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     POLYMERGE(1)     Geometry Center (25 July 1993)	  POLYMERGE(1)

     NAME
	  polymerge - merge coincident vertices, collinear edges,
	  coplanar faces in an OOGL OFF object

     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

     Page 1					    (printed 12/22/98)

     POLYMERGE(1)     Geometry Center (25 July 1993)	  POLYMERGE(1)

	       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

     SEE ALSO
	  anytooff(1), offconsol(1)

     BUGS
	  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.

     Page 2					    (printed 12/22/98)

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