Table of Contents:
  • Introduction and Pipelines Introduction Pipelines and Five Topics Challenges and Advances
  • Review of Numerical Methods Introduction Linear and Nonlinear Algebraic Equations Curve Fitting Ordinary Differential Equations Eigenvalue Problems Partial Differential Equations Numerical Integration Fourier Analysis Optimization
  • Scanning Techniques and Image Processing Scanning Techniques Basic Operations FilteringSegmentation Registration
  • Fundamentals to Geometric Modeling and Meshing Fundamentals Geometric Objects and Transformations Curves and Surfaces Spline-Based Modeling 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 Quality Improvement
  • 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 Quality Improvement
  • Volumetric T-Spline Modeling Introduction 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 DevelopmentsMultiscale Biomolecular Modeling Patient-Specific Geometric Modeling for Cardiovascular SystemsApplications in Materials Science.