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Bezier Curves: Fundamentals and Applications

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

Finite Element Method: Galerkin Method

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

Meshing Algorithms and Incompatible Meshes

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

Automatic Vectorization

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

Geometric Modeling: Splines and Deformation

Explores geometric modeling using splines and freeform deformation for creating smooth surfaces and deformable objects in 3D space.

Meshing: Mesh Quality Metrics

Discusses mesh quality metrics in numerical flow simulation and provides guidelines for choosing the right mesh.

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

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

Closest Vector Problem: Voronoi Cells

Explores the Closest Vector Problem and Voronoi cells in lattice reduction algorithms.

Building surfaces from equilateral triangles

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