Module #1 Introduction to Computational Geometry Overview of the field, importance, and applications of computational geometry
Module #2 Geometry Fundamentals Review of basic geometric concepts:points, vectors, lines, planes, and polyhedra
Module #3 Computational Models Discrete vs. continuous models, algebraic and geometric representations
Module #4 Data Structures for Geometry Overview of data structures used in computational geometry:arrays, lists, trees, and graphs
Module #5 Geometric Algorithms:Basic Concepts Introduction to algorithm design and analysis in computational geometry
Module #6 Point Location and Search Algorithms for point location, range searching, and nearest neighbor search
Module #7 Line Segment Intersection Algorithms for line segment intersection, including Bentley-Ottmann and sweep-line algorithms
Module #8 Convex Hulls Algorithms for computing convex hulls, including Grahams scan and gift wrapping
Module #9 Delaney Triangulation Algorithms for computing Delaney triangulations and applications
Module #10 Voronoi Diagrams Algorithms for computing Voronoi diagrams and applications
Module #11 Geometric Search and Range Searching Algorithms for range searching, including k-d trees and range trees
Module #12 Polygon Decomposition and Clipping Algorithms for polygon decomposition and clipping
Module #13 Geometric Optimization Algorithms for geometric optimization, including linear and nonlinear programming
Module #14 Computational Topology Introduction to computational topology, including topological invariants and applications
Module #15 Mesh Generation and Triangulation Algorithms for mesh generation and triangulation, including Delaunay and constrained Delaunay
Module #16 Geometric Data Analysis Algorithms for geometric data analysis, including PCA, clustering, and dimensionality reduction
Module #17 Computational Geometry in Computer Vision Applications of computational geometry in computer vision, including feature extraction and object recognition
Module #18 Computational Geometry in Robotics Applications of computational geometry in robotics, including motion planning and collision detection
Module #19 Computational Geometry in Geographic Information Systems (GIS) Applications of computational geometry in GIS, including spatial analysis and query processing
Module #20 Computational Geometry in Computer-Aided Design (CAD) Applications of computational geometry in CAD, including geometric modeling and analysis
Module #21 Advanced Topics in Geometric Algorithms Specialized topics in geometric algorithms, including kinetic data structures and implicit equations
Module #22 Computational Geometry in Machine Learning Applications of computational geometry in machine learning, including geometric deep learning and manifold learning
Module #23 Computational Geometry in Human-Computer Interaction Applications of computational geometry in human-computer interaction, including gesture recognition and augmented reality
Module #24 Course Wrap-Up & Conclusion Planning next steps in Advanced Computational Geometry career
