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Revision as of 17:06, 14 September 2021
Skizzierer BSplineErhöhungsgrad |
Menüeintrag |
---|
Skizze → Skizzierer B-spline Werkzeuge → Grad der B-spline erhöhen |
Arbeitsbereich |
Skizzierer |
Standardtastenkürzel |
Keiner |
Eingeführt in Version |
0.17 |
Siehe auch |
Erstelle B-spline |
Beschreibung
Erhöht den Grad des B-Splines (siehe B-Spline).
B-splines are basically a combination of Bézier curves (nicely explained in this and this video).
In this cubic spline (degree 3) there are 3 segments, meaning 3 curves are connected at 2 knots
(degree is indicated by the number, indication can be changed using the toolbar button Show/hide B-spline degree):
B-spline with degree 3 and 2 knots that each have the multiplicity 1.
The outer segments have each 2 control points, the inner one none to fulfill the constraint that the knots have multiplicity 1. (see this page for an explanation of the multiplicity)
Increasing the degree will add control points and the shape of the spline is not changed:
Same B-spline where the degree was changed from 3 to 4. Note that also the knot multiplicity was increased.
If you take this result and decrease the degree, you cannot get the initial state of the spline information will be lost by this operation. For our example decreasing the degree again leads to this:
Same B-spline where the degree was changed back from 4 to 3. Note that the knot multiplicity was increased. Depending on the spline, the algorithm to decrease the degree may add a lot of knots to preserve the spline shape as happened in this example.
You can see that now each segment has 2 control points and the knots are coincident with each a further control point. The knots have now C0 continuity so that the spline will get "edges" when you move a control point. So the information of a higher continuity is lost. (see this page to for an explanation of the continuity)
Anwendung
- Wähle eine Kante eines existierenden B-Spline und drücke B-spline Grad erhöhen.
(FIXME)
- Die Werkzeuge: Skizze erstellen, Skizze bearbeiten, Skizze verlassen, Skizze anzeigen, View section, Skizze einer Fläche zuordnen..., Reorient sketch, Skizze überprüfen, Skizzen zusammenführen, Skizze spiegeln
- Skizzen-Geometrien: Punkt, Linie, Bögen erstellen, Bogen, Kreisbogen durch drei Punkte, Kreise erstellen, Kreis, Kreis durch drei Punkte, Kegelförmige Körper erstellen, Ellipse mit Mittelpunkt, Ellipse durch drei Punkte, Ellipsenbogen, Hyperbel erstellen, Parabel erstellen, B-splines erstellen, B-spline, Create periodic B-spline, Linienzug (Mehrpunktlinie), Rechteck, Reguläres Polygon erstellen, Dreieck, Quadrat, Fünfeck, Sechseck, Siebeneck, Achteck, Create Regular Polygon, Nut, Abrundung erstellen, Kante zuschneiden, Verlängern, Externe Geometrie, CarbonCopy, Konstruktionsmodus
- Skizzenbeschränkungen
- Geometrische Beschränkungen Koinzidenz erzwingen, Punkt auf Objekt festlegen, Vertikal, Horizontal, Parallel, Orthogonal, Tangente, Gleichheit, Symmetrisch, Constrain Block
- Dimensional constraints Sperren, Horizontaler Abstand, Vertikaler Abstand, Distanz festlegen, Radius festlegen, Winkel festlegen, Snell's Law, Umschalten auf steuernde Bemaßung,
- Sketcher tools Select solver DOFs, Close Shape, Connect Edges, Select Constraints, Select Origin, Select Vertical Axis, Select Horizontal Axis, Select Redundant Constraints, Select Conflicting Constraints, Select Elements Associated with constraints, Show/Hide internal geometry, Symmetry, Clone, Copy, Move, Rectangular Array, Delete All Geometry, Delete All Constraints
- Sketcher B-spline tools Show/Hide B-spline degree, Show/Hide B-spline control polygon, Show/Hide B-spline curvature comb, Show/Hide B-spline knot multiplicity, Convert Geometry to B-spline, Increase degree, Increase knot multiplicity, Decrease knot multiplicity
- Sketcher virtual space Switch Virtual Space
- Erste Schritte
- Installation: Herunterladen, Windows, Linux, Mac, Zusätzlicher Komponenten, Docker, AppImage, Ubuntu Snap
- Grundlagen: Über FreeCAD, Graphische Oberfläche, Mausbedienung, Auswahlmethoden, Objektname, Programmeinstellungen, Arbeitsbereiche, Dokumentstruktur, Objekteigenschaften, Hilf FreeCAD, Spende
- Hilfe: Tutorien, Video Tutorien
- Arbeitsbereiche: Std Base, Arch, Assembly, CAM, Draft, FEM, Inspection, Mesh, OpenSCAD, Part, PartDesign, Points, Reverse Engineering, Robot, Sketcher, Spreadsheet, Surface, TechDraw, Test Framework