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. Author manuscript; available in PMC: 2014 Jul 1.
Published in final edited form as: Med Image Anal. 2013 Mar 21;17(5):525–537. doi: 10.1016/j.media.2013.03.005

Table 1.

Analysis of normal vectors in the one-neighborhood of extraordinary vertices as a measure of smoothness. Three quadrature points on the contour bounding two quads were selected within the one-neighborhood, and for each point, unit normals were computed in the two adjoining elements. Last, the dot product was computed for each pair of normals.

RA-90 RA-360 RA-1440 LA-142 LA-568 LA-2272
Mean dot product 0.925 0.974 0.990 0.928 0.981 0.992
Fraction of points with dot product > 0.99 0.42 0.66 0.83 0.39 0.63 0.84
Fraction of points with dot product > 0.95 0.74 0.86 0.96 0.66 0.89 0.96
Fraction of points with dot product > 0.5 0.96 1.0 1.0 0.98 1.0 1.0