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The conventional suffix for OFF files is .off.
Syntax:
[ST][C][N][4][n]OFF # Header keyword
[Ndim] # Space dimension of vertices, present only if nOFF
NVertices NFaces NEdges # NEdges not used or checked
x[0] y[0] z[0] # Vertices, possibly with normals,
# colors, and/or texture coordinates, in that order,
# if the prefixes N, C, ST
# are present.
# If 4OFF, each vertex has 4 components,
# including a final homogeneous component.
# If nOFF, each vertex has Ndim components.
# If 4nOFF, each vertex has Ndim+1 components.
...
x[NVertices-1] y[NVertices-1] z[NVertices-1]
# Faces
# Nv = # vertices on this face
# v[0] ... v[Nv-1]: vertex indices
# in range 0..NVertices-1
Nv v[0] v[1] ... v[Nv-1] colorspec
...
# colorspec continues past v[Nv-1]
# to end-of-line; may be 0 to 4 numbers
# nothing: default
# integer: colormap index
# 3 or 4 integers: RGB[A] values 0..255
# 3 or 4 floats: RGB[A] values 0..1
OFF files (name for "object file format") represent collections
of planar polygons with possibly shared vertices, a convenient way to
describe polyhedra. The polygons may be concave but there's no
provision for polygons containing holes.
An OFF file may begin with the keyword OFF; it's
recommended but optional, as many existing files lack this keyword.
Three ASCII integers follow: NVertices, NFaces, and NEdges. Thease are the number of vertices, faces, and edges, respectively. Current software does not use nor check NEdges; it needn't be correct but must be present.
The vertex coordinates follow: dimension * Nvertices
floating-point values. They're implicitly numbered 0 through
NVertices-1. dimension is either 3 (default) or 4 (specified by
the key character 4 directly before OFF in the keyword).
Following these are the face descriptions, typically written with one line per face. Each has the form
N Vert1 Vert2 ... VertN [color]
Here N is the number of vertices on this face, and Vert1 through VertN are indices into the list of vertices (in the range 0..NVertices-1).
The optional color may take several forms. Line breaks are significant here: the color description begins after VertN and ends with the end of the line (or the next # comment). A color may be:
For the one-integer case, the colormap is currently read from the file cmap.fmap in Geomview's data directory. Some better mechanism for supplying a colormap is likely someday.
The meaning of "default color" varies. If no face of the object has a color, all inherit the environment's default material color. If some but not all faces have colors, the default is gray (R,G,B,A=.666).
A [ST][C][N][n]OFF BINARY format is accepted; See Binary format. It resembles the ASCII format in almost the way you'd expect,
with 32-bit integers for all counters and vertex indices and 32-bit
floats for vertex positions (and texture coordinates or vertex colors or
normals if
COFF/NOFF/CNOFF/STCNOFF/etc. format).
Exception: each face's vertex indices are followed by an integer indicating how many color components accompany it. Face color components must be floats, not integer values. Thus a colorless triangular face might be represented as
int int int int int
3 17 5 9 0
while the same face colored red might be
int int int int int float float float float
3 17 5 9 4 1.0 0.0 0.0 1.0