Purely Functional Data Structures

Sincetheadventofcomputerizedtomographyinradiology,manyimagingtechniqueshavebeenintroducedinmedicine,science,andtechnology.Thisbookdescribesthestateoftheartofthemathematicaltheoryandnumericalanalysisofimaging.Theauthorssurveyandprovideaunifiedviewofimagingtechniques,providethenecessarymathematicalbackgroundandcommonframework,andgiveadetailedanalysisofthenumericalalgorithms.Thisbooknotonlyreflectsthetheoreticalprogressandthegrowthofthefieldinthelast10yearsbutalsoservesasanexcellentreference.Itwillprovidereaderswithasuperiorunderstandingofthemathematicalprinciplesbehindimagingandwillenablethemtowritestate-of-the-artsoftwareasaresult.Someoftheapplicationscoveredinthebookincludecomputerizedtomography,magneticresonanceimaging,emissiontomography,electronmicroscopy,ultrasoundtransmissiontomography,industrialtomography,seismictomography,impedancetomography,andNIRimaging.