April 19, 200620 yr Gentlemen,As part of a tutorial I am trying to describe the relationship between angles and Bezier curves. I need to know what you call the "non-linear" vector curves as displayed in this image I made to help describe what I mean, and what the relationship is between the points on the x axis and the sides of the triangle. I know they are called bezier, but its not actually right as Bezeir developed the computational process for drawing the curve, not the curve.Specifically what is the relationship of side a and the "increasing curve (and this name)" of the Bezier called, and what is the name of the line that donates the difference in the two curves as dictated to by their triangle container?Curve 1 was drawn using a right angle triangle and curve 2 using an acute.Does this question make any sense?http://www.ascendant-online.net/en/article...es/question.png
April 20, 200620 yr http://www.ascendant-online.net/en/article...ld/question.pngI'm stuck in my research a tad here as I am not at all versed in mathematical and geometrical concepts. It took me a while to figure out what scalene meant... The problem is doing research in to bezier curves leads to tons of math, im looking more for the conceptual or descriptory aspects not.... x(t) = axt3 + bxt2 + cxt + x0 x1 = x0 + cx / 3 x2 = x1 + (cx + bx) / 3 x3 = x0 + cx + bx + ax y(t) = ayt3 + byt2 + cyt + y0 y1 = y0 + cy / 3 y2 = y1 + (cy + by) / 3 y3 = y0 + cy + by + ay although it was fascinating to discover beziers also contain information relating to velocity and acceleration Check this though, setting five contol points in the following manner allows me to to completely reshape the airfoil in a smooth an pridictible way simply by draging the bottom node. http://www.ascendant-online.net/en/article...es/old/bez1.pnghttp://www.ascendant-online.net/en/article...es/old/bez1.png
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