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Using Rebuild and Change Degree

From: Rhino 4 Essential Training

Video: Using Rebuild and Change Degree

In this video, we'll build our knowledge of curve and surface degree by changing the degree of various entities. As I've mentioned before, the simplest explanation of degree is its smoothness. For proper editing of curves, we'll need a degree of three. For surfaces with their two directions, we require degree of three for each of those two directions. These directions are labeled as U and V by Rhino and are visually represented by the Surface Isocurves you can see when in shaded mode. So, we'll start off by exploring two new commands, Rebuild and Change Degree.

Using Rebuild and Change Degree

In this video, we'll build our knowledge of curve and surface degree by changing the degree of various entities. As I've mentioned before, the simplest explanation of degree is its smoothness. For proper editing of curves, we'll need a degree of three. For surfaces with their two directions, we require degree of three for each of those two directions. These directions are labeled as U and V by Rhino and are visually represented by the Surface Isocurves you can see when in shaded mode. So, we'll start off by exploring two new commands, Rebuild and Change Degree.

When I zoom in on to this degree 1 polycurve that has six control points and we'll select it and these two commands we'll be discussing now are right together. This is Edit > Change Degree. Not too many options here. It just says currently it's degree one and Deformable = No. So, we want to make sure that the new version will be deformable, so we would say Yes, and then I'll type in 3. Hit Enter. Notice the curve change. I'm going to hit the F10 and there is the control points, so it's now a completely degree 3 curve with no kinks. Pretty handy.

Now let's mix it up with the second command we're going to be looking at called Edit > Rebuild. We'll do this on the degree 2 curve. I'm going to select it, go to Edit > Rebuild. Now, I have quite a bit more options. For example, it tells me that the Point count is 19 and the Degree is 2. That's why they are in parenthesis. We can then change either of those. I'm going to just leave it as let's say 12. Degree 3 is okay. You would probably want to delete the input every time.

We don't need the original. That's why we are rebuilding it. And then the Preview option is very handy. It will show us again the Maximum deviation. That's 1.7 and it's occurring in right this position. So, that degree 2 polycurve is now degree 3 and fully editable with a new number of control points. And finally, in a third case, let me select this degree 3 curve. I go to use the command Edit > Rebuild, and you'll notice here that it's got 30 points.

I'm going to cancel out of this and hit F10. You'll see exactly what's going on, and this is pretty bad news. However, this happens fairly often and especially when you get geometry from other software applications, you'll end up with a ridiculous amount of control points here. That's okay. We're going to need to change them, but as long as you remember the general rule, the fewer the points the better. So, make control points off F11, go back to Edit > Rebuild, select the curve, and I'm going to use the same numbers as earlier. Degree three.

That's not changing. It's just the point count that's changing. We'll preview it. Here's your maximum deviation. I'm going to hit OK. Now in these situations-- let me turn the control points back on. If it deviates too much, not a problem. There is always a little bit of tweaking involved. You can push and pull back so that it gets closer to what your wanting, or you can actually delete the control points whenever needed. They can be deleted anytime and the curve just gets a little bit simpler. I'm going to switch over to surfaces.

I have another layer here. I'm going to turn that on and zoom out. When you start off with a common primitive, the sphere. You may not realize this, but it is not degree three by default. In either of the directions. It is degree two and two. And I want to prove this by turning on the control points and just dragging them a little bit, and you can see we have a very sharp seam. I think the reason for this being degree two is it that it's generated internally by Rhino as being an arc that is somehow rotated but so an arc is a degree two curve.

Let's take another sphere I've just built that is also degree two and two by default. Place the Edit > Rebuild command to change the degrees. Okay. We've got now point counts in two directions. Those are represented by the isocurves. I'm not sure which is which. It doesn't really matter. We are going to keep this symmetrical. I'm just going to go with six and six for the point count. Degree in the U and V is three and three. That looks good. Go ahead and say OK, and you notice the isocurve has changed, but the real proof here is turning on the control points.

It really had to seam in the earlier one. I'll nudge these over. We have no seam here. All thanks to degree three. Let's try this again with the Extrude example. Now this is an odd mixture. We've got a surface that is degree 1 and 3. Let's analyze how that could happen. I'm going to select this curve that generated it. Turn on the control points and we can see that's obviously a degree curve there. It's very smooth, but then we extruded it in one direction, which is actually a straight line.

So, that is your degree one in that direction. So, if we wanted to generate maximum editability, we can do a quick rebuild on this as well. I'll select the surface, Edit > Rebuild, and here you see the differences. U and V are 3 and 1. We can change the point count. Let's just add a few more. Take a look, and it's pretty close. I don't see much deviation there. Hit OK, and that should now be a degree three in both directions.

Now you'll notice that edge looks straight and just like the degree one. However, it's degree three and can be completely deformed in any direction. Meaning I can turn on the control points. I can select one or many and just nudge them up, and it should be maintaining perfect smoothness. Okay the final case is a Revolve. This is another unexpected result from a built- in commands with Rhino. Just like the sphere was degree 2 and 2, this ends up being degree 2 and 3.

So, we have a seam. If we turn on the control points, you can already see it. I've pre-deformed it. So, if we move those over, that's a problem. We've got a sharp edge. We get around this by looking for an option in the command for Revolve. So, it's under the Surface menu > Revolve. It's asking for the axis, so this is pretty much the same way we do it. Usually I'm going to stop right here, and this is where people blow right by and forget to check the options. We have the Deformable, and that's something I mentioned earlier.

We are going to select Yes. Now we can select the beginning and ending. I just say FullCircle. The one other option you want to be aware of is the Point count. That's how many increments around. That's defaulting to 10. Let's just try eight. Let's get this selected right on those hyperlinks, type an 8 now. So, we have Deformable = Yes, Point count = 8, just click FullCircle. That will prevent you from having to enter the beginning and ending angles.

Okay it looks pretty much the same. I do see a different number of isocurves. It looks like it's eight as I requested. Let's turn those control points on, and zoom above the top, and a little nudging. And what do you know? It stays perfectly smooth. So, if you didn't notice it before, all NURBS surfaces - no matter how simple or curvy - will have two direction and only two directions.

These can be seen via the surface isocurves, which always cross at 90 degrees, thus confirming the whole two-direction idea. So, whenever converting either a curve or surface to another degree, remember these two commands. Change degree, which will keep the same number of control points, while the Rebuild command provides additional options for modifying the number of control points.

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This video is part of

Image for Rhino 4 Essential Training
Rhino 4 Essential Training

67 video lessons · 16813 viewers

Dave Schultze
Author

 
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  1. 4m 13s
    1. Welcome
      1m 1s
    2. Using the exercise files
      28s
    3. Recommended hardware
      2m 44s
  2. 19m 8s
    1. Understanding the three types of entities: curves, surfaces, and solids
      5m 51s
    2. Comparing Bezier curves, B-splines, and NURBS objects
      3m 35s
    3. Comparing isocurve surfaces and mesh surfaces
      4m 50s
    4. Setting measurement units and tolerance
      4m 52s
  3. 18m 16s
    1. Introducing the viewport
      3m 20s
    2. Using construction planes to anchor model design
      5m 27s
    3. Changing the way a model is viewed using shading modes
      3m 11s
    4. Navigating the viewport with pan, zoom, rotate, and reset controls
      3m 24s
    5. Exploring help options
      2m 54s
  4. 29m 48s
    1. Understanding Rhino's command philosophy
      3m 10s
    2. Using toolbars and docking buttons to a toolbar
      3m 33s
    3. Navigating the geometry menus using a "department store" analogy
      3m 35s
    4. Using the command line and status bar to get feedback
      4m 56s
    5. Modifying the nudge control and setting other preferences
      6m 54s
    6. Using the Properties window
      3m 1s
    7. Opening and saving files
      4m 39s
  5. 14m 24s
    1. Creating basic objects: curves, surfaces, and solids
      4m 22s
    2. Performing basic transformations
      3m 14s
    3. Selecting objects
      3m 37s
    4. Organizing a project using layers
      3m 11s
  6. 21m 18s
    1. Understanding lines and polylines
      4m 10s
    2. Building rectangles and polygons
      5m 12s
    3. Creating arcs, circles, and ellipses
      7m 8s
    4. Drawing freeform curves
      4m 48s
  7. 47m 36s
    1. Comparing different types of 3D surfaces
      7m 11s
    2. Extruding surfaces to create features in a model
      8m 58s
    3. Creating surfaces with lofts
      7m 49s
    4. Using Revolve and Rail Revolve to create surfaces
      7m 42s
    5. Using Sweep Rail to create a 3D claw
      7m 49s
    6. Creating complex surface shapes using Network Surface
      8m 7s
  8. 46m 48s
    1. Introducing solids
      5m 42s
    2. Making solids with primitives
      5m 41s
    3. Extruding curves to create solids without primitives
      8m 59s
    4. Creating unique shapes with the union, difference, and intersection Boolean operators
      6m 46s
    5. Troubleshooting solids and Booleans
      8m 53s
    6. Editing with the solid edit tools
      6m 20s
    7. Creating and transforming holes in solids
      4m 27s
  9. 27m 8s
    1. Understanding Rhino's modeling aids
      3m 59s
    2. Working with the Grid Snap modeling aid
      2m 22s
    3. Using the Ortho modeling aid
      3m 4s
    4. Using the Planar modeling aid
      2m 4s
    5. Incorporating the Osnap modeling aid into your workflow
      6m 7s
    6. Understanding the Project and Smart Track modeling aids
      4m 42s
    7. Setting cursor constraints
      4m 50s
  10. 50m 14s
    1. Editing corners with Fillet and Chamfer
      7m 38s
    2. Trimming and splitting with curve Booleans
      5m 37s
    3. Moving and rotating objects with the Drag and Nudge tools
      7m 24s
    4. Copying and pasting objects
      4m 10s
    5. Understanding how Rhino uses Undo and Redo
      3m 42s
    6. Grouping objects
      3m 21s
    7. Scaling objects
      6m 40s
    8. Duplicating objects using the Mirror command
      6m 36s
    9. Making copies and structured sets using arrays
      5m 6s
  11. 20m 37s
    1. Using the Analysis toolbar to understand characteristics of a model
      6m 14s
    2. Defining degrees of curve and surfaces
      6m 6s
    3. Using Rebuild and Change Degree
      8m 17s
  12. 26m 21s
    1. Measuring and labeling values on a model using dimensioning
      5m 22s
    2. Creating screen captures for quick proofs
      5m 16s
    3. Creating 2D views of a 3D model
      6m 44s
    4. Rendering a project
      8m 59s
  13. 22m 5s
    1. Preparing a model for prototyping by confirming that all gaps are closed
      5m 17s
    2. Using the "shelling" technique to create wall thickness
      10m 54s
    3. Exporting to the STL format for 3D printing
      5m 54s
  14. 14s
    1. Goodbye
      14s

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