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{ RCSid $Id$ } |
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{ |
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Calculate superellipsoid surface |
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using parametric formulation taken |
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from Wikipedia |
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|
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12/6/2013 G. Ward |
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Input parameters: |
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A - Radius in X-direction |
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B - Radius in Y-direction |
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C - Radius in Z-direction |
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e - 2/r parameter |
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n - 2/t parameter |
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|
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Example: |
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gensurf mat name 'x(s,t)' 'y(s,t)' 'z(s,t)' 50 50 \ |
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-e 'A:1;B:1.5;C:2;e:.5;n:.7' -f superellipsoid.cal |
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} |
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ap(x,m) : if(x, x^m, if(-x, -(-x^m), 0)); |
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fc(w,m) : ap(cos(w),m); |
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fs(w,m) : ap(sin(w),m); |
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|
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x(s,t) = A * fc(t*PI-PI/2, n) * fc(s*2*PI-PI, e); |
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y(s,t) = B * fc(t*PI-PI/2, n) * fs(s*2*PI-PI, e); |
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z(s,t) = C * fs(t*PI-PI/2, n); |
