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Quickcard BezierSpline - English - v1.2

Quickcard BezierSpline - English - v1.2
Quickcard BezierSpline - English - v1.2

B EZIER AND S PLINE

C URVES:

bezierspline.rb v1.2 - Q UICK C ARD

1. Installation

Unzip 'bezierspline.zip' in Plugins directory of Sketchup: it should install the following files:

-bezierspline.rb(main macro)

-LibTraductor.rb (utility to support language translation)

- A BZ_DIR_12 subfolder, which contains extensions, icon files for the toolbar as well as the documentation

Language: by default, language of operating system, if supported, otherwise English

Menus: all Bezier family curves have their menu item in menu 'Draw' (submenu ‘BezierSpline curves’.

Contextual menus: When a curve is selected, the Edit menu is in the contextual menu

Icon toolbar:

IMPORTANT: Before launching, delete all BZ__***.rb files in the Plugins folder.

2. Creation Mode

Drawing mode for entering the control points (default depends on curve type): -Start / End: click on start point, then on End point, then intermediate points

-Open-Ended: click on points in sequential order

Double-Shift allows toggling between modes (before entering 2 points!)

Maximum number of control points: type new number in VCB ex: "43"

Finishing creation mode: Double-click on last point to enter will switch to Edition mode.

Termination options are also available in contextual menu

Undo: Esc will remove last point entered. Double-Esc to cancel all and create a new curve.

Note that Sketchup Undo (Ctrl-Z) will cancel all entries

3. Edition Mode

All actions will be immediately reflected in the drawing

Entering Edition mode: Select curve, and Right-click to show contextual menu

Exiting Edition mode: Double-click anywhere outside the polygon (or options in contextual menu)

Moving control points: Click and drag a point or a segment between 2 points

Adding control points: Double-Click on a segment to create a new control point

Deleting control points: Double-Click on a point to delete it.

Undo: Esc to undo last change. Double-Esc to cancel all changes. Note that Sketchup Undo / Redo (Ctrl-Z) is supported, but can go back beyond initial state.

4. Common to Creation and Edition modes

Plane Lock toggle Ctrl key(filled square mark)for curve plane - press Axis Arrows to force perpendicular plane to selected axis

Axis Lock (Edition mode only): without Plane lock set, toggle Axis Arrows to force move along selected axis – Down Arrow to deactivate.

Precision (if applicable): type new number followed by 's' in VCB ex: "35s"

Extra parameters: press TAB to call the dialog box for additional parameters

Loop toggle: F8to close curve by a segment, F9to close by a 'nice' curve, F7to cancel loop. F8 and F9 are toggle keys. Number of segments of the closure can be changed in the

VCB: type new number followed by 'c' in VCB ex: "14c"

Show curve vertices: F5 toggles display of vertices on the curve

Extra Parameters: TAB, when applicable (for instance for Uniform B-Splines)

5. Curve conversion

Option in contextual menu of a selected curve, but depends on type of curve

Any Sketchup curve can be converted into a Polyline

Polyline can then be converted into Spline curves

6. Supported Curves

6.1. Curves based on Polylines

P OLYLINE

By default, Bezier curve are drawn between two extremity points. The curve shape can be quite different from the polygon of control points. Also, moving one control point can affect the shape of the whole curve.

Note: you can join ‘nicely’ 2 coplanar segments by using a Bezier curve where the middle control point is the intersection of the segments P RECISION: total number of segments of the generated curve

U NIFORM B-S PLINE

Uniform B-Spline curve gives a nice smoothing in general. The Order

parameter allows tuning this smoothing (the higher, the smoother). Order 0

means always the higher order.

.

P RECISION: total number of

segments of the generated curve

6.3. Splines curves passing through the Control Points

C UBIC B EZIER Cubic Bezier curve is a particular spline that can be used to draw a contour passing through a suite of given points. The curve is generated by interpolation between the control points.

When you move a control point, the change is rather local (unlike Classic Bezier).

One drawback is

that the Precision is given as the number of segments between control points, which may quickly increase the total number of segments of the curve.

P RECISION : number of segments between 2 control points C ATMULL -R OM

Catmull-Rom spline is very similar to the Cubic Bezier (though based on a very different algorithm), but a little bit closer to the polygon of control points. So to be used for rounding angles rather than to smooth a complete Polyline.

Catmull-Rom spline have also the property to generate closed loops.

P RECISION : number of segments between 2 control points F-S PLINE This is actually a Uniform B-Spline curve of order 3 that is adjusted to pass through the control points. The general shape of the generated curve is much smoother than Cubic Bezier and Catmull-Rom.

The other advantage

is that the Precision parameter corresponds to the Total number of segments of the generated curve.

P RECISION : total number of segments of the generated curve

C OURBETTE

A Courbette curve is based on arcs of circle joining 3 consecutive points. The main context of usage is when you draw curves that have either a balanced round shape naturally, or that look like spirals (though there are dedicated tools for spiral).

The main downside is that you can obtain unexpected results.

P RECISION : Between 2 control

points, based on the number of

points to draw a full circle.

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