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.
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