remove incorrect direction approximation rules
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@ -40,11 +40,6 @@ inflection angles (AB in our examples) must be crossed with all the other bends
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to detect a possible line-crossing. This is O(N*M), where N is the total number
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of line segments, and M is the number of qualifying bends. It is expensive.
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This may be simplified: if other bend's endpoints (A' and B') are in the same
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sub-plane as divided by AB, then the bend can be skipped from checking if it
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intersects with AB. Some intersections may be missed (see the last example),
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but they will be eliminated by joining A and B anyway.
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Also, there is another way to remove self-crossing, without removing most of
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the bend. E.g. from:
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@ -69,4 +64,4 @@ To:
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\__________|
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But perhaps it doesn't look quite as natural. I will trust the original
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article to do the right thing here.
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article to do the right thing here and remove the bend altogether.
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@ -18,7 +18,7 @@ create table figures (name text, way geometry);
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--insert into figures (name, way) values ('fig3-1',ST_GeomFromText('LINESTRING(0 0,12 0,13 4,20 2,20 0,32 0,33 10,38 16,43 15,44 10,44 0)'));
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--insert into figures (name, way) values ('fig5',ST_GeomFromText('LINESTRING(0 39,19 52,27 77,26 104,41 115,49 115,65 103,65 75,53 45,63 15,91 0)'));
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insert into figures (name, way) values ('fig6',ST_GeomFromText('LINESTRING(84 47,91 59,114 64,122 80,116 92,110 93,106 106,117 118,136 107,135 76,120 45,125 39,141 39,147 32)'));
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--insert into figures (name, way) values ('fig6-rev',ST_Reverse(ST_Translate((select way from figures where name='fig6'), 80, 0)));
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insert into figures (name, way) values ('fig6-rev',ST_Reverse(ST_Translate((select way from figures where name='fig6'), 80, 0)));
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--insert into figures (name, way) values ('inflection-1',ST_GeomFromText('LINESTRING(110 24,114 20,133 20,145 15,145 0,136 5,123 7,114 7,111 2)'));
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drop table if exists debug;
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12
wm.sql
12
wm.sql
@ -178,8 +178,6 @@ declare
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p3 geometry;
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a geometry;
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b geometry;
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s2 real;
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s3 real;
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bend geometry;
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this geometry;
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multi geometry;
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@ -224,20 +222,10 @@ begin
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raise notice 'j: %, i: %', j, i;
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-- are p2 and p3 on the different sides of line(p0,p1)? vector
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-- multiplication; https://stackoverflow.com/questions/1560492/
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s2 = (st_x(p0)-st_x(p1)*(st_y(p2)-st_y(p1))-
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(st_y(p0)-st_y(p1))*(st_x(p2)-st_x(p1)));
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s3 = (st_x(p0)-st_x(p1)*(st_y(p3)-st_y(p1))-
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(st_y(p0)-st_y(p1))*(st_x(p3)-st_x(p1)));
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raise notice 'sign(s2): %, sign(s3): %', sign(s2), sign(s3);
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continue when sign(s2) = sign(s3);
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-- do end vertices of bend[i] cross bend[j]?
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a = st_pointn(bends[i], 1);
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b = st_pointn(bends[i], -1);
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multi = st_split(bends[j], st_makeline(a, b));
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insert into debug (i, way) values (0, st_geometryn(multi, 1));
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raise notice 'bends[i]: %', st_astext(bends[i]);
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raise notice 'bends[j]: %', st_astext(bends[j]);
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raise notice 'a: %, b: %', st_astext(a), st_astext(b);
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