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Curve

Curve FreeForm > Fit to Points 
The CurveThroughPt command fits a curve through a selected point objects.
Select points.
Duplicate points will be ignored.
Commandline options  

Degree 
Specifies the degree of the curve (or surface). When drawing a highdegree curve, the output curve will not be the degree you request unless there is at least one more control point than the degree. 
CurveType 
ControlPoint The curve's control points pass through the vertices, points, or control points. InterpolatedThe curve passes through the vertices, points, or control points. 
Knots 
Determines how an interpolated curve is parameterized. When the spacing between the picked points is equal for the whole curve, all three parameterizations generate the same curve. When you draw an interpolated curve, the points you pick are converted into knot values on the curve. The parameterization means how the intervals between knots are chosen. UniformThe knot spacing is always 1 and is not based on the physical spacing of the points. Uniform parameterization can be used if the point spacing is roughly equal and it is desirable to draw several curves that have the same parameterization. This is possible only with uniform curves (unless you rebuild the curves). Uniform guarantees that every control point affects the surface exactly the same way, no matter how much the surface is edited. ChordThe spacing between the picked points is used for the knot spacing. This makes curves that have widely varying point spacing behave better than uniform curves. SqrtChrdThe square root of the spacing between picked points is used for the knot spacing. 
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The CurveThroughSrfControlPt command fits curves through the control points of a surface.
Commandline options  

Degree 
Specifies the degree of the curve (or surface). When drawing a highdegree curve, the output curve will not be the degree you request unless there is at least one more control point than the degree. 
CurveType 
ControlPoint The curve's control points pass through the vertices, points, or control points. InterpolatedThe curve passes through the vertices, points, or control points. 
Direction 
Specify the u, v, or both directions. 
Toggle 
Toggles the direction between u and v. 
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Curve FreeForm > Fit To Polyline Curve Polyline > Fit Through Points 
The CurveThroughPolyline command creates a curve from vertex points of a polyline.
Commandline options  

Degree 
Specifies the degree of the curve (or surface). When drawing a highdegree curve, the output curve will not be the degree you request unless there is at least one more control point than the degree. 
CurveType 
ControlPoint The curve's control points pass through the vertices, points, or control points. InterpolatedThe curve passes through the vertices, points, or control points. 
Knots 
Determines how an interpolated curve is parameterized. When the spacing between the picked points is equal for the whole curve, all three parameterizations generate the same curve. When you draw an interpolated curve, the points you pick are converted into knot values on the curve. The parameterization means how the intervals between knots are chosen. UniformThe knot spacing is always 1 and is not based on the physical spacing of the points. Uniform parameterization can be used if the point spacing is roughly equal and it is desirable to draw several curves that have the same parameterization. This is possible only with uniform curves (unless you rebuild the curves). Uniform guarantees that every control point affects the surface exactly the same way, no matter how much the surface is edited. ChordThe spacing between the picked points is used for the knot spacing. This makes curves that have widely varying point spacing behave better than uniform curves. SqrtChrdThe square root of the spacing between picked points is used for the knot spacing. 
DeleteInput 
YesDeletes the original geometry. NoRetains the original geometry. 
Type subcrv to select part of a curve as input. 
Create curves from other objects
Rhinoceros 7 © 20102023 Robert McNeel & Associates. 28Jun2023