Projective geometry
Definition
The mathematical framework describing how 3D points are mapped to 2D image coordinates through the camera model. Lines remain lines, but distances and angles are not generally preserved. Parallel lines meet at a vanishing point.
Related terms
- Camera calibration
- The process of determining the camera's intrinsic parameters: focal length, principal point, and lens distortion coefficients. Calibration can be done from a...
- Homography
- A 3x3 projective transformation matrix that maps one plane to another. For a flat scene (a floor, a wall, a road surface),...
- Structure-from-Motion (SfM)
- A photogrammetric technique in which overlapping images from a drone or camera, processed by software, generate a three-dimensional point cloud and textured...
- Uncertainty propagation
- The mathematical process of carrying measurement errors through a calculation to estimate the error in the final result. For photogrammetric measurements, it...
- Vanishing point
- The image point where a set of parallel real-world lines converges due to perspective. Identifying vanishing points for multiple sets of parallel...
Explained in
- Photogrammetry and Metric Analysis from ImagesThe mathematical framework describing how 3D points are mapped to 2D image coordinates through the camera model. Lines remain lines, but distances and angles a...