Creating 3D Surfaces in .NET

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23 Creating 3D Surfaces
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Figure 23-11: The completed hexagonal night table
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Creating Polygon Meshes with 3DMESH
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The 3DMESH command creates polygon meshes (not to be confused with the polyface meshes created by PFACE). The 3DMESH command is used for creating irregular surfaces, vertex by vertex. The great advantage of polygon meshes is that AutoCAD considers them to be polylines and they can therefore be edited with the PEDIT command although in a limited manner. Figure 23-12 shows two surfaces created with 3DMESH. The surface on the right has been smoothed using PEDIT.
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Figure 23-12: Two surfaces created with 3DMESH. The surface on the right has been smoothed using the Smooth option of PEDIT.
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To use 3DMESH, choose 3D Mesh from the Surfaces toolbar. AutoCAD then asks you for the Mesh M size and Mesh N size. M is the number of vertices going in the first direction. N is the number of vertices going in the other direction. Figure 23-13 shows a 3D Mesh with an M size of 5 and an N size of 3.
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(3,2) (1,2) (2,2) (0,2) 3 N=3 (0,1) 2 1 (1,1) (2,1) (1,0) 2 M=5 3 (2,0) (3,0) 4 (3,1) (4,2) (4,1) (4,0) 5
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Figure 23-13: A 3D Mesh with an M size of 5 and an N size of 3, showing the vertex designations
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Once you set the size of the 3D Mesh, you need to specify each vertex. For example, the 3D Mesh in Figure 23-13 has 15 vertices that you need to specify. AutoCAD prompts you for each vertex in order, starting with (0,0). Vertex (0,1) is the second vertex in the first column. Vertex (1,0) is the first vertex in the second column, starting from the bottom. It s a little confusing because AutoCAD starts the counting from zero (0), not 1. For the 3D Mesh in Figure 23-13, the last vertex is (4,2).
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In Figure 23-13, the 3D Mesh is five vertices wide and three vertices high as you look at it in plan view. However, you do not have to specify the vertices in the same direction. For the 3D mesh in the figure, I started at the bottom left, continued to move up for (0,1) and (0,2), then moved to the right. However, you could start at the bottom left and move to the right for (0,1) and (0,2), and then go back to the left either above or below (0,0) resulting in a 3D mesh that is three vertices wide and five vertices high as you look at it in plan view. In other words, M and N can be in any direction, which is appropriate for a 3D surface.
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3D meshes are especially suitable for AutoLISP routines; in fact, AutoCAD supplies several. These are discussed in the next section. To smooth a polygon mesh, start the PEDIT command and select the polygon mesh. AutoCAD responds with the Enter an option [Edit vertex/Smooth surface/ Desmooth/Mclose/Nclose/Undo]: prompt. Table 23-1 explains how to use these options.
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23 Creating 3D Surfaces
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Table 23-1 PEDIT Options for 3D Polygon Meshes
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Option Edit vertex Description Displays the Current vertex (0,0). Enter an option [Next/Previous/Left/Right/Up/Down/Move/REgen/eXit] >: prompt. Use the Next, Previous, Left, Right, Up, and Down suboptions to move the X marker that displays the current vertex. When you are at the vertex you want to move, use the Move suboption. REgen regenerates the 3D mesh. Use eXit to return to the original prompt. Smoothes the surface according to one of three possible sets of equations Quadratic, Cubic, or B zier. B zier results in the smoothest surface. Use the SURFTYPE system variable to set the type of smoothing. Set SURFTYPE to 5 to create a quadratic b-spline surface, 6 to create a cubic b-spline surface, or 7 to create a B zier surface. Cubic (6) is the default setting. To smooth a 3D Mesh, there must be more than three vertices in both the M and N directions. Removes the smoothing on the 3D mesh surface. Closes the surface in the M direction by connecting the last edge to the first edge. Closes the surface in the N direction by connecting the last edge to the first edge. Undoes the last option.
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