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Computational geometry

Related lectures (31)

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Radiation Impedance of Piston on Screen

Explores the radiation impedance of a piston on a screen using COMSOL Multiphysics, focusing on resistance, mass, and impedance expressions.

Tessellation: SMLM Data Analysis

Explores tessellation for SMLM data analysis, covering Voronoi segmentation and colocalization principles, applications in various fields, and integration of quantification methods.

Catalan Numbers: Theory and Applications

Explores Catalan numbers in cutting polygons, parenthesis structures, and Dyck paths.

Automatic Vectorization MOOC: Geographical Information Systems 1

Covers automatic vectorization in geographic information systems, including structure detection, polygonization, and automatic tracing.

Acoustic Radiation of Vibrating Sphere

Explores the simulation of sound radiation from a pulsating sphere and the monopole using COMSOL Multiphysics.

Discrete variables: Geometric properties MOOC: Geographical Information Systems 2

Covers geometric properties of discrete variables in GIS, including location, size, and shape.

Building surfaces from equilateral triangles

Explores the construction of Riemann surfaces from equilateral triangles and the dynamics of finite-type maps.

Local Homeomorphisms and Coverings

Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.

Multi-Object Grasping in the Plane

Explores multi-object grasping in the plane, comparing its advantages over single-object grasping and proposing efficient grasp planning conditions.

Discrete Variables: Geometric Properties

Covers the geometric properties of discrete variables in geographic information systems, focusing on shape, location, and size indices.

Triangle Meshes: Ray Tracing and Spatial Data Structures Log in to Mediaspace to watch this video

Delves into Phong Lighting, deepfake technology, triangle meshes, and spatial data structures for ray tracing.

Bezier Curves II Log in to Mediaspace to watch this video

Covers Bezier curves, de Casteljau Algorithm, properties, derivatives, splines, and end-points.

Involutes and Bezier Curves Log in to Mediaspace to watch this video

Explores involutes and Bezier curves, essential in computer-aided design.

Bezier Curves: Control Points and Regularity Log in to Mediaspace to watch this video

Explores Bezier curves, emphasizing control points and curve regularity.

Geometry and Meshing Log in to Mediaspace to watch this video

Covers the basics of geometry modeling and meshing for numerical flow simulation, including mesh quality metrics and different meshing algorithms.

Parametric Curves: Basics and Applications Log in to Mediaspace to watch this video

Covers the basics of parametric curves, including straight lines, quadratic curves, Bézier curves, and cubic curves.

Bezier Curves: Fundamentals and Applications Log in to Mediaspace to watch this video

Introduces Bezier curves, covering generation algorithms, control points interpretation, and practical applications in design and fonts.

Finite Element Method: Galerkin Method Log in to Mediaspace to watch this video

Covers the Galerkin method in the Finite Element Method for solving non-homogeneous Dirichlet problems.

Meshing Algorithms and Incompatible Meshes Log in to Mediaspace to watch this video

Covers free meshing algorithms, partitioning, and incompatible meshes in 3D simulations, emphasizing the importance of mesh quality and element compatibility.