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TitleGeometric Methods in Bio-Medical Image Processing [electronic resource] / edited by Ravikanth Malladi
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002
Connect tohttp://dx.doi.org/10.1007/978-3-642-55987-7
Descript VIII, 147 p. online resource

CONTENT

1 Fast Methods for Shape Extraction in Medical and Biomedical Imaging -- 1.1 Introduction -- 1.2 The Fast Marching Method -- 1.3 Shape Recovery from Medical Images -- 1.4 Results -- References -- 2 A Geometric Model for Image Analysis in Cytology -- 2.1 Introduction -- 2.2 Geometric Model for Image Analysis -- 2.3 Segmentation of Nuclei -- 2.4 Segmentation of Nuclei and Cells Using Membrane-Related Protein Markers -- 2.5 Conclusions -- References -- 3 Level Set Models for Analysis of 2D and 3D Echocardiographic Data -- 3.1 Introduction -- 3.2 The Geometric Evolution Equation -- 3.3 The Shock-Type Filtering -- 3.4 Shape Extraction -- 3.5 2D Echocardiography -- 3.6 2D + time Echocardiography -- 3.7 3D Echocardiography -- 3.8 3D + time Echocardiography -- 3.9 Conclusions -- References -- 4 Active Contour and Segmentation Models using Geometric PDEโ{128}{153}s for Medical Imaging -- 4.1 Introduction -- 4.2 Description of the Models -- 4.3 Applications to Bio-Medical Images -- 4.4 Concluding Remarks -- References -- 5 Spherical Flattening of the Cortex Surface -- 5.1 Introduction -- 5.2 Fast Marching Method on Triangulated Domains -- 5.3 Multi-Dimensional Scaling -- 5.4 Cortex Unfolding -- 5.5 Conclusions -- References -- 6 Grouping Connected Components using Minimal Path Techniques -- 6.1 Introduction -- 6.2 Minimal Paths in 2D and 3D -- 6.3 Finding Contours from a Set of Connected Components Rk -- 6.4 Finding a Set of Paths in a 3D Image -- 6.5 Conclusion -- References -- 7 Nonlinear Multiscale Analysis Models for Filtering of 3D + Time Biomedical Images -- 7.1 Introduction -- 7.2 Nonlinear Diffusion Equations for Processing of 2D and 3D Still*Images -- 7.3 Space-Time Filtering Nonlinear Diffusion Equations -- 7.4 Numerical Algorithm -- 7.5 Discussion on Numerical Experiments -- 7.6 Preconditioning and Solving of Linear Systems -- References -- Appendix. Color Plates


Mathematics Radiology Visualization Mathematics Visualization Biomedicine general Imaging / Radiology



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