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General Intelligence :

Classification of 3D Shapes

There are a limited number of possible 3D contours and junctions. The technique of labeling all contours and junctions consistently is known as relaxation labeling and has grown into a large area of work.

We should work out the rules of arbitrary 3D object construction...

3D Edges

D = discontinuity of distance of object, discontinuity of normal of object surface

DC = discontinuity of distance of object, continuous normal of object surface

N = discontinuity of normal of object surface

R = change of reflectance

S = shadow

Each type of contour has its characteristics such as shading. Such characteristics help to infer its type.

3D Junctions

There are 16 topologically possible line junctions in the "trihedral blocks world":

+ and - indicates whether a crease is convex or concave, respectively. An arrow indicates a "blade" formed by a discontinuity of distance (same as the D-type contour above). The direction of the arrow indicates which side is the occluding surface, which by convention is to the right.

We should extend this analysis to arbitrary 3D shapes.

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Mar/2006 (C) General intelligence corporation limited