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clip - Clip an OOGL object against planes or other surfaces
clip [-v axisx,y,z,...]
[-g value-or-point] [-l value-or-point]
[-s nstrips[,fraction]] [-e]
[-sph centerx,y,z,...] [-cyl centerx,y,z,...]
[ooglfile]
Clip, adapted from Daeron Meyer's ginsu module,
allows clipping an OOGL object against planes, spheres, or cylinders from
the UNIX command line. Its input can come from a file or standard input;
output is written to standard output.
Options specify a function of space position; the output is the
portion of the object where the function is greater or less than some given
value, or the portion lying between two values. Alternatively, an object can
be sliced into equally-spaced strips. Objects may be of any dimension (but
see the BUGS section).
Options are:
- -g
value-or-point
- -l
value-or-point
- Select the portion of the object where the function is greater than
(-g) or less than (-l) the given value. If both are
specified, the result is the portion of the object satisfying both
conditions.
If, rather than a single number, the argument to -l or
-g is a point (a series of x,y,z,... values separated by commas,
with no embedded blanks), then the clipping surface is one chosen to
pass through that point.
- -v
axisx,y,z,...
- Specifies a direction in space. For planar clipping (the default), it's
the plane normal direction; the clipping function is the inner product
between the direction vector and the point on the object. For cylindrical
clipping, -v specifies the direction of the cylinder's axis; the
clipping function is the distance from the axis.
- -sph
centerx,y,z,...
- Clip against spheres centered on x,y,z,.... The clipping function
is the distance from the given center. Coordinates must be separated by
commas without intervening spaces.
- -cyl
centerx,y,z,...
- Clip against cylinders with an axis passing through
centerx,y,z,..., with axis direction given by the -v option.
The clipping function is the distance from the axis.
- -s
nslices[,fraction]
- Clip an object into a series of nslices ribbons spanning its entire
extent -- the range of function-values over the object. Part of each
ribbon is omitted; the fraction, default .5, sets the width of the
visible part of a ribbon compared to the ribbon period. There are a total
of (nslices+fraction-1) ribbon periods across the object, so
e.g. -s 2,.5 slices the object into equal thirds, omitting
the middle third. The output OOGL object is a LIST of OFFs, one per
ribbon.
- -e
- Don't emit a clipped OOGL object, just print two numbers, listing the
minimum and maximum function values for the object. If -g or
-l clipping options are specified, the object is clipped before
determining the function range. If none of the object remains, clip
prints "0 0".
To extract the portion of an object lying below the x+y+z=1
plane:
clip -l 1 -v 1,1,1 file.oogl > portion.oogl
To extract the portion of an object lying in the positive octant
and below the x+y+z=1 plane, we can pipe multiple instances of clip
together to find the intersection of several half-spaces:
clip -g 0 -v 1,0,0 file.oogl | \
clip -g 0 -v 0,1,0 | \
clip -g 0 -v 0,0,1 | \
clip -l 1 -v 1,1,1 > portion.oogl
To find the region lying between two surfaces (either above one
and below the other, or below the first and above the second), say the
planes 2x + y -.5z = 1 and y + 2z = 0:
echo "{ LIST"
clip -v 2,1,-.5 -g 1 file.oogl | clip -v 0,1,2 -l 0
clip -v 2,1,-.5 -l 1 file.oogl | clip -v 0,1,2 -g 0
echo "}"
We use pipelines to compute intersections, and a LIST to form
their union.
Uses anytooff(1) to convert input data to OFF format internally;
this can lose information. The only arbitrary-dimensional form accepted at
present is nOFF, not nSKEL or nMESH. However the four-dimensional 4OFF,
4QUAD, 4MESH, 4VECT, etc. formats should work.
Clip really only clips edges. If a curved clipping surface
cuts an edge twice, or removes only an interior portion of some polygon,
clip misses it entirely. Clipping against a curved surface yields a
straight edge (a chord of the ideal curved edge segment). This latter
failing might be fixed someday.
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