splines

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mgeier

The formatting of some equations...

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Regarding section "Non-Uniform Cubic Hermite Splines", section 8, where you derive the derivative.  Why does the 2 get distributed inside the brackets here? Wouldn't it be better written 2C4(t...

ali1234

For example: Huynh, H.T. (1993) ‘Accurate Monotone Cubic Interpolation’, SIAM Journal on Numerical Analysis, 30(1), pp. 57–100. Available at: https://doi.org/10.1137/0730004. Wolberg, G. and Alfy, I. (2002) ‘An energy-minimization framework for...

mgeier

Show Yuksel's circular/elliptic/hybrid C2 interpolating splines

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http://www.cemyuksel.com/research/interpolating_splines/ Cem Yuksel A Class of C2 Interpolating Splines ACM Transactions on Graphics, 39, 5, 2020 https://doi.org/10.1145/3400301

mgeier

Show "Quaternion Cubic Spline" (i.e. "natural")

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See https://qspline.sourceforge.net/ and especially https://qspline.sourceforge.net/qspline.pdf James McEnnan (2003), "Quaternion Cubic Spline"

mgeier

Developed in: G. Nielson and T. Foley. A survey of applications of an affine invariant norm. In T. Lyche and L. Schumaker, editors. Mathematical Methods in CAGD, pages 445-467. Academic...

mgeier

According to Farin (2002), "Curves and Surfaces for CAGD", section 9.5 This should be simple: * create a quadratic curve from the first 3 control points * calculate the tangent...

mgeier

$\nu$-splines Both Euclidean and quaternion. For letter, see: Nielson, G.M. (2004) ‘ν-Quaternion splines for the smooth interpolation of orientations’, IEEE transactions on visualization and computer graphics, 10(2), pp. 224–229.

mgeier

Wang, W. and Joe, B. (1993) ‘Orientation Interpolation in Quaternion Space Using Spherical Biarcs’, in Graphics Interface, pp. 24--32. Available at: http://hdl.handle.net/10722/151799.

mgeier

Describe Akima splines

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https://docs.scipy.org/doc/scipy/reference/generated/scipy.interpolate.Akima1DInterpolator.html

mgeier