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Fig. 3 Cross-sectional shape model. (A) All points on the superellipses satisfy |x/c|2/α + |y/a|2/α = 1. For α = 1 the superellipse reduces to an ellipse. The smaller the value of α < 1, the closer the superellipse shape is to a rectangle. (B) We modeled DA cross-sections by joining two (half) superellipses. Here, (mx, my) is the shape’s midpoint and a, b, c are the shape’s semi-axis lengths; α, β specify the extent of flattening of each superellipse.
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Full text @ PLoS Comput. Biol.