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=Sketcher SwitchVirtualSpace.png‎}}


<div class="mw-translate-fuzzy">
{{GuiCommand
{{Docnav/it|[[Sketcher_BSplineIncreaseKnotMultiplicity/it|Aumentare la molteplicità di nodi di una BSpline]]|[[Sketcher_SwitchVirtualSpace/it|Spazio virtuale]]|[[Sketcher_Workbench/it|Sketcher]]|IconC=Workbench_Sketcher.svg
|Name=Sketcher BSplineDecreaseKnotMultiplicity
|IconL=Sketcher_BSplineIncreaseKnotMultiplicity.svg
|Workbenches=[[Sketcher Workbench|Sketcher]]
|IconR=Sketcher_SwitchVirtualSpace.svg‎‎}}
|MenuLocation=Sketch → Sketcher B-spline toolsDecrease knot multiplicity
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{{GuiCommand/it
|Name=Sketcher_BSplineDecreaseKnotMultiplicity
|Name/it=Diminuisci la molteplicità
|Workbenches=[[Sketcher Workbench/it|Sketcher]]
|MenuLocation=Sketch → Strumenti B-spline → Diminuisci la molteplicità
|Version=0.17
|Version=0.17
|SeeAlso=[[Sketcher CompCreateBSpline|Create B-spline]]
|SeeAlso=[[Sketcher CompCreateBSpline/it|Crea B-spline]]
}}
}}
</div>

<span id="Description"></span>
==Descrizione==

<div class="mw-translate-fuzzy">
Diminuisce la molteplicità del nodo di curva B-spline (vedere: [https://en.wikipedia.org/wiki/B-spline B-spline]).
</div>


<span id="Usage"></span>
==Description==
==Utilizzo==


<div class="mw-translate-fuzzy">
Decreases the knot multiplicity of a B-spline curve knot (see [https://en.wikipedia.org/wiki/B-spline B-spline]).
# Selezionare un nodo di una B-spline
# Richiamare lo strumento usando uno di questi metodi:
#* Premere il pulsante {{Button|[[File:Sketcher_BSplineDecreaseKnotMultiplicity.svg|16px]] [[Sketcher_BSplineDecreaseKnotMultiplicity/it|Diminuisci la molteplicità]]}} nella barra degli strumenti.
#* Usare la voce {{MenuCommand|Sketch → Strumenti B-spline → [[File:Sketcher_BSplineDecreaseKnotMultiplicity.svg|16px]] Diminuisci la molteplicità}} dal menu principale.
</div>


==Example==
[[File:sketcher_SampleBSplineDecreaseKnotMultiplicity.png]]
{{Caption|B-spline curve showing decreasing knot multiplicity.}}


See [[Sketcher_BSplineIncreaseKnotMultiplicity#Example|Sketcher_BSplineIncreaseKnotMultiplicity]]
==How to use==
# Select a B-spline knot and apply.


==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
{{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=Sketcher SwitchVirtualSpace.png‎}}
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
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

  1. Selezionare un nodo di una B-spline
  2. 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.