:I'd say it has to do with the assumption that the underlying function you're interpolating is continuous and " smooth " on the same scale as your point sampling density.
12.
The notion of'shape sampling'embedded in the term also acknowledges that, as in many measurement processes, the accuracy of the 3D data will depend upon the number and accuracy of points sampled.
13.
One such generalization is that a space is " sequentially " compact if any infinite sequence of points sampled from the space must frequently ( infinitely often ) get arbitrarily close to some point of the space.
14.
In two dimensions, closed disks are compact since for any infinite number of points sampled from a disk, some subset of those points must get arbitrarily close either to a point within the disc, or to a point on the boundary.
15.
IES 2.77 added Greyscale with Tint adjustment, separated the Lock and Click-Thru layer properties, extended the Cloning Brush with three options ( this, below and composite ) and also extended the Color Picker with multiple point sampling.
