Lectures related to Rigid transformation

Covers the analytical expression of orthogonal projections and reflections in 2D space.

Explores the concept of inversion relative to a circle and its applications in constructing orthogonal circles.

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.

Explores the complexity of rotations in 3D space, covering moment of force, energy equivalence, and cross product matrices.

Covers the conversion and applications of spherical coordinates in mathematical and physical contexts.

Explores virtual displacements, reaction forces, and work on rigid bodies.

Explores the normalization of three reflection planes in geometry through rotor-reflections and glided reflections.

Explores the mechanics of a dumbbell system on a frictionless surface, covering kinematics, forces, dynamics, and equilibrium conditions.

Covers image registration and transformation using MultiStackReg plugin in Fiji.

Explores reflections in the plane with an orthonormal coordinate system and the properties of the reflection transformation.

Explores conformal maps, hyperbolic geometry, and isometric properties of disks.

Covers the analysis of static (rigid) structures, including equilibrium and free-body diagrams.

Explores projections on lines and symmetries in 2D space, emphasizing fixed points and symmetric matrices.

Explores local frames in navigation and cartography, emphasizing mathematical expressions and spatial relationships.

Explores Coxeter groups, reflections, fundamental regions, and classification by Coxeter graphs.

Explores geometric examples of triangles and functions, demonstrating the variation of x and y within defined ranges.

Reviews Coxeter groups, reflections, rotations, and fundamental regions in finite orthogonal transformations.

Explores geometric quantization in representation theory, focusing on SO3(R) acting on R³ and homogenous polynomials.

Covers the concept of rigid displacement and potential energy, emphasizing continuity between elements and the importance of conforming to the mesh.