polymerge - merge coincident vertices, collinear edges, coplanar faces
in an OOGL OFF object
] [-e edge_thresh
eliminates redundancies from polyhedral objects in OOGL's
OFF format, and writes another OFF object to its standard output.
(Optionally it can produce instead an input file for Brakke's Evolver.)
Specifically, it combines nearly-coincident vertices,
nearly-collinear edges, and nearly-coplanar faces. Vertices
which aren't used on any face are deleted, as are faces with less than
three vertices. Thresholds for approximate equality are adjustable from the
command line. Options are:
- -v vertex_thresh
Merge vertices when they're closer than vertex_thresh apart;
the default is .00001.
Don't attempt to merge vertices.
- -e edge_thresh
Merge edges where |sin(vertex_angle)| < edge_thresh; the default is
When edges are merged, the corresponding vertex is removed.
Don't attempt to merge edges. (4OFF edges are never merged.)
- -f face_thresh
Merge faces sharing an edge where the faces are nearly coplanar: when
|sin(angle_between_face_normal_vectors)| < face_thresh.
The default is .03, or about two degrees. Note that merging
can create faces which are concave polygons.
Don't attempt to merge faces. (4OFF faces are never merged.)
Produce an output file in .fe format for Brakke's Surface Evolver,
instead of a new OFF file.
Include debugging information as comments in the new OFF object.
The comments indicate which vertices and faces in the original object
correspond to which in the new one. Messages include:
- # Vtx nnn->mmm
Merged vertices nnn and mmm (both indices in the original object).
- # Merged face nnn into mmm (vertices vvv www) n1.n2 s
Faces nnn and mmm in the original object were merged;
their common edge joined original vertices vvv and www.
The cosine of the angle between the face normals was s.
- vertex coordinates # newvertno [order] # oldvertno
Each vertex written appears with its new index, its order (number of
edges touching that vertex), and its old index (index of a corresponding
vertex in the original object).
- face description # oldvertno ...
For each new face, with N vertices after reduction,
the comment indicates N corresponding vertices in the original object.
Stuart Levy, Geometry Center, University of Minnesota
Coplanar faces are merged even if they were assigned different colors.
Should be able to handle binary OFF objects, but this hasn't been tested.