Lectures related to Line coordinates

Explains the principles of a polar survey and geomatics elements.

Explores parametric equations in 2D coordinates and their geometric interpretations in different reference frames.

Covers the analytical study of the plan, focusing on points and lines.

Explores coordinate vector operations, from digitizing points to transforming and manipulating geometric spaces using coordinates.

Introduces the basics of image formation, covering analog and digital images, camera geometry, coordinate systems, and camera calibration.

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Explores homogeneous coordinates, emphasizing ellipse and hyperbola properties.

Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.

Explores vorticity equations, advection-diffusion, solid body rotation, and Stokes formula in spherical geometry.

Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.

Covers coordinates, midpoints, and abscissa in analytical geometry, providing practical problem-solving examples.

Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.

Covers 3D transformations, Euler angles, and rotation in computer graphics.

Introduces projective space and algebraic sets, discussing homogeneous coordinates, ideals, and generators.

Explores general conics, motor blocks, and homo coordinates in matrix decomposition and coefficient calculations.

Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.

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

Explores the transformation pipeline from 3D to 2D, covering orthographic and perspective projections.

Explores changing frames in 2D through translations, rotations, and the introduction of a transformation matrix U.

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