Questions tagged [curves]

For questions about or involving curves.

1,840 questions
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Understanding Bezier Curves vs. Circular/Elliptical/Other Arcs

From what I've read, you cannot construct an elliptical or circular arc with a single bezier curve (though I read maybe you can if the arc is less than 1/4 of a circle or something small like that, or ...
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Parametrization for the figure '8' curve? [closed]

Is there a parametrization for the figure '8' curve, which is self-intersected?
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Tangent line to a 3D curve at a given 3D point

I'm trying to compute tangent vector(x,y,z) to a 3D curve(start x1,y1,z1 end x2,y2,z2) at a point (x0,y0,z0). Can anyone tell if this information is sufficient to calculate the tangent vector? If yes ...
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Space filling curves: Hilbert vs Peano

It seems that both the Peano's and Hilbert's space filling curve are same in nature. What is the basic difference between them?
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Some doubt regarding space filling curve.

Peano's idea was to define a sequence of curves that visit ever more points than the previous. Hence the limiting curve will visit a dense set of points in the square. My doubt: we need to show that ...
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Looking for a sine curve with custom midpoint

For a signal generating software, I'm looking for a function that generates a sine-based curve but with a shifted midpoint. Usually, a sine curve looks like this: ...
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Drawing De Boor's algorithm

Assume we have 4 control points $[c_0, c_1, c_2, c_3]$ and uniform knot sequence $[0,1,2,3]$ If we were to draw an quadratic bezier we would be forced to use only 3 of the control points and then we ...
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Angle of the slope of an ellipse

Find the relation between the angle made by a straight line connecting the origin and an ellipse (angle made between that line and the x axis) and the slope of the tangent to the ellipse. This should ...
I'm having a hard time figuring this out. I'm asked to find the the equations of the horizontal lines to the curve of $$y=x^3-3x+1$$ I set the derivative equal to zero and solve for x, to find the ...