2008/4/24 Mike Tintner <[EMAIL PROTECTED]>:
>  Thanks for reply, but you haven't quite answered.  Geometry, in my
> definition, is a systematic set of regular forms, which can be, and are,
> used to deconstruct visual forms in various kinds of images.


This implies that the image contains sufficient information which can
then be converted into knowledge about objects, etc.  Unfortunately in
real situations this often isn't the case.  Understanding images is at
least as much about reconstruction as it is about deconstruction.


And geometry is
> , as I understand - please correct me - the whole basis of current
> approaches to visual object recognition. I don't think that will work,
> because the "meaning" or, perhaps better, "sense", of the object - of the
> dancer in that picture, say, - lies in the whole form, the whole shape of
> the object or dancer. And as soon as you deconstruct it, you've lost it. The
> shape can only be processed in an understandable way as a whole shape. (And,
> if that's correct, the perceptual brain is a cartoonist, rather than a
> geometer).


You can think about an object as a constellation of features having
certain geometric relationships to each other.  This is basically how
the 2D forms of object recognition in systems like the ones produced
by Evolution Robotics and Skilligent work, and these perform
reasonably well on objects with planar surfaces.  What I think needs
to be done is to extend this into 3D and eventually 4D, so that each
feature is a locally oriented plane having a surface normal (see
Andrew Davison's MonoSLAM system for an example of this).  This would
mean that objects with complex shapes could be recognized from
arbitrary viewing perspectives after only minimal training.
Competence in this type of vision may also be closely related to the
simultaneous localization and mapping problem.

For an example of existing 2D object recognition see
http://www.skilligent.com/products/computer-vision.shtml  This is
really all about computational geometry.

-------------------------------------------
agi
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