Geometric Camera Models

  •  3D Coordinate Systems
  • Homogeneous Coordinates
  • Algebraic Plane equations and their relation to Homogeneous coordinates via the Hessian normal form.
  • 3D Rotation and Translation
  • 3D Coordinate systems
  • 3D Coordinate system changes
  • Relation between 2D and 3D coordinate systems
  • Homogeneous coordinate systems and their transformations

 

 Camera Parameters

  • Intrinsic Parameters
  • Extrinsic Parameters
  • Camera standard coordinate systems
  • Expressing the image plane points as a function of 3D scene points
  • Putting the extrinsic and intrinsic parameters into the projection equations.

 Orthographic Camera Model

Perspective Camera Model

Weak Perspective Camera Model

Affine Camera Model