Creating a curve from 3 points.

Hobbes · 07-07-2004 6:37pm #1

(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.

ecksor · 07-07-2004 6:47pm

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

Hobbes · 07-07-2004 6:49pm

Cheers!

Capt'n Midnight · 07-07-2004 11:35pm

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 ...

ecksor · 08-07-2004 3:43pm

Bezier curves perhaps?

Stormfox1020 · 31-07-2004 2:03pm

/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.

Creating a curve from 3 points.

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