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From two to three dimensions
Curves to curved surfaces
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achieved algebra algorithms alternative applications arcs axes B-spline Bezier curve blending functions boundary model calculated Cartesian product Chapter circle colour complex component computer graphics constructed Coons patch coordinate corner corresponding created cursor cutter path data structure defined Delta Computer determine dimensional dimensions draughting systems duct edges engineering drawing face model Figure geometry grid hidden-line input interactive interpolation intersections isometric projection knot vector Lambert's law light pen line segments mesh numerical control object offset operations parallel parametric curves picture piece pixel plane pointers polynomials position possible primitives problems produce projection quadratic radius raster-scan displays ray-casting robot screen sculptured surface set-theoretic model shape information shape model shape representation simple simplest single slope constraints solid modelling specified spline square storage tube straight line surface normal symbol techniques tion track point two-dimensional types values vector refresh vertices washer wire frame workpiece