Geometry Nodes: Initial merge by distance node

This implements a merge by distance operation for point clouds.
Besides the geometry input, there are two others-- a selection
input to limit the operation to certain points, and the merge
distance. While it would be a reasonable feature, the distance
does not support a field currently, since that would make
the algorithm significantly more complex.

All attributes are merged to the merged points, with the values
mixed together. This same generic method is used for all attributes,
including `position`. The `id` attribute uses the value from the
first merged index for each point.

For the implementation, most of the effort goes into creating a
merge map to speed up attribute mixing. Some parts are inherently
single-threaded, like finding the final indices accounting for the
merged points. By far most of the time is spend balancing the
KD tree.

Mesh support will be added in the next commit.

Differential Revision: https://developer.blender.org/D13649

source/blender/blenkernel/BKE_node.h

@@ -1523,6 +1523,7 @@ struct TexResult;
 #define GEO_NODE_FLIP_FACES 1150
 #define GEO_NODE_SCALE_ELEMENTS 1151
 #define GEO_NODE_EXTRUDE_MESH 1152
+#define GEO_NODE_MERGE_BY_DISTANCE 1153
 
 /** \} */
 

source/blender/blenkernel/intern/node.cc

@@ -4802,6 +4802,7 @@ static void registerGeometryNodes()
   register_node_type_geo_join_geometry();
   register_node_type_geo_material_replace();
   register_node_type_geo_material_selection();
+  register_node_type_geo_merge_by_distance();
   register_node_type_geo_mesh_primitive_circle();
   register_node_type_geo_mesh_primitive_cone();
   register_node_type_geo_mesh_primitive_cube();