length of a Bezier curve in 3D

[Yoshi]

Any idea how to calculate the length of a Bezier curve in 3D? Suppose I know three control points [x1,y1,z1] , [x2,y2,z2] and [x3,y3,z3]...

[venhard]

hi, there is a book about it. This is full with math and examples. I have a PDF copy. I send this to you.

[rector]

There exists 3d Bezier.class in PHP which is defined by three points and returns curve length. I am unable to attach the file here. Send PM.

[tamagotchi]

yoshi, check this on wikipedia: https://en.wikipedia.org/wiki/Composite ... zier_curve Now, assume the control points of Eight-segment quadratic polybezier have different "Z"-coordinates. This results in flat curved circle. The question is, how to calculate the perimeter and area from eight control points, each defined by three coordinates {x1, y1, z1] .... [x8, y8, z8]

[Yoshi]

venhard, thank you for book posting