smooth interpolation of two points, with an angle as a parameter









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in Autodesk Maya when an user creates an animation of two keyframes the program displays the animation curve like in the pictures below. There's a curve with a start and an end point, spline interpolated, the user can edit the angle on both ends to edit it like this.



spline interpolated image



angle edited



In math, I've found how to interpolate via several methods between two points, but I haven't found how to get the shape of a curve like in the second picture, and with an angle on both points as a parameter to edit.










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  • Both images are the same, is that intentional?
    – Green Cell
    Nov 12 at 1:29














up vote
0
down vote

favorite












in Autodesk Maya when an user creates an animation of two keyframes the program displays the animation curve like in the pictures below. There's a curve with a start and an end point, spline interpolated, the user can edit the angle on both ends to edit it like this.



spline interpolated image



angle edited



In math, I've found how to interpolate via several methods between two points, but I haven't found how to get the shape of a curve like in the second picture, and with an angle on both points as a parameter to edit.










share|improve this question





















  • Both images are the same, is that intentional?
    – Green Cell
    Nov 12 at 1:29












up vote
0
down vote

favorite









up vote
0
down vote

favorite











in Autodesk Maya when an user creates an animation of two keyframes the program displays the animation curve like in the pictures below. There's a curve with a start and an end point, spline interpolated, the user can edit the angle on both ends to edit it like this.



spline interpolated image



angle edited



In math, I've found how to interpolate via several methods between two points, but I haven't found how to get the shape of a curve like in the second picture, and with an angle on both points as a parameter to edit.










share|improve this question













in Autodesk Maya when an user creates an animation of two keyframes the program displays the animation curve like in the pictures below. There's a curve with a start and an end point, spline interpolated, the user can edit the angle on both ends to edit it like this.



spline interpolated image



angle edited



In math, I've found how to interpolate via several methods between two points, but I haven't found how to get the shape of a curve like in the second picture, and with an angle on both points as a parameter to edit.







python math interpolation maya spline






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asked Nov 10 at 14:18









arturoalcibia

41




41











  • Both images are the same, is that intentional?
    – Green Cell
    Nov 12 at 1:29
















  • Both images are the same, is that intentional?
    – Green Cell
    Nov 12 at 1:29















Both images are the same, is that intentional?
– Green Cell
Nov 12 at 1:29




Both images are the same, is that intentional?
– Green Cell
Nov 12 at 1:29












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I might be some kind of cubic parametric curve.



Curve might be represented as Hermite spline or in Bezier form - the most widely used form in computer graphics.



Bezier curve description requires end points and control points that define direction (angle) and magnitude of derivatives at the ends.






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    1 Answer
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    1 Answer
    1






    active

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    active

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    up vote
    0
    down vote













    I might be some kind of cubic parametric curve.



    Curve might be represented as Hermite spline or in Bezier form - the most widely used form in computer graphics.



    Bezier curve description requires end points and control points that define direction (angle) and magnitude of derivatives at the ends.






    share|improve this answer


























      up vote
      0
      down vote













      I might be some kind of cubic parametric curve.



      Curve might be represented as Hermite spline or in Bezier form - the most widely used form in computer graphics.



      Bezier curve description requires end points and control points that define direction (angle) and magnitude of derivatives at the ends.






      share|improve this answer
























        up vote
        0
        down vote










        up vote
        0
        down vote









        I might be some kind of cubic parametric curve.



        Curve might be represented as Hermite spline or in Bezier form - the most widely used form in computer graphics.



        Bezier curve description requires end points and control points that define direction (angle) and magnitude of derivatives at the ends.






        share|improve this answer














        I might be some kind of cubic parametric curve.



        Curve might be represented as Hermite spline or in Bezier form - the most widely used form in computer graphics.



        Bezier curve description requires end points and control points that define direction (angle) and magnitude of derivatives at the ends.







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited Nov 10 at 16:11

























        answered Nov 10 at 15:48









        MBo

        45.9k22848




        45.9k22848



























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