regular smooth curve - Penn Math
regular smooth curve - Penn Math
regular smooth curve - Penn Math
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To produce the �-tube about this <strong>curve</strong>, we define<br />
by<br />
F: {0 � s � L} � {t 2 + u 2 < �} � R 3<br />
F(s, t, u) = x(s) + t N(s) + u B(s) .<br />
Then the partial derivatives of F are given by<br />
Fs = (1 � t �(s) T(s) � u �(s) N(s) + t �(s) B(s)<br />
Ft = N(s)<br />
Fu = B(s)<br />
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