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Thread: Hermite Curves

  1. #1
    Junior Member Newbie
    Join Date
    Jan 2001
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    29

    Hermite Curves

    Is there a "universal" equation/matrix/algorithm for a Hermite curve of any order? Like, Bezier curves have the DeCastlejau algorithm, and Pascal-Triangle stuff. Do Hermites have anything similar? Because I can solve for one, it will just take a lot of time... and I don't wanna waste my time with something that might already exist.

    I'm talking about a hermite with more control points, with a higher order of "s", not hermite-splines with a series of hermites, or any other work-around like that.

  2. #2
    Senior Member OpenGL Guru
    Join Date
    Mar 2001
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    3,576

    Re: Hermite Curves

    I hate to redirect questions like this, but why exactly do you need an n-th exponential Hermite polynomial curve? Is there something particularily wrong/unworkable with using the traditional method of piecing multiple cubic Hermite splines together?

  3. #3
    Junior Member Regular Contributor
    Join Date
    Dec 2000
    Location
    Computer Graphics Group, RWTH Aachen, Germany
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    124

    Re: Hermite Curves

    Hi

    You can construct a polynomial interpolating given points and some derivative conditions at these points (the Hermite interpolant), so the answer is yes - you can construct a polynomial curve interpolating given hermite type conditions. (A book in numerical methods will help you here definitely).

    Regards
    Martin

    [This message has been edited by martin_marinov (edited 05-03-2001).]

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