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. Author manuscript; available in PMC: 2010 Dec 21.
Published in final edited form as: Ann Biomed Eng. 2007 Mar 22;35(7):1247–1263. doi: 10.1007/s10439-007-9277-y

FIGURE 4.

FIGURE 4

Data fitting. A 10-term Fourier series, an ellipse (2-term Fourier series) and a circle (1-term Fourier series) were fitted to the selected slice of data points (Fig. 3) at each center point using least squares. The resulting fitted contours lie in the normal (n̂1) − (n̂s)plane and define the cross-sectional area perpendicular to the centerline tangent vector (a). The 10-term Fourier series curve (b, gray contour) closely reproduced details of the canal cross-sectional shape, but overall the shape and cross-sectional area were well represented by an ellipse (b, black contour; also see Results).