theorem 17.105 Radon inversion in three-dimensional space
open in the book ·
parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3601
· p. 712
Rests on
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depends_on
theorem 17.32
Fourier inversion
¶
- depends_on definition 17.29 Fourier transform; the treatise convention ¶
- depends_on equation 17.42 eq:ft-gaussian ¶
- proves proof ch:15-fourier-integral-transforms@proof-20 ¶
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depends_on
theorem 17.104
Projection-slice theorem
¶
- depends_on definition 17.103 Radon transform ¶
- depends_on definition 17.29 Fourier transform; the treatise convention ¶ ↺
- proves proof ch:15-fourier-integral-transforms@proof-63 ¶
- proves proof ch:15-fourier-integral-transforms@proof-64 ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Fourier inversion | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3611 |
depends_on |
→ | Projection-slice theorem | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3611 |
proves |
← | ch:15-fourier-integral-transforms@proof-64 | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3614 |