Chapman and Hall/CRC
354 pages | 156 Color Illus.
Cutting-Edge Techniques to Better Analyze and Predict Complex Physical Phenomena
Geometric Modeling and Mesh Generation from Scanned Images shows how to integrate image processing, geometric modeling, and mesh generation with the finite element method (FEM) to solve problems in computational biology, medicine, materials science, and engineering. Based on the author’s recent research and course at Carnegie Mellon University, the text explains the fundamentals of medical imaging, image processing, computational geometry, mesh generation, visualization, and finite element analysis. It also explores novel and advanced applications in computational biology, medicine, materials science, and other engineering areas.
One of the first to cover this emerging interdisciplinary field, the book addresses biomedical/material imaging, image processing, geometric modeling and visualization, FEM, and biomedical and engineering applications. It introduces image-mesh-simulation pipelines, reviews numerical methods used in various modules of the pipelines, and discusses several scanning techniques, including ones to probe polycrystalline materials.
The book next presents the fundamentals of geometric modeling and computer graphics, geometric objects and transformations, and curves and surfaces as well as two isocontouring methods: marching cubes and dual contouring. It then describes various triangular/tetrahedral and quadrilateral/hexahedral mesh generation techniques. The book also discusses volumetric T-spline modeling for isogeometric analysis (IGA) and introduces some new developments of FEM in recent years with applications.
"Congratulations to the first reference and textbook for a new interdisciplinary approach to image-based engineering and science. The book covers all topics ranging from imaging, image processing, geometric modeling, and mesh generation, to simulation and applications. It is an excellent textbook for both senior undergraduate and graduate students, researchers, and engineers in aerospace, biomedical, civil, materials science, and mechanical engineering."
—Wing Kam Liu, PhD, PE, Walter P. Murphy Professor of Mechanical and Civil Engineering, Northwestern University
"Professor Zhang’s book on image-derived geometric modeling and meshing will be an indispensable resource for researchers in computational biology and medicine where mesh-generation is a critical bottle neck. The author covers state-of-the-art methods such as isogeometric analysis and T-splines while providing a thorough background and ample practical examples for interdisciplinary readership."
—Andrew D. McCulloch, Distinguished Professor of Bioengineering and Medicine, University of California, San Diego
"This is a wide-ranging book, bringing together a set of topics not yet covered in a single book. It will give a graduate student or advanced undergraduate a solid foundation to understand a modern pipeline, which collects data from the real world and performs an engineering analysis of it, particularly biomedical data. Topics covered include numerical methods and basic geometric computations, various different 2D and 3D image capture techniques, image preprocessing, surface and volume mesh extraction, T-splines for geometric modeling, and various finite element methods for engineering analysis. The book is to be commended in its cross-discipline approach, including topics from math, computer science, and engineering. Students often just consider each topic in isolation but are not shown how the pieces fit together to make a whole. This book will give them the big picture."
—Ralph Martin, Cardiff University
Introduction and Pipelines
Pipelines and Five Topics
Challenges and Advances
Review of Numerical Methods
Linear and Nonlinear Algebraic Equations Curve Fitting
Ordinary Differential Equations
Partial Differential Equations
Scanning Techniques and Image Processing
Fundamentals to Geometric Modeling and Meshing
Geometric Objects and Transformations
Curves and Surfaces
Isocontouring and Visualization
Image-Based Triangular and Tetrahedral Mesh Generation
A Review of Unstructured Triangular and Tetrahedral Meshing
Octree-Based Triangular and Tetrahedral Meshing from Images
Resolving Topology Ambiguities
Image-Based Quadrilateral and Hexahedral Mesh Generation
A Review of Unstructured Quadrilateral and Hexahedral Meshing
Octree-Based Quadrilateral and Hexahedral Meshing from Images
Sharp Feature Preservation for CAD Assemblies
Octree vs RD-Tree Based Adaptive Hexahedral Meshing
Volumetric T-Spline Modeling
Converting Unstructured Quadrilateral and Hexahedral Meshes to T-Splines
Polycube-Based Parametric Mapping Methods
Eigenfunction-Based Surface Parameterization
Truncated Hierarchical Catmull-Clark Subdivision Modeling
Weighted T-Spline and Trimmed Surfaces
Incorporating T-Splines into Commercial Software
Finite Element and Isogeometric Analysis Applications
Introduction to Finite Element Method and Its New Developments
Multiscale Biomolecular Modeling
Patient-Specific Geometric Modeling for Cardiovascular Systems
Applications in Materials Science