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Geometric Methods in Bio-Medical Image Processing by Ravikanth Malladi, Paperback | Indigo Chapters

From Ravikanth Malladi

Current price: $160.95
Geometric Methods in Bio-Medical Image Processing by Ravikanth Malladi, Paperback | Indigo Chapters
Geometric Methods in Bio-Medical Image Processing by Ravikanth Malladi, Paperback | Indigo Chapters

From Ravikanth Malladi

Geometric Methods in Bio-Medical Image Processing by Ravikanth Malladi, Paperback | Indigo Chapters

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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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 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 | Geometric Methods | Geometric Methods in Bio-Medical Image Processing by Ravikanth Malladi, Paperback | Indigo Chapters

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