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Basic concepts

 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 up previous print clean
Next: SPATIAL MAPPING BETWEEN INPUT Up: Rickett, et al.: STANFORD Previous: Introduction
Stanford Exploration Project
7/5/1998