Spatial query to find all partially aligned lines

Question

Hi There.
I need to find all partially aligned polylines in the layer (interiors have 1-dimentionali intersection). Actually, polylies may a little fluctuate along each other, but that spatial disjointment shouldn't exceed some certain tolerance. It doesn't matter if polylines are touching each other or cover.
What spatial operators/functions will you suggest to use to perform that stuff?
For example next lines for me are partially aligned in tolerance 0.01 (query result is TOUCH):
select sdo_geom.relate(
mdsys.sdo_geometry(2002,null,null, mdsys.sdo_elem_info_array(1,2,1), mdsys.sdo_ordinate_array(1,1,4,4)),
'determine',
mdsys.sdo_geometry(2002,null,null, mdsys.sdo_elem_info_array(1,2,1), mdsys.sdo_ordinate_array(1.1,1,3.015,3)),
0.01) relationship
from dual;
Note: I can't use buffers because it isn't stable for me :( see: SDO_GEOM.SDO_BUFFER failed with ORA-13050
Thank you in advance, Denis.

Answer 1

Thank you for quick response!
The lines are valid at that tolerance.
I think that TOUCH+COVERS+COVEREDBY will not be sufficient for me. Because I'm interested in next cases: OVERLAPBDYINTERSECT, INSIDE, CONTAINS, COVERS (any operator which includes overlapping for lines). I can use union of all those masks, but TOUCH will return me many redundant candidates (Often lines are touch but not overlapping, like: (1,1,2,2) VS (2,2,3,3)). The TOUCH works for me if one poliline touches the other and goes along it some time (like I showed above). Hope I was clear :).