Version 4 (modified by 7 years ago) ( diff ) | ,
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Goal is to integrate various functions along lines of sight which is constrained to be in the y-z plane.
Each pixel will be given by the integral of the function along the path
where
For 3D we just need to create the expressions in visit, create the lineouts, and then integrate the resulting query
For 2.5D, we need to transform the integral along
into an integral in the plane.the value at
is the same as the value rotated into the xy plane at
or at
where
and
so we can write the integral as
$\int F(x'(s)
and we have
which under the substitution gives
Assume jet is oriented along
and that we are integrating along the directionwhere
is the angle of inclination.We are interested in calculating the integral of
, , and whereIf
this is just , , andIf
then we have to tilt the integral and calculate using the expression above.
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