This ruler will help you draw precise, great looking curves between two points. This type of curve is called a Cubic Bezier curve, and is defined by two outer points connected to two independent control points.
The control points define tangents to the curve at the outer points. These tangents are visually extended so that you can align them easily with other lines or curve segments. You can rotate and scale them by using the green and yellow control points. The center control point allows you to change the shape of the curve without changing the two outer points.
If you want to draw simpler curves, be sure to check out the Quadratic Bezier ruler!
Once you've defined a curve you like by setting the control points, you can draw along this curve. You can also draw offset curves by starting from any position not on the main control curve.
These offset curves (also known as parallel curves) try to keep the same normal distance to the control curve at all points. Interestingly, the parallel curve of a bezier curve is itself not a bezier, and you will notice that some offsets have self-intersections and cusps.
Click the Auto Fit button (or use the keyboard shortcut), draw a curve, and the control points will be automatically set so that the curve matches your drawing as close as possible. This is a great way to save time, as it allows you to quickly get a good approximation, and then fine tune it before drawing the final perfect curve.
The 4-Point Fit function will help you setup your curve by clicking on where you want the start, two middle (t=0.25 and t=0.75), and end points to be.
The outer control points have different behaviors depending on what key you are holding down while dragging them:
|No Key||Move the control point.|
|Shift||Scale the entire curve against the opposite control point.|
|Control||Move the entire curve.|
|Alt||Rotate the curve around the opposite control point.
Pressing Alt will also flip the control points around the tangents so that they don't get in the way if you want to draw on that side.
When this ruler is active, the "dn" scripting input variable is connected to the current normalized position on the bezier curve. One great way to use this is to connect it to the output pressure to get perfect pressure gradients. The "bezier auto pressure" script mode (in the pressure section) does exactly this.
Lazy Nezumi is a trademark of Guillaume Stordeur. Adobe, Photoshop and Flash are trademarks of Adobe Systems Inc. ZBrush is a trademark of Pixologic Inc. Windows is a trademark of Microsoft Corp. Apple and Mac are trademarks of Apple Inc.