Advanced Computational Geometry
( 24 Modules )

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

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Advanced Computational Geometry ( 24 Modules )

Advanced Computational Geometry
( 24 Modules )