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Bezier curves:
Theses are special polynomial curves expressed using Bernstein polynomials. Spline curves are simple extensions of Bézier curves composed of two or more polynomial curves joined in a sequence in such a way that the resulting curve is atleast continuous. Formula to compute points on a Bézier curve P is as follows:
Where {bi} are the control points of the curve and Bni(t) are Bernstein polynomials.
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De Casteljau Algorithm For computation of Bézier curves an iterative algorithm known as de Casteljau algorithm is used. The algorithm uses repeated linear interpolation.
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Combined consequence of ambient and diffused reflection At this time the resulting intensity I will be the total sum of the intensities in case 8.3.2 and 8.3.3 we find that:
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