Fig. 4. Selecting curves that define the vertices of the odontophore mesh when the line of widest extent does not pass through the anterior and posterior extremes of the mid-sagittal cross section. In all parts of this figure, note the cosinusoidal spacing of the curves to provide approximately uniform coverage of the odontophore surface. (A) A mid-sigittal shape can be extrapolated into a three-dimensional mesh using vertices that lie along parallel curves and whose widths are defined by their intersection with a line of widest extent, if the line of widest extent passes through the anterior and posterior extremes of the mid-sagittal shape. (B) If the line of widest extent does not pass through the anterior and posterior extremes, then parallel curves whose widths are defined by their intersection with the line of widest extent cannot encompass the entire volume. (C) This problem can be overcome by angling the planes of the curves such that they are tangential to the mid-sagittal shape at both ends of the line of widest extent.

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