\input preamble.tex % --------------------------------------------------------------------------- \begin{document} \unitlength1.125cm \begin{center} {\Huge \bf{Integral Bezier Curves}} \bigskip \begin{lapdf}(16,16)(-8,-8) \Dgray \Rect(-8,-8,16,16) \Gfill(.9) \Black \Moveto(-8,-8) \Curveto(80)(8,8) \Stroke \Red \Moveto(-8,-8) \Curveto(80)(0,8)(8,-8) \Stroke \Green \Moveto(-8,-8) \Curveto(80)(-4,8)(4,-8)(8,8) \Stroke \Blue \Moveto(-8,-8) \Curveto(80)(-8,0)(12,-12)(0,8)(8,8) \Stroke \Cyan \Moveto(0,-8) \Curveto(96)(-8,-8)(-8,8)(8,8)(8,-8)(0,-8) \Stroke \Magenta \Moveto(-8,-8) \Curveto(96)(-8,-8)(0,-8)(-8,0)(0,8)(8,0)(0,-8)(8,-8) \Stroke \Yellow \Moveto(-8,0) \Curveto(96)(-5.715,8)(-3.43,-16)(-1.145,8)(1.145,-8)(3.43,16) (5.715,-8)(8,0) \Stroke \end{lapdf} \em{Curve-Degree: 1 black, 2 red, 3 green, 4 blue, 5 cyan, 6 magenta, 7 dyellow} \end{center} \newpage \unitlength1cm \begin{center} {\Huge \bf{Rational Bezier Curves}} \bigskip \begin{lapdf}(18,18)(-9,-9) \Dgray \Rect(-9,-9,18,18) \Gfill(.9) \Red \Rmoveto(-9,9,1) \Rcurveto(80)(0,-9,4)(9,9,1) \Stroke \Green \Rmoveto(-9,-9,0.1) \Rcurveto(80)(-4.5,9,2.8)(4.5,-9,2.8)(9,9,0.1) \Stroke \Blue \Rmoveto(-9,9,0.1) \Rcurveto(80)(-4.5,-9,0.7)(0,9,1)(4.5,-9,0.7)(9,9,0.1) \Stroke \Cyan \Rmoveto(3,0,3) \Rcurveto(96)(0,3,1)(-3,0,1)(0,-3,1)(3,0,3) \Stroke \Magenta \Rmoveto(4,0,1) \Rcurveto(96)(4,16,0.2)(-12,8,0.2)(-12,-8,0.2)(4,-16,0.2)(4,0,1) \Stroke \Yellow \Rmoveto(0,-9,1) \Rcurveto(96)(-9,-9,2)(-9,9,1)(9,9,1)(9,-9,2)(0,-9,1) \Stroke \end{lapdf} \em{Curve-Degree: 2 red, 3 green, 4 blue, 5 cyan, 6 magenta, 7 dyellow} \end{center} \end{document}