Lectures related to 3D Transformations: Basics and Euler Angles

Covers 2D transformations, linear maps, matrices, affine transformations, and orthogonal transformations.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

Introduces tools for manipulating and analyzing 3D point clouds using CloudCompare software.

Explores rotation in analytical geometry, including center coordinates and fixed points.

Explores changing bases for rotations, orthogonal planes, and vector transformations under rotation.

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Covers the concept of 2D rotations and their analytical expressions.

Covers the laws of transformation of speeds and accelerations, including the rotation of points and dynamic movement principles.

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Covers the preservation of isometry by rotations and symmetries.

Explores Galilean transformations in spacetime, focusing on measurements and coordinate transformations.

Explores ray-triangle intersection, barycentric coordinates, points vs. vectors, and other primitives.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Explores kinematics and dynamics of rigid bodies, including Euler angles and moment of inertia.

Covers angular momentum in rotations, including preservation of angles and vector products.

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

Covers the basics of kinematics, including joint coordinates, operational variables, wrist configurations, and geometric models.

Delves into modern geometry, covering transformations, isometries, and symmetries.