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CV Curve

Create panel > Shapes button > NURBS Curves > CV Curve button

Tab panels > Shapes tab > NURBS CV Curve

Tab panels > Modeling tab > NURBS CV Curve

CVs shape the control lattice that defines the curve.

CV curves are NURBS curves controlled by control vertices (CVs). The CVs don't lie on the curve. They define a control lattice that encloses the curve. Each CV has a weight that you can adjust to change the curve.

While you're creating a CV curve you can click to create more than one CV at the same location (or close to it), increasing the influence of the CVs in that region of the curve. Creating two coincident CVs sharpens the curvature. Creating three coincident CVs creates an angular corner in the curve. This technique can help you shape the curve; however, if you later move the CVs individually, you lose this effect. (You can also obtain the influence of multiple CVs by fusing CVs.)

A CV curve can be the basis of a full NURBS model.

Drawing Three-Dimensional Curves

When you create a CV curve, you can draw it in three dimensions. There are two ways to do this:

  • Draw In All Viewports: This toggle lets you use any viewport to draw the curve, enabling you to draw three dimensionally.

  • Using CTRL to drag CVs: While you draw a curve, you can use the CTRL key to drag a CV off of the construction plane.

With the CTRL key method, further mouse movement lifts the latest CV off the construction plane. There are two ways to use CTRL:

  • Click-drag. If you hold down CTRL and also hold down the mouse button, you can drag to change the height of the CV. The CV's location is set when you release the mouse button.

    This method is probably more intuitive.

  • Click-click. If you CTRL+click and then release the mouse button, the height changes as you drag the mouse. Clicking the mouse a second time sets the CV's location.

    This method is less prone to repetitive stress injury.

While you are offsetting the CV, a red dotted line is drawn between the original CV on the construction plane and the actual CV offset from the plane. You can move the mouse into an inactive viewport, in which case the software sets the height of the CV using the CV's Z-axis in the inactive viewport. This lets you set the height of the CV with accuracy.

Snaps also work when you change the height of a CV. For example, if you turn on CV snapping, you can set a CV to have the same height as another CV by snapping to that other CV in an inactive viewport.

Procedure

To create a NURBS CV curve:

  1. Go to the Create panel.

  2. Turn on Shapes, and choose NURBS Curves from the drop-down list.

  3. Turn on CV Curve.

  4. In a viewport, click and drag to create the first CV, as well as the first curve segment. Release the mouse to add the second CV. Each subsequent location you click adds a new CV to the curve. Right-click to end curve creation.

    Note: If you begin the curve by clicking without dragging, this also creates the curve's first CV. However, if you release the mouse more than five pixels away from where you initially pressed it, this creates an additional CV.

    While you are creating a CV curve, you can press BACKSPACE to remove the last CV you created, and then previous CVs in reverse order.

    If Draw In All Viewports is on, you can draw in any viewport, creating a 3D curve.

    To lift a CV off the construction plane, use the CTRL key as described earlier in this topic under "Drawing Three-Dimensional Curves."

    As with splines, if you click over the curve's initial CV, a Close Curve dialog is displayed. This dialog asks whether you want the curve to be closed. Click No to keep the curve open or Yes to close the curve. (You can also close a curve when you edit it at the Curve sub-object level.) When a closed curve is displayed at the Curve sub-object level, the initial CV is displayed as a green circle, and a green tick mark indicates the curve's direction.

  5. Adjust the curve's creation parameters.

  6. (Optional.) To add a new NURBS curve sub-object, you can turn off the Start New Shape check box, and then repeat the preceding steps.

Interface

The creation parameters are the same for both point curves and CV curves.

Rendering rollout

Lets you turn on and off the renderability of the curve, specify its thickness in the rendered scene, and apply mapping coordinates.

Render parameters can be animated. For example, you can animate the number of sides.

Viewport—Turn on and set viewport thickness, sides, and angles. Enabled when both Display Render Mesh and Use Viewport Settings are checked.

Renderer—Turn on and set renderer thickness, sides, and angles.

Thickness—Set this to specify the diameter of the viewport or rendered spline. (Spinner value: float, 0.0 to 1.0E30)

A curve and the same curve rendered with thickness

Sides—Sets the number of sides for the spline mesh in the viewports or renderer. For example, a value of 4 will give you a square cross section.

Angle—Adjust the rotational position of the cross-section in the viewports or renderer. For example, if you have a square cross section you can use Angle to position a "flat" side down.

Renderable—When on, the shape is rendered using the specified parameters.

Generate Mapping Coords—Turn this on to apply mapping coordinates. The U coordinate wraps once around the thickness of the spline; the V coordinate is mapped once along the length of the spline. Tiling is achieved using the tiling parameters in the material itself.

Display Render Mesh—Displays the mesh generated by the spline.

Use Viewport Settings—Displays the mesh generated by the Viewport settings.

Keyboard Entry rollout

The Keyboard Entry rollout lets you create a NURBS curve by typing. Use the TAB key to move between the controls in this rollout. To click a button from the keyboard, press ENTER while the button is active.

X, Y, and Z—Let you enter the coordinates of the next CV to add.

Add Point—Adds the CV to the curve.

Weight—Enter a weight for the CV.

Close—Ends creation of the curve and creates a segment between the last CV and the initial CV, to make the curve a closed curve.

Finish—Ends creation of the curve, leaving it open ended.

Create CV Curve rollout

This rollout contains the controls for curve approximation.

Interpolation group

The controls in this group box change the accuracy and kind of curve approximation used to generate and display the curve.

Draw In All Viewports—Lets you use any viewport while you are drawing the curve. This is one way to create a 3D curve. When off, you must finish drawing the curve in the viewport where you began it. Default=On.

While Draw In All Viewports is on, you can also use snaps in any viewport.

Automatic Reparameterization group

The controls in this group box let you specify automatic reparameterization. They are similar to the controls in the Reparameterize dialog, with one addition: all choices except for None tell the software to reparameterize the curve automatically; that is, whenever you edit it by moving CVs, refining, and so on.

None—Do not reparameterize automatically.

Chord Length—Chooses the chord-length algorithm for reparameterization.

Chord-length reparameterization spaces knots (in parameter space) based on the square root of the length of each curve segment.

Chord-length reparameterization is usually the best choice.

Uniform—Spaces the knots uniformly.

A uniform knot vector has the advantage that the curve or surface changes only locally when you edit it. With the other two forms of parameterization, moving any CV can change the entire sub-object.


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