| Profile and Axis Estimation (465 words) |
 | The degree of the algebraic surface used for a particular sherd is the degree that is appropriate to the complexity of the shape. |
| Accurate estimates of the axis and the profile curve because in the horizontal plane of the pot, i.e., the plane perpendicular to the axis, the extent of the sherd is large enough to measure the curvature, equivalently, the pot radius, and the profile curve is distinctive. |
| If a sherd is small, it is often the case that it looks like a patch of a sphere, and it may then be possible to estimate principal curvatures but not the axis for the sherd. |
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