Sketcher BSplineDecreaseKnotMultiplicity/it: Difference between revisions
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⚫ | {{Docnav/it|[[Sketcher_BSplineIncreaseKnotMultiplicity/it|Aumentare la molteplicità di nodi di una BSpline]]|[[Sketcher_SwitchVirtualSpace/it|Spazio virtuale]]|[[Sketcher_Workbench/it|Sketcher]]|IconL=Sketcher_BSplineIncreaseKnotMultiplicity.svg|IconC=Workbench_Sketcher.svg|IconR= |
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|Name=Sketcher_BSplineDecreaseKnotMultiplicity |
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|Name/it=Diminuisci la molteplicità |
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|SeeAlso=[[Sketcher CompCreateBSpline| |
|SeeAlso=[[Sketcher CompCreateBSpline/it|Crea B-spline]] |
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<span id="Description"></span> |
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==Descrizione== |
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==Description== |
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==Utilizzo== |
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# Selezionare un nodo di una B-spline |
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# Richiamare lo strumento usando uno di questi metodi: |
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#* Premere il pulsante {{Button|[[File:Sketcher_BSplineDecreaseKnotMultiplicity.svg|16px]] [[Sketcher_BSplineDecreaseKnotMultiplicity/it|Diminuisci la molteplicità]]}} nella barra degli strumenti. |
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#* Usare la voce {{MenuCommand|Sketch → Strumenti B-spline → [[File:Sketcher_BSplineDecreaseKnotMultiplicity.svg|16px]] Diminuisci la molteplicità}} dal menu principale. |
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==Example== |
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[[File:sketcher_SampleBSplineDecreaseKnotMultiplicity.png]] |
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{{Caption|B-spline curve showing decreasing knot multiplicity.}} |
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See [[Sketcher_BSplineIncreaseKnotMultiplicity#Example|Sketcher_BSplineIncreaseKnotMultiplicity]] |
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==How to use== |
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# Select a B-spline knot and apply. |
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==Notes== |
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If you decrease the multiplicity of a knot to zero, the knot vanishes. Mathematically it then appears zero times in the knot vector, meaning there is no longer a basis function. Understanding this requires some math, but it will also be clear if you look at the multiplicity. For example a knot with multiplicity 0 on a B-spline with degree 3 |
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means that at the position of the knot two Bézier pieces are connected with ''C<sup>3</sup>'' continuity. So the third derivative should be equal on both sides of the knot. However for a cubic Bézier curve this means that both sides must be part of the same curve. There is then effectively no longer a knot connecting two Bézier curves. |
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Latest revision as of 07:36, 22 April 2024
Diminuisci la molteplicità |
Posizione nel menu |
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Sketch → Strumenti B-spline → Diminuisci la molteplicità |
Ambiente |
Sketcher |
Avvio veloce |
Nessuno |
Introdotto nella versione |
0.17 |
Vedere anche |
Crea B-spline |
Descrizione
Diminuisce la molteplicità del nodo di curva B-spline (vedere: B-spline).
Utilizzo
- Selezionare un nodo di una B-spline
- Richiamare lo strumento usando uno di questi metodi:
- Premere il pulsante Diminuisci la molteplicità nella barra degli strumenti.
- Usare la voce Sketch → Strumenti B-spline → Diminuisci la molteplicità dal menu principale.
Example
See Sketcher_BSplineIncreaseKnotMultiplicity
Notes
If you decrease the multiplicity of a knot to zero, the knot vanishes. Mathematically it then appears zero times in the knot vector, meaning there is no longer a basis function. Understanding this requires some math, but it will also be clear if you look at the multiplicity. For example a knot with multiplicity 0 on a B-spline with degree 3 means that at the position of the knot two Bézier pieces are connected with C3 continuity. So the third derivative should be equal on both sides of the knot. However for a cubic Bézier curve this means that both sides must be part of the same curve. There is then effectively no longer a knot connecting two Bézier curves.
- General: Create sketch, Edit sketch, Map sketch to face, Reorient sketch, Validate sketch, Merge sketches, Mirror sketch, Leave sketch, View sketch, View section, Toggle grid, Toggle snap, Configure rendering order, Stop operation
- Sketcher geometries: Point, Line, Arc, Arc by 3 points, Circle, Circle by 3 points, Ellipse, Ellipse by 3 points, Arc of ellipse, Arc of hyperbola, Arc of parabola, B-spline by control points, Periodic B-spline by control points, B-spline by knots, Periodic B-spline by knots, Polyline, Rectangle, Centered rectangle, Rounded rectangle, Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Regular polygon, Slot, Fillet, Corner-preserving fillet, Trim, Extend, Split, External geometry, Carbon copy, Toggle construction geometry
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- Geometric constraints: Coincident, Point on object, Vertical, Horizontal, Parallel, Perpendicular, Tangent, Equal, Symmetric, Block
- Dimensional constraints: Lock, Horizontal distance, Vertical distance, Distance, Radius or weight, Diameter, Auto radius/diameter, Angle, Refraction (Snell's law)
- Constraint tools: Toggle driving/reference constraint, Activate/deactivate constraint
- Sketcher tools: Select unconstrained DoF, Select associated constraints, Select associated geometry, Select redundant constraints, Select conflicting constraints, Show/hide internal geometry, Select origin, Select horizontal axis, Select vertical axis, Symmetry, Clone, Copy, Move, Rectangular array, Remove axes alignment, 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, Show/hide B-spline control point weight, Convert geometry to B-spline, Increase B-spline degree, Decrease B-spline degree, Increase knot multiplicity, Decrease knot multiplicity, Insert knot, Join curves
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- Additional: Sketcher Dialog, Preferences, Sketcher scripting
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