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Creating a curve from 3 points.

  • 07-07-2004 7:37pm
    #1
    Hobbes
    Registered Users, Registered Users 2 Posts: 21,264 ✭✭✭✭


    (sorry if this is a newbie obvious question, its been a while -_- )

    I want to create a curve using three points.

    p1, p2, p3

    Starting from p1 going through p2 and finishing in p3.

    To do this easy I have a method that creates an arc based on..

    cX, cY (center), Radius, Starting angle, end angle (as an offset).

    Anyway I was wondering whats the formula to determine the center point given p1,p2,p3 ? If I can determine the center I should have no problem creating my curve. :/


Comments

  • #2
    ecksor
    Moderators, Social & Fun Moderators Posts: 10,501 Mod ✭✭✭✭ecksor


    http://mathworld.wolfram.com/Circumcenter.html


  • #3
    Hobbes
    Registered Users, Registered Users 2 Posts: 21,264 ✭✭✭✭Hobbes


    Cheers! :D


  • #4
    Capt'n Midnight
    Moderators, Recreation & Hobbies Moderators, Science, Health & Environment Moderators, Technology & Internet Moderators Posts: 92,550 Mod ✭✭✭✭Capt'n Midnight


    there are formulas for creating splines where a line will go through each of n points used to make the formula (the formula having n terms)

    for each point the formula relies on other values falling to zero

    Dang can't remember it ...


  • #5
    ecksor
    Moderators, Social & Fun Moderators Posts: 10,501 Mod ✭✭✭✭ecksor


    Bezier curves perhaps?


  • #6
    Stormfox1020
    Closed Accounts Posts: 833 ✭✭✭Stormfox1020


    /me goes back to basic junior cert Tech Graph, bisects two angles and where they meet is center point. /Me whips out the compass and voila.


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