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The Genkir3D package simplifies the implementation of several
integral operators because it implements the features
common to a wide class of integral operators,
but, at the same time,
it enables the user to specify the distinguishing features
of the desired operator.
Mathematically, integral operators are mainly differentiated by the
shape of the summation surfaces and the values of the
amplitude terms associated with the summation surface.
Because both the input and output spaces are sampled,
anti-aliasing is another important component of integral operators.
Users of Genkir3D can specify all these characteristics
of integral operators by writing appropriate functions.
Another practical, but important, differentiation,
is the ``optimal'' type of spatial mapping between the input
and the output data.
Some operators are best applied as spraying operators,
while others are best applied as gathering operators.
This section explains the basic concepts
on how to specify the summation surfaces
and the spatial mapping.
We start with the description
of the available spatial mappings
because the specifications of the summation surfaces
depend on the chosen spatial mapping.
Next: SPATIAL MAPPING BETWEEN INPUT
Up: Biondi: Genkir3D toolkit
Previous: Introduction
Stanford Exploration Project
7/5/1998