Lectures related to Discrete geometry

Covers affine subspaces, lines, planes, intersections, cross product, and distance calculations in vectorial geometry.

Explores sphere properties, projections, and symmetry, including apparent contours and missing projections of points.

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Explores the Cayley-Bacharach theorem in incidence geometry and introduces elliptic curves with a commutative law.

Explores Bézout's theorem and Cayley-Bacharach, discussing intersection multiplicities and linear combinations in projective geometry.

Explores the fundamentals of attenuation correction in biomedical imaging and simplifies the process using the geometric mean at 180°.

Demonstrates creating a pavilion using a topological cube in TopSolid, emphasizing geometric accuracy and practical modeling techniques.

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.

Explores vector and normal equations, covering lines, intersections, and distances in 2D and 3D geometry.

Covers fundamental concepts in geometric computing, exploring stability, vector spaces, barycentric coordinates, and triangle meshes.

Explores using space technology to observe cities and assess citizens' quality of life.

Explores Minkowski's theorems on lattices, volumes, and set comparisons.

Covers the basics of descriptive geometry and the method of Monge for spatial representation.

Explores the analysis and construction of Gothic surfaces, focusing on intricate geometrical details and techniques used in architectural design.

Explores singularities in curves, including inflection points and points of reversal, and discusses the evolution of torsion along curves.

Covers SQL queries for exploring spatial geometries and their properties in a database.

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.