What is the thinking of OGC to keep this point that "point have no boundry , it just has interior"... what do they mean?
this notation: F**F*****...still i am confused due to OGC model.
It should be TFTTFTTFT as far as I know: the point have no interior, it has just a boundary, so it should be an F and T relation between point and line.
I would have commented rather than answered, because there are already several good answers, but I don't have enough reputation yet to comment!
Caveat: I have to think hard when working with the DE-9IM and may have misunderstood your question, or the documents that I looked at.
You said you're testing the intersection of a point and a line. This answer, F**F*****, looks like the intersection of a line with a point. A "*" means that the answer doesn't matter, which would include each test of the point's "boundary" or "exterior", because a point only has an interior. And for the line, we only care about its interior and boundary. I found this in the PostGIS documentation, "Using PostGIS: Data Management and Queries"
1
Interior Boundary Exterior
Interior dim( I(a) ∩ I(b) ) dim( I(a) ∩ B(b) ) dim( I(a) ∩ E(b) )
Boundary dim( B(a) ∩ I(b) ) dim( B(a) ∩ B(b) ) dim( B(a) ∩ E(b) )
Exterior dim( E(a) ∩ I(b) ) dim( E(a) ∩ B(b) ) dim( E(a) ∩ E(b) )
If we check the intersection of a line (a) with a point (b), we only care about the 1st and 4th checks (reading left to right, top to bottom).
You got back False for both, so the line doesn't intersect the point.
That document is confusing to read but it is consistent. Its definitions on p. 2 all rely ultimately on the "definition" of boundary, which is not a definition at all ("The boundary of a geometry object is a set of geometries of the next lower dimension"). (I suspect it is intended to be a continuation of one or more of its references.) The only clear thing is that the boundary of a "geometry" must have a lower dimension. Therefore, because the dimension of a point is zero,
The dimension of a point's boundary must be -1 (empty).
Whence, because "the interior of a geometry object consists of those points that are left (inside) when the boundary points are removed," the "interior" of a point must be the point itself, because that is what remains when you remove an empty set from a point.
The reason for requiring that a boundary have lower dimension originates with simplicial homology theory, where things like "geometries" do have effective definitions and the operation of taking the boundary of a simplicial complex is fundamental.
