From dbae5386b8082b1a8663ba1f40bbce544aed2056 Mon Sep 17 00:00:00 2001 From: Chris Mackey Date: Wed, 17 Jan 2024 15:58:44 -0800 Subject: [PATCH] feat(polygon): Add a method to generate common axes for alignment --- ladybug_geometry/geometry2d/polygon.py | 183 +++++++++++++++++++++++-- tests/json/polygons_for_alignment.json | 1 + tests/polygon2d_test.py | 16 +++ 3 files changed, 190 insertions(+), 10 deletions(-) create mode 100644 tests/json/polygons_for_alignment.json diff --git a/ladybug_geometry/geometry2d/polygon.py b/ladybug_geometry/geometry2d/polygon.py index 675f91de..fb1933e1 100644 --- a/ladybug_geometry/geometry2d/polygon.py +++ b/ladybug_geometry/geometry2d/polygon.py @@ -1124,14 +1124,19 @@ def to_array(self): return tuple(pt.to_array() for pt in self.vertices) def _to_bool_poly(self): - """A hidden method used to translate the Polygon2D to a BooleanPolygon. - - This is necessary before performing any boolean operations with - the polygon. - """ + """Translate the Polygon2D to a BooleanPolygon.""" b_pts = (pb.BooleanPoint(pt.x, pt.y) for pt in self.vertices) return pb.BooleanPolygon([b_pts]) + def _to_snapped_bool_poly(self, snap_ref_polygon, tolerance): + """Snap a Polygon2D to this one and translate it to a BooleanPolygon. + + This is necessary to ensure that boolean operations will succeed between + two polygons. + """ + new_poly = snap_ref_polygon.snap_to_polygon(self, tolerance) + return new_poly._to_bool_poly() + @staticmethod def _from_bool_poly(bool_polygon): """Get a list of Polygon2D from a BooleanPolygon object.""" @@ -1159,7 +1164,9 @@ def boolean_union(self, polygon, tolerance): A list of Polygon2D representing the union of the two polygons. """ result = pb.union( - self._to_bool_poly(), polygon._to_bool_poly(), tolerance) + self._to_bool_poly(), + polygon._to_snapped_bool_poly(self, tolerance), + tolerance / 100) return Polygon2D._from_bool_poly(result) def boolean_intersect(self, polygon, tolerance): @@ -1176,7 +1183,9 @@ def boolean_intersect(self, polygon, tolerance): Will be an empty list if no overlap exists between the polygons. """ result = pb.intersect( - self._to_bool_poly(), polygon._to_bool_poly(), tolerance) + self._to_bool_poly(), + polygon._to_snapped_bool_poly(self, tolerance), + tolerance / 100) return Polygon2D._from_bool_poly(result) def boolean_difference(self, polygon, tolerance): @@ -1195,7 +1204,9 @@ def boolean_difference(self, polygon, tolerance): is no overlap between the polygons. """ result = pb.difference( - self._to_bool_poly(), polygon._to_bool_poly(), tolerance) + self._to_bool_poly(), + polygon._to_snapped_bool_poly(self, tolerance), + tolerance / 100) return Polygon2D._from_bool_poly(result) def boolean_xor(self, polygon, tolerance): @@ -1224,7 +1235,9 @@ def boolean_xor(self, polygon, tolerance): in the two. """ result = pb.xor( - self._to_bool_poly(), polygon._to_bool_poly(), tolerance) + self._to_bool_poly(), + polygon._to_snapped_bool_poly(self, tolerance), + tolerance / 100) return Polygon2D._from_bool_poly(result) @staticmethod @@ -1320,7 +1333,9 @@ def boolean_split(polygon1, polygon2, tolerance): makes a split version of polygon2. """ int_result, poly1_result, poly2_result = pb.split( - polygon1._to_bool_poly(), polygon2._to_bool_poly(), tolerance) + polygon1._to_bool_poly(), + polygon2._to_snapped_bool_poly(polygon1, tolerance), + tolerance / 100) intersection = Polygon2D._from_bool_poly(int_result) poly1_difference = Polygon2D._from_bool_poly(poly1_result) poly2_difference = Polygon2D._from_bool_poly(poly2_result) @@ -1724,6 +1739,154 @@ def gap_crossing_boundary(polygons, min_separation, tolerance): return closed_polys + @staticmethod + def common_axes( + polygons, direction, min_distance, merge_distance, fraction_to_keep, + angle_tolerance + ): + """Get LineSegment2Ds for the most common axes across a set of Polygon2Ds. + + This is often useful as a step before aligning a set of polygons to these + common axes. + + Args: + polygons: A list or tuple of Polygon2D objects for which common axes + will be evaluated. + direction: A Vector2D object to represent the direction in which the + common axes will be evaluated and generated + min_distance: The minimum distance at which common axes will be evaluated. + This value should typically be a little larger than the model + tolerance (eg. 5 to 20 times the tolerance) in order to ensure that + possible common axes across the input polygons are not missed. + merge_distance: The distance at which common axes next to one another + will be merged into a single axis. This should typically be 2-3 + times the min_distance in order to avoid generating several axes + that are immediately adjacent to one another. When using this + method to generate axes for alignment, this merge_distance should + be in the range of the alignment distance. + fraction_to_keep: A number between 0 and 1 representing the fraction of + all possible axes that will be kept in the result. Depending on + the complexity of the input geometry, something between 0.1 and + 0.3 is typically appropriate. + angle_tolerance: The max angle difference in radians that the polygon + segments direction can differ from the input direction before the + segments are not factored into this calculation of common axes. + + Returns: + A list of LineSegment2D objects for the common axes across the + input polygons. + """ + # gather the relevant segments of the input polygons + min_ang, max_ang = angle_tolerance, math.pi - angle_tolerance + rel_segs = [] + for p_gon in polygons: + for seg in p_gon.segments: + try: + s_ang = direction.angle(seg.v) + if s_ang < min_ang or s_ang > max_ang: + rel_segs.append(seg) + except ZeroDivisionError: # zero length segment to ignore + continue + if len(rel_segs) == 0: + return [] # none of the polygon segments are relevant in the direction + + # determine the extents around the polygons and the input direction + gen_vec = direction.rotate(math.pi / 2) + axis_angle = Vector2D(0, 1).angle_counterclockwise(gen_vec) + orient_poly = polygons + if axis_angle != 0: # rotate geometry to the bounding box + cpt = polygons[0].vertices[0] + orient_poly = [pl.rotate(-axis_angle, cpt) for pl in polygons] + xx = Polygon2D._bounding_domain_x(orient_poly) + yy = Polygon2D._bounding_domain_y(orient_poly) + min_pt = Point2D(xx[0], yy[0]) + max_pt = Point2D(xx[1], yy[1]) + if axis_angle != 0: # rotate the points back + min_pt = min_pt.rotate(axis_angle, cpt) + max_pt = max_pt.rotate(axis_angle, cpt) + + # generate all possible axes from the extents and min_distance + axis_vec = direction.normalize() * (xx[1] - xx[0]) + incr_vec = gen_vec.normalize() * (min_distance) + current_pt = min_pt + current_dist, max_dist = 0, yy[1] - yy[0] + all_axes = [] + while current_dist < max_dist: + axis = LineSegment2D(current_pt, axis_vec) + all_axes.append(axis) + current_pt = current_pt.move(incr_vec) + current_dist += min_distance + + # evaluate the axes based on how many relevant segments they are next to + mid_pts = [seg.midpoint for seg in rel_segs] + rel_axes, axes_value = [], [] + for axis in all_axes: + axis_val = 0 + for pt in mid_pts: + if axis.distance_to_point(pt) <= merge_distance: + axis_val += 1 + if axis_val != 0: + rel_axes.append(axis) + axes_value.append(axis_val) + if len(rel_axes) == 0: + return [] # none of the generated axes are relevant + + # sort the axes by how relevant they are to segments and keep a certain fraction + count_to_keep = int(len(all_axes) * fraction_to_keep) + i_to_keep = [i for _, i in sorted(zip(axes_value, range(len(rel_axes))))] + i_to_keep.reverse() + if count_to_keep == 0: + count_to_keep = 1 + elif count_to_keep > len(i_to_keep): + count_to_keep = len(i_to_keep) + rel_i = i_to_keep[:count_to_keep] + rel_i.sort() + rel_axes = [rel_axes[i] for i in rel_i] + + # group the axes by proximity + last_ax = rel_axes[0] + axes_groups = [[last_ax]] + for axis in rel_axes[1:]: + if axis.p.distance_to_point(last_ax.p) <= merge_distance: + axes_groups[-1].append(axis) + else: # start a new group + axes_groups.append([axis]) + last_ax = axis + + # average the line segments that are within the merge_distance of one another + final_axes = [] + for ax_group in axes_groups: + if len(ax_group) == 1: + final_axes.append(ax_group[0]) + else: + st_pt_x = (ax_group[0].p1.x + ax_group[-1].p1.x) / 2 + st_pt_y = (ax_group[0].p1.y + ax_group[-1].p1.y) / 2 + avg_ax = LineSegment2D(Point2D(st_pt_x, st_pt_y), axis_vec) + final_axes.append(avg_ax) + return final_axes + + @staticmethod + def _bounding_domain_x(geometries): + """Get minimum and maximum X coordinates of multiple polygons.""" + min_x, max_x = geometries[0].min.x, geometries[0].max.x + for geom in geometries[1:]: + if geom.min.x < min_x: + min_x = geom.min.x + if geom.max.x > max_x: + max_x = geom.max.x + return min_x, max_x + + @staticmethod + def _bounding_domain_y(geometries): + """Get minimum and maximum Y coordinates of multiple polygons.""" + min_y, max_y = geometries[0].min.y, geometries[0].max.y + for geom in geometries[1:]: + if geom.min.y < min_y: + min_y = geom.min.y + if geom.max.y > max_y: + max_y = geom.max.y + return min_y, max_y + def _point_in_polygon(self, tolerance): """Get a Point2D that is always reliably inside this Polygon2D. diff --git a/tests/json/polygons_for_alignment.json b/tests/json/polygons_for_alignment.json new file mode 100644 index 00000000..943b0e35 --- /dev/null +++ b/tests/json/polygons_for_alignment.json @@ -0,0 +1 @@ +[{"vertices": [[82.749645966242468, -8.3671573178449687], [82.749645966242468, -8.8680135678449616], [82.749645966242468, -9.3688698178449563], [82.416272200402744, -9.3688698178449563], [82.082898434563006, -9.3688698178449563], [82.082898434563006, -10.590451067844963], [82.082898434563006, -11.812032317844972], [83.716129900402748, -11.812032317844979], [85.349361366242491, -11.812032317844986], [85.417134916242475, 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7.1996579799649236], [21.986495966240696, 7.1996579799649236], [21.986495966239723, 5.777258679360175], [21.986495966238749, 4.3548593787554104], [21.191158466239237, 4.3548593787554131], [20.395820966239711, 4.3548593787554166]], "type": "Polygon2D"}] \ No newline at end of file diff --git a/tests/polygon2d_test.py b/tests/polygon2d_test.py index f1db4073..690ac0e7 100644 --- a/tests/polygon2d_test.py +++ b/tests/polygon2d_test.py @@ -1079,6 +1079,22 @@ def test_boolean_split(): assert len(poly2_dif[0].vertices) == 7 +def test_common_axes(): + """Test the common_axes method""" + geo_file = './tests/json/polygons_for_alignment.json' + with open(geo_file, 'r') as fp: + geo_dict = json.load(fp) + polygons = [Polygon2D.from_dict(p) for p in geo_dict] + + axes = Polygon2D.common_axes( + polygons, Vector2D(1, 0),min_distance=0.15, merge_distance=0.3, + fraction_to_keep=0.2, angle_tolerance=math.pi / 180) + + assert len(axes) == 16 + for item in axes: + assert isinstance(item, LineSegment2D) + + def test_joined_intersected_boundary(): geo_file = './tests/json/polygons_for_joined_boundary.json' with open(geo_file, 'r') as fp: