theorem 17.104 Projection-slice theorem
open in the book ·
parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3566
· p. 712
Rests on
- 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 ¶
Supports
-
depends_on
theorem 17.106
Filtered back-projection in a plane slice
¶
- depends_on proposition 25.59 Homodyne tomography inverts a Radon transform ¶
- depends_on theorem 17.105 Radon inversion in three-dimensional space ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Radon transform | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3578 |
depends_on |
→ | Fourier transform; the treatise convention | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3578 |
depends_on |
← | Filtered back-projection in a plane slice | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3656 |
depends_on |
← | Radon inversion in three-dimensional space | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3611 |
proves |
← | ch:15-fourier-integral-transforms@proof-63 | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3581 |