Algorithm (Workflow)

This function, SGbladeofCVL, generates a solid geometry (SG) from a closed vertex list (CVL) representing an almost planar contour. The function is part of the SolidGeometry library and was introduced in version 4.1.

Input Parameters

• CVL: A closed vertex list representing open polygons. It is the primary input for defining the contour.
• sl: Blade thickness, with a default value of 0.3 mm. It can be specified as the second argument.
• ad: Size growing parameter, with a default value of 0. It can be specified as the third argument.

Output

• SG: The solid geometry of a blade generated from the input CVL.

Algorithm Steps

1. Initialize sl to 0.3 mm and ad to 0. If additional arguments are provided, update these values accordingly.
2. Check if the CVL is empty. If it is, return an empty solid and issue a warning.
3. Use the function VLFLofCVLdelaunay2D to compute vertex list (VL) and face list (FL) from the CVL using Delaunay triangulation in 2D.
4. Generate the solid geometry using SGofSurface with the computed VL, FL, blade thickness sl, and size growing ad.
5. If no output is requested, visualize the solid geometry using SGfigure, SGplot, and VLFLplotlight functions. Plot the CVL using CVLplot.

Example Usage

Two examples are provided to demonstrate the function:

• SGbladeofCVL(VLsample(19),3): Generates a solid from a sample vertex list with a blade thickness of 3 mm.
• SGbladeofCVL([VLaddz(PLcircle(10));nan nan nan; VLtransR(VLaddz(PLcircle(5)),rot(0,pi/8,0))],3): Creates a solid from a combination of circles with a specified rotation and a blade thickness of 3 mm.