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Add --buffer-polygons-outward
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e-n-f committed Oct 28, 2023
1 parent 089be8a commit 6c58ae4
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1 change: 1 addition & 0 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -496,6 +496,7 @@ the same layer, enclose them in an `all` expression so they will all be evaluate
* `-pt` or `--no-tiny-polygon-reduction`: Don't combine the area of very small polygons into small squares that represent their combined area.
* `-pT` or `--no-tiny-polygon-reduction-at-maximum-zoom`: Combine the area of very small polygons into small squares that represent their combined area only at zoom levels below the maximum.
* `--tiny-polygon-size=`_size_: Use the specified _size_ for tiny polygons instead of the default 2. Anything above 6 or so will lead to visible artifacts with the default tile detail.
* `-aO` or `--buffer-polygons-outward`: Buffer polygons, except those that have been detected to be continous by `--no-simplification-of-shared-nodes`, outward slightly to prevent narrow polygon spindles fom collapsing away.
* `-av` or `--visvalingam`: Use Visvalingam's simplification algorithm rather than Douglas-Peucker's.

### Attempts to improve shared polygon boundaries
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132 changes: 71 additions & 61 deletions geometry.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -197,6 +197,23 @@ drawvec reduce_tiny_poly(drawvec &geom, int z, int detail, bool *still_needs_sim

double area = get_area(geom, i, j);

long long minx = LLONG_MAX;
long long maxx = LLONG_MIN;
long long miny = LLONG_MAX;
long long maxy = LLONG_MIN;
for (auto const &d : geom) {
minx = std::min(minx, (long long) d.x);
maxx = std::max(maxx, (long long) d.x);
miny = std::min(miny, (long long) d.y);
maxy = std::max(maxy, (long long) d.y);
}
if (area > 0 && area <= pixel * pixel && area < (maxx - minx) * (maxy - miny) / 5) {
// if the polygon doesn't use most of its area,
// don't let it be dust, because the shape is
// probably something weird and interesting.
area = pixel * pixel * 2;
}

// XXX There is an ambiguity here: If the area of a ring is 0 and it is followed by holes,
// we don't know whether the area-0 ring was a hole too or whether it was the outer ring
// that these subsequent holes are somehow being subtracted from. I hope that if a polygon
Expand Down Expand Up @@ -485,6 +502,26 @@ drawvec impose_tile_boundaries(drawvec &geom, long long extent) {
return out;
}

bool is_shared_node(draw d, int z, int tx, int ty, struct node *shared_nodes_map, size_t nodepos) {
if (nodepos > 0) {
// offset to global
if (z != 0) {
d.x += tx * (1LL << (32 - z));
d.y += ty * (1LL << (32 - z));
}

// to quadkey
struct node n;
n.index = encode_quadkey((unsigned) d.x, (unsigned) d.y);

if (bsearch(&n, shared_nodes_map, nodepos / sizeof(node), sizeof(node), nodecmp) != NULL) {
return true;
}
}

return false;
}

drawvec simplify_lines(drawvec &geom, int z, int tx, int ty, int detail, bool mark_tile_bounds, double simplification, size_t retain, drawvec const &shared_nodes, struct node *shared_nodes_map, size_t nodepos) {
int res = 1 << (32 - detail - z);
long long area = 1LL << (32 - z);
Expand Down Expand Up @@ -514,21 +551,8 @@ drawvec simplify_lines(drawvec &geom, int z, int tx, int ty, int detail, bool ma
geom[i].necessary = true;
}

if (nodepos > 0) {
// offset to global
draw d = geom[i];
if (z != 0) {
d.x += tx * (1LL << (32 - z));
d.y += ty * (1LL << (32 - z));
}

// to quadkey
struct node n;
n.index = encode_quadkey((unsigned) d.x, (unsigned) d.y);

if (bsearch(&n, shared_nodes_map, nodepos / sizeof(node), sizeof(node), nodecmp) != NULL) {
geom[i].necessary = true;
}
if (is_shared_node(geom[i], z, tx, ty, shared_nodes_map, nodepos)) {
geom[i].necessary = true;
}
}
}
Expand Down Expand Up @@ -1399,33 +1423,24 @@ drawvec checkerboard_anchors(drawvec const &geom, int tx, int ty, int z, unsigne
return out;
}

static double anglediff(double dx1, double dy1, double dx2, double dy2) {
// https://gist.github.com/e-n-f/417cd85f6d9b00dab887276376e77f30
// https://twitter.com/enf/status/795798781186830341
bool is_continous_poly(drawvec const &geom, size_t i, size_t j, int z, int tx, int ty, struct node *shared_nodes_map, size_t nodepos) {
size_t count = 0;

double cross = dx1 * dy2 - dy1 * dx2;
double sd = sqrt(dx1 * dx1 + dy1 * dy1);
double cd = sqrt(dx2 * dx2 + dy2 * dy2);
// j - 1 to avoid double-counting the duplicate last node
for (; i < j - 1; i++) {
if (is_shared_node(geom[i], z, tx, ty, shared_nodes_map, nodepos)) {
count++;

double dot = dx1 * dx2 + dy1 * dy2;
double ret;
if (dot < 0) {
if (cross < 0) {
ret = -M_PI - asin(cross / (sd * cd));
} else {
ret = M_PI - asin(cross / (sd * cd));
if (count >= 4) {
return true;
}
}
} else {
ret = asin(cross / (sd * cd));
}
if (ret < 0) {
// make it 0 to 360, not -180 to 180
ret += 2 * M_PI;
}
return ret;

return false;
}

drawvec buffer_poly(drawvec const &geom, double buffer) {
drawvec buffer_poly(drawvec const &geom, double buffer, int z, int tx, int ty, struct node *shared_nodes_map, size_t nodepos) {
drawvec out = geom;

if (buffer != 0) {
Expand All @@ -1438,38 +1453,33 @@ drawvec buffer_poly(drawvec const &geom, double buffer) {
}
}

for (size_t k = i; k < j - 1; k++) {
draw p0 = geom[(k + 0 - i) % (j - i - 1) + i];
draw p1 = geom[(k + 1 - i) % (j - i - 1) + i];
draw p2 = geom[(k + 2 - i) % (j - i - 1) + i];

double adiff = 2 * M_PI - anglediff(p0.x - p1.x, p0.y - p1.y,
p2.x - p1.x, p2.y - p1.y);
if (!is_continous_poly(geom, i, j, z, tx, ty, shared_nodes_map, nodepos)) {
for (size_t k = i; k < j - 1; k++) {
draw p0 = geom[(k + 0 - i) % (j - i - 1) + i];
draw p1 = geom[(k + 1 - i) % (j - i - 1) + i];
draw p2 = geom[(k + 2 - i) % (j - i - 1) + i];

double a1 = atan2(p1.y - p0.y, p1.x - p0.x);
double a10 = atan2(p1.y - p0.y, p1.x - p0.x);
double a21 = atan2(p2.y - p1.y, p2.x - p1.x);

printf("at %zu %zu %zu ",
(k + 0 - i) % (j - i - 1) + i,
(k + 1 - i) % (j - i - 1) + i,
(k + 2 - i) % (j - i - 1) + i);
printf("%lld,%lld to %lld,%lld to %lld,%lld: ", p0.x, p0.y, p1.x, p1.y, p2.x, p2.y);
printf("angle %f then %f\n",
atan2(p1.y - p0.y, p1.x - p0.x) * 180 / M_PI,
atan2(p2.y - p1.y, p2.x - p1.x) * 180 / M_PI);
double dx = cos(a10 - 90 * M_PI / 180) + cos(a21 - 90 * M_PI / 180);
double dy = sin(a10 - 90 * M_PI / 180) + sin(a21 - 90 * M_PI / 180);

double a10 = atan2(p1.y - p0.y, p1.x - p0.x);
double a21 = atan2(p2.y - p1.y, p2.x - p1.x);
// the angle halfway between the angles
// perpendicular to a0->a1 (a10) and a1->a2 (a21)
double a2 = atan2(dy, dx);

double dx = cos(a10 - 90 * M_PI / 180) + cos(a21 - 90 * M_PI / 180);
double dy = sin(a10 - 90 * M_PI / 180) + sin(a21 - 90 * M_PI / 180);
double a2 = atan2(dy, dx);
out[(k + 1 - i) % (j - i - 1) + i].x = std::round(p1.x + buffer * cos(a2));
out[(k + 1 - i) % (j - i - 1) + i].y = std::round(p1.y + buffer * sin(a2));
}

out[(k + 1 - i) % (j - i - 1) + i].x = std::round(p1.x + buffer * cos(a2));
out[(k + 1 - i) % (j - i - 1) + i].y = std::round(p1.y + buffer * sin(a2));
out[j - 1].x = out[i].x;
out[j - 1].y = out[i].y;
} else {
printf("skipping continuous ring %zu to %zu\n", i, j);
}

out[j - 1].x = out[i].x;
out[j - 1].y = out[i].y;
i = j - 1;
}
}
}
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2 changes: 1 addition & 1 deletion geometry.hpp
Original file line number Diff line number Diff line change
Expand Up @@ -104,6 +104,6 @@ std::string overzoom(mvt_tile tile, int oz, int ox, int oy, int nz, int nx, int
std::string overzoom(std::string s, int oz, int ox, int oy, int nz, int nx, int ny,
int detail, int buffer, std::set<std::string> const &keep, bool do_compress);

drawvec buffer_poly(drawvec const &geom, double buffer);
drawvec buffer_poly(drawvec const &geom, double buffer, int z, int tx, int ty, struct node *shared_nodes_map, size_t nodepos);

#endif
1 change: 1 addition & 0 deletions main.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -3181,6 +3181,7 @@ int main(int argc, char **argv) {
{"no-tiny-polygon-reduction", no_argument, &prevent[P_TINY_POLYGON_REDUCTION], 1},
{"no-tiny-polygon-reduction-at-maximum-zoom", no_argument, &prevent[P_TINY_POLYGON_REDUCTION_AT_MAXZOOM], 1},
{"tiny-polygon-size", required_argument, 0, '~'},
{"buffer-polygons-outward", no_argument, &additional[A_BUFFER_POLYGONS_OUTWARD], 1},
{"no-simplification-of-shared-nodes", no_argument, &prevent[P_SIMPLIFY_SHARED_NODES], 1},
{"visvalingam", no_argument, &additional[A_VISVALINGAM], 1},

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2 changes: 2 additions & 0 deletions man/tippecanoe.1
Original file line number Diff line number Diff line change
Expand Up @@ -637,6 +637,8 @@ the line or polygon within one tile unit of its proper location. You can probabl
.IP \(bu 2
\fB\fC\-\-tiny\-polygon\-size=\fR\fIsize\fP: Use the specified \fIsize\fP for tiny polygons instead of the default 2. Anything above 6 or so will lead to visible artifacts with the default tile detail.
.IP \(bu 2
\fB\fC\-aO\fR or \fB\fC\-\-buffer\-polygons\-outward\fR: Buffer polygons, except those that have been detected to be continous by \fB\fC\-\-no\-simplification\-of\-shared\-nodes\fR, outward slightly to prevent narrow polygon spindles fom collapsing away.
.IP \(bu 2
\fB\fC\-av\fR or \fB\fC\-\-visvalingam\fR: Use Visvalingam's simplification algorithm rather than Douglas\-Peucker's.
.RE
.SS Attempts to improve shared polygon boundaries
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1 change: 1 addition & 0 deletions options.hpp
Original file line number Diff line number Diff line change
Expand Up @@ -26,6 +26,7 @@
#define A_HILBERT ((int) 'h')
#define A_VISVALINGAM ((int) 'v')
#define A_GENERATE_POLYGON_LABEL_POINTS ((int) 'P')
#define A_BUFFER_POLYGONS_OUTWARD ((int) 'O')

#define P_SIMPLIFY ((int) 's')
#define P_SIMPLIFY_LOW ((int) 'S')
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20 changes: 7 additions & 13 deletions tile.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -612,7 +612,10 @@ void *partial_feature_worker(void *v) {
int out_detail = (*partials)[i].extra_detail;

drawvec geom = (*partials)[i].geoms[0];
drawvec before_scaling = geom;

if (additional[A_BUFFER_POLYGONS_OUTWARD] && t == VT_POLYGON) {
geom = buffer_poly(geom, (1LL << (32 - z - out_detail)) * sqrt(2) / 2, z, (*partials)[i].tx, (*partials)[i].ty, a->shared_nodes_map, a->nodepos);
}

to_tile_scale(geom, z, out_detail);

Expand All @@ -627,19 +630,10 @@ void *partial_feature_worker(void *v) {
check_polygon(geom);
}

if (true || geom.size() < 4) {
if (geom.size() < 4) {
if (area > 0) {
// Try reviving the polygon by buffering it outward a little

geom = buffer_poly(before_scaling, (1LL << (32 - z - out_detail)) * 2.0);
to_tile_scale(geom, z, out_detail);
geom = clean_or_clip_poly(geom, 0, 0, false, true);

if (geom.size() < 4) {
// OK, that didn't work, make a placeholder
// area is in world coordinates, calculated before scaling down
geom = revive_polygon(before, area, z, out_detail);
}
// area is in world coordinates, calculated before scaling down
geom = revive_polygon(before, area, z, out_detail);
} else {
geom.clear();
}
Expand Down

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