SYNOPSIS

polymerge [-v vertex_thresh] [-e edge_thresh] [-f face_thresh] [-V] [-E] [-F] [-d] [-b] [inputfile.off]

DESCRIPTION

Polymerge 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.

-V

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.

-E

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.

-F

Don't attempt to merge faces. (4OFF faces are never merged.)

-b

Produce an output file in .fe format for Brakke's Surface Evolver, instead of a new OFF file.

-d

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.

AUTHOR

Stuart Levy, Geometry Center, University of Minnesota