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These are a grayscale image of myself, its X-ray transform, the unfiltered back-projection, and the filtered back-projection.

This picture describes:
- the interaction of the X-ray transforms (CT scannar data) of two circles (the boundaries of two disks of a cross section)
- the propagations of them in the filtered-back projection (CT image)

Four points in the above become tangent lines along which the singularities arising from the interactions propagate.

🇮🇩 Indonesia
🇵🇱 Poland
🇸🇬 Singapore

The ResearchGate told me that my paper has just been published online.

Hiroyuki Chihara
Microlocal analysis of d-plane transform on the Euclidean space
SIAM Journal on Mathematical Analysis, 54(6) (2022), pp.6254-6287
doi.org/10.1137/21M1442322

in
November 21
0:00 UTC-5 = 14:00 JST(UTC+9)

data sourced by
- Johns Hopkins Coronavirus Resource Center
bit.ly/3Et8eLH
- Japanese Ministry of Health, Labor and Welfare
bit.ly/3A6vWLa

Are bats Fourier integral operators?

Simmons, J.A., Stein, R.A.
Acoustic imaging in bat sonar: Echolocation signals and the evolution of echolocation
J. Comp. Physiol. 135 (1980), 61–84
doi.org/10.1007/BF00660182

This video describes the relationship between a grayscale image (cross-sectional view) and its X-ray converted image (CT scanner data).

Julia Programming Language: X-ray transform (CT scanner data) revised - YouTube youtube.com/watch?v=grz1ixWEqg

These are a grayscale image of myself, its X-ray transform, the unfiltered back-projection, and the filtered back-projection.

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