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









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







New contributor




arturoalcibia is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.



















  • 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







New contributor




arturoalcibia is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.



















  • 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







New contributor




arturoalcibia is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











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






share|improve this question







New contributor




arturoalcibia is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question







New contributor




arturoalcibia is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question






New contributor




arturoalcibia is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked Nov 10 at 14:18









arturoalcibia

41




41




New contributor




arturoalcibia is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





arturoalcibia is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






arturoalcibia is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











  • 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












1 Answer
1






active

oldest

votes

















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






















    Your Answer






    StackExchange.ifUsing("editor", function ()
    StackExchange.using("externalEditor", function ()
    StackExchange.using("snippets", function ()
    StackExchange.snippets.init();
    );
    );
    , "code-snippets");

    StackExchange.ready(function()
    var channelOptions =
    tags: "".split(" "),
    id: "1"
    ;
    initTagRenderer("".split(" "), "".split(" "), channelOptions);

    StackExchange.using("externalEditor", function()
    // Have to fire editor after snippets, if snippets enabled
    if (StackExchange.settings.snippets.snippetsEnabled)
    StackExchange.using("snippets", function()
    createEditor();
    );

    else
    createEditor();

    );

    function createEditor()
    StackExchange.prepareEditor(
    heartbeatType: 'answer',
    convertImagesToLinks: true,
    noModals: true,
    showLowRepImageUploadWarning: true,
    reputationToPostImages: 10,
    bindNavPrevention: true,
    postfix: "",
    imageUploader:
    brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
    contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
    allowUrls: true
    ,
    onDemand: true,
    discardSelector: ".discard-answer"
    ,immediatelyShowMarkdownHelp:true
    );



    );






    arturoalcibia is a new contributor. Be nice, and check out our Code of Conduct.









     

    draft saved


    draft discarded


















    StackExchange.ready(
    function ()
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstackoverflow.com%2fquestions%2f53239843%2fsmooth-interpolation-of-two-points-with-an-angle-as-a-parameter%23new-answer', 'question_page');

    );

    Post as a guest















    Required, but never shown

























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    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

        45.1k22847




        45.1k22847




















            arturoalcibia is a new contributor. Be nice, and check out our Code of Conduct.









             

            draft saved


            draft discarded


















            arturoalcibia is a new contributor. Be nice, and check out our Code of Conduct.












            arturoalcibia is a new contributor. Be nice, and check out our Code of Conduct.











            arturoalcibia is a new contributor. Be nice, and check out our Code of Conduct.













             


            draft saved


            draft discarded














            StackExchange.ready(
            function ()
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstackoverflow.com%2fquestions%2f53239843%2fsmooth-interpolation-of-two-points-with-an-angle-as-a-parameter%23new-answer', 'question_page');

            );

            Post as a guest















            Required, but never shown





















































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown

































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown







            Popular posts from this blog

            Top Tejano songwriter Luis Silva dead of heart attack at 64

            ReactJS Fetched API data displays live - need Data displayed static

            政党