Algorithm (Workflow)

This function, FLofCVLneigborpoints, is designed to create a list of facets from a given list of 3D points, referred to as CVL. The function is part of the SolidGeometry library and was introduced in version 5.3. It is used to close a 3D contour by connecting three successive points to form a facet.

Input Parameters

• CVL: A list of 3D points. Each point is represented as a row in the matrix, and the matrix has dimensions n x 3, where n is the number of points.

Output Results

• FL: A list of facets. Each facet is represented by three indices corresponding to three successive points in the CVL list. The indices are arranged in a cyclic manner to ensure the contour is closed.

Algorithm Steps

1. Determine the number of points, n, in the CVL list using size(CVL,1).
2. Create the facet list, FL, using the mod1 function to handle cyclic indexing. The mod1 function ensures that the indices wrap around, effectively closing the contour.
3. The FL list is constructed by combining three successive points: [i-1, i, i+1], where i is the current index.
4. If no output is requested (nargout==0), the function will plot the contour using SGfigure and VLFLplot with a green color ('g').

Example Usage

The function can be used with a circular point list generated by PLcircle(1) as shown in the example:

FLofCVL(PLcircle(1))
FLofCVLneigborpoints(PLcircle(1))

This will generate and optionally plot the facets of the circular contour.