“Radon Transform--Cylinder”的概念、定义、习题解题方法及翻译-数学辞典

单词

Radon Transform--Cylinder

释义

Radon Transform--Cylinder

Let the 2-D cylinder function be defined by

(1)

Then the Radon transform is given by

(2)

where

(3)

is the Delta Function.

Now write

(5)

with

a phase shift. Then

Then use

(7)

which, with

, becomes

(8)

Define

so the inner integral is

			(12)
			(13)

and the Radon transform becomes

Converting to

using

which could have been derived more simply by

(16)

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