If the percentage of aligned point in a rectangle is big enough, the rectangle is served as

line segment.

If every two endpoints are connected as a

line segment, all these

line segments can be matched to three pairs (AB and CD; AC and BD; AD and BC), with no consideration of their orientation and orders.

Case 2 (the intersection relationship between point P and

line segment [L.sub.AB]).

Otherwise we could take a point h [member of] [pi] [intersection] H and draw a

line segment S [subset] P' that crosses [pi] in h and ends in the two points [b.sub.1], [b.sub.2] on the boundary of P'.

3 Explanation for the distance function d (vp,s) between a

line segment s and a finite vanishing point vp.

Let us assign an orientation to each

line segment L in the plane that is parallel to one of the direction vectors [e.sub.k].

If the

line segment L is parallel to [e.sub.k] for an even integer 0 [less than or equal to] k [less than or equal to] n, then give L the same orientation as [e.sub.k]; otherwise give it the opposite orientation.

Since m[angle]DPQ = m[angle]PQR, (because trapezium PQC'D' is a reflection of trapezium PQCD along the

line segment PQ) and m[angle]DPQ = m[angle]RPQ (because alternate interior angles are congruent when a transversals intersects two parallel lines), APQR is an isosceles triangle with m[angle]PQR = m[angle]RPQ.

The length of

line segment [l.sub.i] is the Euclidean distance of the two end points of [l.sub.i], as shown in Figure 4(c).

This paper proposes a matching method based on SIFT features of directed

line segment in images.

If there is no

line segment in these cones, we stop the connection of polygonal tracks at this stage, where the cone is given as follows.

The planned expansion would involve expanding the capacity of Southern Star's system beginning in Texas County, OK along the Straight Blackwell Line (

Line Segment 315) extending east to its Blackwell Compressor Station, located in Kay County, OK.

After getting the linear segments representation for raw data, we use each

line segment's slope and the number of original data that each line represents to present each segment.

I chose to draw a

line segment AB, found its midpoint and then drew the circle with centre C passing through B.

Another way of evaluation of connectors is to analyze this topology part as input impedance of the short microstrip

line segment with the open end (see Fig.