Algorithm (Workflow)

This function, camofVLFLfi, is designed to visualize a specific facet of a 3D object for inspection. It is part of the SolidGeometry library and was introduced in version 5.1. The function takes in a vertex list, a facet list, and optionally a facet index and a grow-around factor.

Input Parameters

• VL: Vertex list - a matrix where each row represents the coordinates of a vertex in 3D space.
• FL: Facet list - a matrix where each row contains indices of vertices that form a facet.
• fi: Facet index - an optional parameter specifying the index of the facet to inspect. If not provided, the function will loop through all facets.
• gf: Grow-around factor - an optional parameter with a default value of 10, used to adjust the zoom level around the facet.

Algorithm Steps

1. Initialize the structure SG with the vertex list VL and facet list FL.
2. Retrieve the facet index fi and grow-around factor gf from the input parameters using getfuncparams.
3. If fi is empty, loop through all facets with a step size of 2, calling camofVLFLfi recursively for each facet, and pause briefly between iterations.
4. Calculate the mean position P of the vertices forming the specified facet.
5. Compute the average normal vector ez of the facet using VLFLfaceNormal. If the normal is invalid, default to [0 0 1].
6. Ensure P is a 3D point by appending a zero if necessary.
7. Generate a transformation matrix T using TofPez and apply a small rotation with TofR.
8. Apply the transformation T using camofT.
9. Zoom into the facet using zoomVL with the specified grow-around factor gf.

Example Usage

To visualize a specific facet of a sphere:

SGsphere(10); 
SG = ans; 
camofVLFLfi(SG.VL, SG.FL, 1000);

To visualize with a custom grow-around factor:

SGsphere(10); 
SG = ans; 
camofVLFLfi(SG.VL, SG.FL, 1000, 30);