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B.1 Triangular Patterns
An arbitrary triangle consisting of three points
{(x_{1}, y_{1}),(x_{2}, y_{2}),(x_{3}, y_{3})} in
^{2} can always be
transformed to the unit triangle
{(0, 0),(1, 0),(0, 1)} by

(B.2) 
The module of the determinant of the transformation matrix
equals

(B.3) 
Using (B.2), the integral (B.1) writes
for triangular patterns to
whereby TRI1 refers to the unit triangle
and the coefficients
,
and
are
given by
The function
I_{}(,) is calculated as
follows:^{a}

(B.5) 
Footnotes
 ...
follows:^{a}
 The function
si(x) is defined as
si(x).
Next: B.2 Rectangular Patterns
Up: B. Analytical Fourier Transformations
Previous: B. Analytical Fourier Transformations
Heinrich Kirchauer, Institute for Microelectronics, TU Vienna
19980417