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Euler integration over definable functions
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DOI：10.1073/pnas.0910927107.png)
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Abstract
En 中文
We extend the theory of Euler integration from the class of constructible functions to that of tame R-valued functions (definable with respect to an o-minimal structure). The corresponding integral operator has some unusual defects (it is not a linear operator); however, it has a compelling Morse-theoretic interpretation. In addition, it is an advantageous setting in which to integrate in applications to diffused and noisy data in sensor networks.
Keywords:
definable functions
Euler characteristic
o-minimal structures
sensor network
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10.8W
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73.5W
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