Geometric Methods in Bio-Medical Image Processing

Ravikanth Malladi

ISBN 10: 3540432167 / ISBN 13: 9783540432166

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 2002, 2002

About this Item

Neuware -showcleverapplicationsinvesseldetectionin3Dmedicaldata. Finally,in Chapter7,A. Sarti,K. Mikula,F. Sgallari,andC. Lamberti,describean- linearmodelfor lteringtimevarying3Dmedicaldataandshowimpressive resultsinbothultrasoundandechoimages. IoweadebtofgratitudetoClaudioLambertiandAlessandroSartifor invitingmetoBologna,andlogisticalsupportfortheconference. Ithank thecontributingauthorsfortheirenthusiasmand exibility,theSpringer mathematicseditorMartinPetersforhisoptimismandpatience,andJ. A. Sethianforhisunfailingsupport,goodhumor,andguidancethroughthe years. Berkeley,California R. Malladi October,2001 Contents 1 FastMethodsforShapeExtractioninMedicaland BiomedicalImaging. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 R. Malladi,J. A. Sethian 1. 1Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 2TheFastMarchingMethod. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 3ShapeRecoveryfromMedicalImages. . . . . . . . . . . . . . . . . . . . . . . . . . 6 1. 4Results. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2 AGeometricModelforImageAnalysisinCytology. . . . . . . 19 C. OrtizdeSolorzano,R. Malladi,S. J. Lockett 2. 1Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2. 2GeometricModelforImageAnalysis. . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2. 3SegmentationofNuclei. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 2. 4SegmentationofNucleiandCellsUsingMembrane-RelatedProtein Markers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2. 5Conclusions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 156 pp. Englisch.

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Bibliographic Details

• Title: Geometric Methods in Bio-Medical Image Processing
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 2002
• Publication Date: 2002
• Language: English
• ISBN 10: 3540432167
• ISBN 13: 9783540432166
• Binding: Buch
• Condition: Neu

About this title

Synopsis

Itgivesmegreatpleasuretoeditthisbook. Thegenesisofthisbookgoes backtotheconferenceheldattheUniversityofBolognainJune1999,on collaborativeworkbetweentheUniversityofCaliforniaatBerkeleyandthe UniversityofBologna. Theoriginalideawastoinvitesomespeakersatthe conferencetosubmitarticlestothebook. Thescopeofthebookwaslater- hancedand,inthepresentform,itisacompilationofsomeoftherecentwork usinggeometricpartialdi?erentialequationsandthelevelsetmethodology inmedicalandbiomedicalimageanalysis. Thesynopsisofthebookisasfollows:Inthe?rstchapter,R. Malladi andJ. A. Sethianpointtotheoriginsoftheuseoflevelsetmethodsand geometricPDEsforsegmentation,andpresentfastmethodsforshapes- mentationinbothmedicalandbiomedicalimageapplications. InChapter 2,C. OrtizdeSolorzano,R. Malladi,andS. J. Lockettdescribeabodyof workthatwasdoneoverthepastcoupleofyearsattheLawrenceBerkeley NationalLaboratoryonapplicationsoflevelsetmethodsinthestudyand understandingofconfocalmicroscopeimagery. TheworkinChapter3byA. Sarti,C. Lamberti,andR. Malladiaddressestheproblemofunderstanding di?culttimevaryingechocardiographicimagery. Thisworkpresentsvarious levelsetmodelsthataredesignedto?tavarietyofimagingsituations,i. e. timevarying2D,3D,andtimevarying3D. InChapter4,L. VeseandT. F. Chanpresentasegmentationmodelwithoutedgesandalsoshowextensions totheMumford-Shahmodel. Thismodelisparticularlypowerfulincertain applicationswhencomparisonsbetweennormalandabnormalsubjectsis- quired. Next,inChapter5,A. EladandR. Kimmelusethefastmarching methodontriangulateddomaintobuildatechniquetounfoldthecortexand mapitontoasphere. Thistechniqueismotivatedinpartbynewadvances infMRIbasedneuroimaging. InChapter6,T. DeschampsandL. D. Cohen presentaminimalpathbasedmethodofgroupingconnectedcomponentsand showcleverapplicationsinvesseldetectionin3Dmedicaldata. Finally,in Chapter7,A. Sarti,K. Mikula,F. Sgallari,andC. Lamberti,describean- linearmodelfor?lteringtimevarying3Dmedicaldataandshowimpressive resultsinbothultrasoundandechoimages. IoweadebtofgratitudetoClaudioLambertiandAlessandroSartifor invitingmetoBologna,andlogisticalsupportfortheconference. Ithank thecontributingauthorsfortheirenthusiasmand?exibility,theSpringer mathematicseditorMartinPetersforhisoptimismandpatience,andJ. A. Sethianforhisunfailingsupport,goodhumor,andguidancethroughthe years. Berkeley,California R. Malladi October,2001 Contents 1 FastMethodsforShapeExtractioninMedicaland BiomedicalImaging...1 R. Malladi,J. A. Sethian 1. 1Introduction...1 1. 2TheFastMarchingMethod...3 1. 3ShapeRecoveryfromMedicalImages...6 1. 4Results...10 References...13 2 AGeometricModelforImageAnalysisinCytology...19 C. OrtizdeSolorzano,R. Malladi,,S. J. Lockett 2. 1Introduction...19 2. 2GeometricModelforImageAnalysis...20 2. 3SegmentationofNuclei...22 2. 4SegmentationofNucleiandCellsUsingMembrane-RelatedProtein Markers...31 2. 5Conclusions...37 References...38 3 LevelSetModelsforAnalysisof2Dand3D EchocardiographicData...43 A. Sarti,C. Lamberti,R. Malladi 3. 1Introduction...43 3. 2TheGeometricEvolutionEquation...45 3. 3TheShock-TypeFiltering...46 3. 4ShapeExtraction...49 3. 52DEchocardiography...52 3. 62D+timeEchocardiography...53 3. 73DEchocardiography...56 3. 83D+timeEchocardiography...58 3. 9Conclusions...59 References...61 4 ActiveContourandSegmentationModelsusing GeometricPDE'sforMedicalImaging...63 T. F. Chan,L. A. Vese 4. 1Introduction...63 4. 2DescriptionoftheModels...64 4. 3ApplicationstoBio-MedicalImages...68 4. 4ConcludingRemarks...68 References...7 0 VIII Contents 5 SphericalFlatteningoftheCortexSurface...77 A. Elad(Elbaz),R. Kimmel 5. 1Introduction...77 5. 2FastMarchingMethodonTriangulatedDomains...80 5. 3Multi-DimensionalScaling...80 5. 4CortexUnfolding...84 5. 5Conclusions...86 References...86 6 GroupingConnectedComponentsusingMinimalPath Techniques...91 T. Deschamps,L. D. Cohen 6. 1Introduction...91 6. 2MinimalPathsin2Dand3D...93 6. 3FindingContoursfromaSetofConnectedComponentsR...96 k 6. 4FindingaSetofPathsina3DImage...102 6. 5Conclusion...103 References...104 7 NonlinearMultiscaleAnalysisModelsforFilteringof 3D+TimeBiomedicalImages...107 A. Sarti,K. Mikula,F. Sgallari,C.

Review

From the reviews:

R. Malladi (ed.)

Geometric Methods in Bio-Medical Image Processing

"This is an excellent monograph on geometric methods in biomedical image processing. I strongly recommend this book to visualization experts in mathematics, computer science and bio-medical applications and to research students on above topics."―JOURNAL OF COMPUTATIONAL METHODS IN APPLIED MATHEMATICS

"This book is based on the conference held at the University of Bologna at June 1999. ... The book gives a good review on some of the traditional applications in medical imagery (CT, MR, Ultrasound). ... This is an excellent monograph on geometric methods in biomedical image processing. I strongly recommend this book to visualization experts in mathematics, computer science and bio-medical applications and to research students on the above topics." (T. E. Simos, Journal of Computational Methods in Sciences and Engineering, Vol. 3 (2), 2003)