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Projecting a Lattice of Points

​
a
0.9
b
1.2
c
1
target
point
line
plane
lines
target
plane
n
Project a set of
3
n
3D points to a target:• The center is
1
2
(a,b,c)
.• The line is
x=at
,
y=bt
,
z=ct
, which joins the origin to the center.• The plane is
x
a
+
y
b
+
z
c
=1
, so that
a
,
b
,
c
are the intercepts.
Or project
2
n
points in the
xy
plane:​​• The center is
1
2
(a,b,0)
.​​• The line is
x
a
+
y
b
=1
, double-intercept form.​​• The plane is the
xy
plane, in which case the projection is the identity.
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