本書匯集了六篇關(guān)于斷層成像以及相關(guān)反問題的數(shù)學(xué)方面的文章,它們都來自拉東變換和反問題的應(yīng)用短期課程的演講內(nèi)容。這六篇文章分別為:X射線斷層成像與拉東變換入門、計(jì)算機(jī)斷層成像算法的發(fā)展、扇形波束斷層掃描與抽樣理論、拉東型廣義變換及其應(yīng)用、管道檢測中的反問題、隨機(jī)介質(zhì)中的穩(wěn)健的(抗干擾)干涉成像。在本書的第三篇文章中,阿德爾·法里達(dá)尼(AdelFaridani)抽樣理論把應(yīng)用到X射線斷層成像之中,他描述了應(yīng)該測量多少和哪些線積分才能在重建圖像中實(shí)現(xiàn)所需的分辨率。
Preface
GESTUR OLAFSSON AND ERIC TODD QUINTO
An Introduction to X-ray Tomography and Radon Transforms
ERIC TODD QUINTO
Development of Algorithms in Computerized Tomography
ALFRED K. LOUIS
Fan-Beam Tomography and Sampling Theory
ADEL FARIDANI
Generalized Transforms of Radon Type and Their Applications
PETER KUCHMENT
Inverse Problems in Pipeline Inspection
PETER MASSOPUST
Robust Interferometric Imaging in Random Media
LILIANA BORCEA
Index