bezier

I do have a bezier curve, and at a certain point, I want a second bezier curve "branching off" the first curve in a smooth manner. Together with calculating the intersection point (with a percentage following the Bezier curve), I need also the control point (the tangent and weight). The intersection point is calculated with the following piece of javascript: getBezier = function getBez(percent,p1,cp1,cp2,p2) { function b1(t) { return t*t*t } function b2(t) { return 3*t*t*(1-t) } function b3(t) { return 3*t*(1-t)*(1-t) } function b4(t) { return (1-t)*(1-t)*(1-t) } var pos = {x:0,y:0}; pos.x =

I was trying to make some jigsaw pieces like this - What I have tried till now with lineTo - outside: function (ctx, s, cx, cy) { ctx.lineTo(cx, cy) ctx.lineTo(cx+s*.3, cy) ctx.lineTo(cx+s*.5, cy+s*-.2) ctx.lineTo(cx+s*.7, cy) ctx.lineTo(cx+s, cy) }, inside: function (ctx, s, cx, cy) { ctx.lineTo(cx, cy) ctx.lineTo(cx+s*.3, cy) ctx.lineTo(cx+s*.5, cy+s*+.2) ctx.lineTo(cx+s*.7, cy) ctx.lineTo(cx+s, cy) }, Fiddle Link Efficient Jigsaw design is simple and it works like this: The linked code already shows how to efficiently assemble one of your jigsaw pieces by reusing a single side design. The

I need to find the 2 points of the visual horizon , of a curved face. I have: XYZ of the 4 corner points XYZ of the 2 curved edge bezier points And I need to calculate either: XY of the horizon points XYZ of the horizon points First off you have to convert your 3D beziers to 2D. If I remember right it's sufficient to project the curves just like you project 3D points for rendering. Afterwards you have to find the extrema of the curves. A small HowTo: Convert your bezier-curve from bezier representation to a polyonomial of the form x(t) = a*t^3 + b*t^2 + c*t + d y(t) = e*t^3 + f*t^2 + g*t + g

I need to create a spline with two endpoints and 'n' control points. As far as I am aware, a Bezier curve allows for only one control point, and a Bezier spline allows for two control points. However, I need to be able to add as many control points as I see fit, not limited to one or two. Here is an example of what I want to achieve, with 4 control points: (Source: Wikipedia article on NURBS ) So far I've only been able to combine a series of BezierSegments together like this: http://img297.imageshack.us/img297/3706/bezierpath.png <Polyline Stroke="Green" Stretch="Uniform" Points="0,0 1,2 2,1

Can someone smarter than me take a look at this. I'm trying to implement a Bezier curve algorithm I found here in objective-c. The output is way wrong. I think I converted the code correctly so either the original was wrong or was not ment to be used like this... If I use the built in NSBezierPath the curve looks great but I can't use the built in NSBezierPath . NSBezierPath example NSBezierPath *bezierPath = [[NSBezierPath alloc] init]; [bezierPath setLineWidth:1.0f]; [bezierPath moveToPoint:NSMakePoint(x1, y1)]; [bezierPath curveToPoint:NSMakePoint(x4, y4) controlPoint1:NSMakePoint(x2, y2)