the specified radius R and the type 'points', which indicates that circles are to be created around each point.
3. Extract the vertices of the resulting polygon from the buffer object ps and assign them to CPL.
4. If no output argument is specified (i.e., nargout==0), plot the results:
   • Use SGfigure to create a new figure window.
   • Plot the closed polygon list CPL using CPLplot with a green line style ('g-').
   • Plot the original point list PL using PLplot with red dots ('r.').

Example Usage

• CPLofPLgrow(PLstar(10),1): Creates a CPL with circles of radius 1 around points generated by PLstar(10).
• CPLofPLgrow(PLstar(10),2): Similar to the above, but with a radius of 2.
• CPLofPLgrow([PLstar(10);nan nan;PLstar(5)],1): Creates a CPL with circles of radius 1 around points from two separate point lists, PLstar(10) and PLstar(5), separated by nan values.