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Creating paths with MetaPost-like parameters
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Some simple paths are created by prescribing five points on the path. The
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curves between them are automatically chosen such that the result looks smooth. ...
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Instead of constructing paths from their path elements, where all control
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points must be given explicitly, we here specify only five points which must
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lie on the path. The remaining control points are then internally determined by
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the constraint that the curve should look smooth.
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In the first curve, the geometrical constraints are the following. The three
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interior points have a continuous tangent and a continuous curvature. The two
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end points demand a curvature not too different from that at their neighbor
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(second/fourth point).
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For the closed curve, all points are of the continuous type.
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! The algorithm for calculating the curves comes from MetaPost. In the syntax
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of MetaPost, the above example corresponds to the commands
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draw((0,0)..(2,1.33)..(1.3,3)..(0.33,2.33)..(1,1.67));
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draw((0,0)..(2,1.33)..(1.3,3)..(0.33,2.33)..(1,1.67)..cycle);
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examples/drawing/metapost.txt
