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title tags
06-homographies
lecture
cosc342

Homographies and mosaics

  • A homography* is:
    • A linear map between two planes (or views of a plane)
    • A 3 x 3 matrix, up to a scale
  • Two images of a scene are related by a homography
    • If the scene is planar, or
    • If the camera only rotates
  • |300

Homographies for planar scenes

  • Take a line in one view
  • This projects to a plane
  • That intersects the scene (another plane) at a line
  • That projects to a line in the other image
  • So lines are preserved
  • |300

[!INFO] can create a "straight" view of a picture!

|300

[!INFO] homography: maps points from one image to another

[!INFO] rephotography, mathing old photographs onto the current view of the user

homography for rotating camera |300

[!INFO] K matric describe parameters of camera. R matric describes rotation of camera. T is zero because the camera is only rotating. H is the homograhy matrix