Geometric Modeling and Mesh Generation from Scanned Images

Yongjie Jessica Zhang

April 20, 2016 Forthcoming by Chapman and Hall/CRC
Reference - 360 Pages - 156 Color
ISBN 9781482227765 - CAT# K22554
Series: Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series

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  • Presents state-of-the-art techniques, including isocontouring and finite element mesh generation
  • Describes real projects involving applications in biomedicine, materials science, and other fields
  • Discusses the latest research advances and challenges
  • Covers all related topics, from imaging to simulation
  • Integrates aspects from mechanical engineering, biomedical engineering, computer science, and mathematics
  • Provides material suitable for senior undergraduate and graduate courses in mechanical engineering, biomedical engineering, and materials science

A solutions manual is available upon qualifying course adoption.


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.