How to numerically calculate second derivative given 3 3D points (x, y, z) ?

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I have a series of points representing connected lines in 3D (x, y, z) and I want to calculate number of inflection points.



This would mean calculating second derivatives and check when its sign changes. But I am not sure how to calculate second derivative in 3D. I know how to do in 2D (x ,y) which can be seen here.



Of course it won't be as straight forward as in 2D but any simple way to calculate it in order to get number of inflection points would be helpful.










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    up vote
    0
    down vote

    favorite












    I have a series of points representing connected lines in 3D (x, y, z) and I want to calculate number of inflection points.



    This would mean calculating second derivatives and check when its sign changes. But I am not sure how to calculate second derivative in 3D. I know how to do in 2D (x ,y) which can be seen here.



    Of course it won't be as straight forward as in 2D but any simple way to calculate it in order to get number of inflection points would be helpful.










    share|cite|improve this question























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I have a series of points representing connected lines in 3D (x, y, z) and I want to calculate number of inflection points.



      This would mean calculating second derivatives and check when its sign changes. But I am not sure how to calculate second derivative in 3D. I know how to do in 2D (x ,y) which can be seen here.



      Of course it won't be as straight forward as in 2D but any simple way to calculate it in order to get number of inflection points would be helpful.










      share|cite|improve this question













      I have a series of points representing connected lines in 3D (x, y, z) and I want to calculate number of inflection points.



      This would mean calculating second derivatives and check when its sign changes. But I am not sure how to calculate second derivative in 3D. I know how to do in 2D (x ,y) which can be seen here.



      Of course it won't be as straight forward as in 2D but any simple way to calculate it in order to get number of inflection points would be helpful.







      derivatives 3d curves






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      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Sep 4 at 11:07









      Rafa

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