On 11/28/06, J. Storrs Hall, PhD. <[EMAIL PROTECTED]> wrote:
Sorry -- should have been clearer. Constructive Solid Geometry. Manipulating
shapes in high- (possibly infinite-) dimensional spaces.
Suppose I want to represent a face as a point in a space. First, represent it
as a raster. That is in turn a series of numbers that can be a vector in the
space. Same face, higher resolution: more numbers, higher dimensionality
space, but you can map the regions that represent the same face between
higher and lower-dimensional spaces. Do it again, again, etc: take the limit
as the resolution and dimensionality go to infinity. You can no more
represent this explicitly than you can a real number, but you can use it as
an abstraction, as a theory to tell you how well your approximations are
working.
I see that a raster is a vector. I see that you can have rasters at
different resolutions. I don't see what you mean by "map the regions
that represent the same face between higher and lower-dimensional
spaces", or what you are taking the limit of as resolution goes to
infinity, or why you don't just stick with one particular resolution.
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