Reconstructing Kite Position and Rotation from a Single Camera Image

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SUMMARY

The discussion focuses on calculating the position and rotation of a kite using a single camera image. The kite measures 1 meter in width and 3 meters in height, while the camera has a resolution of 800x600 pixels and a horizontal field of view of 45°. Participants suggest utilizing matrix transformations rather than trigonometry for accurate calculations, emphasizing the importance of knowing the pixel coordinates of the kite's corners in the image.

PREREQUISITES
  • Understanding of basic geometry and trigonometry
  • Familiarity with matrix transformations
  • Knowledge of camera specifications and image resolution
  • Ability to interpret pixel coordinates in digital images
NEXT STEPS
  • Research matrix transformations for 2D graphics
  • Learn about camera projection models and their applications
  • Study techniques for extracting 2D coordinates from images
  • Explore software tools for image processing and analysis
USEFUL FOR

This discussion is beneficial for computer vision engineers, robotics developers, and anyone involved in image processing or 3D modeling who seeks to understand the relationship between 2D images and 3D object positioning.

velcrome
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Image a kite (1 m wide, 3 m high, both crossing at a third of the height).
Also imagine a digital camera (800x600 pixel with a horizontal field of view of 45°).

After launching the kite a photo is taken with the camera.

How can I easily calculate the exact position *and* rotation of the kite in a vectorspace defined by the camera at the moment the picture was taken?
I tried with trigonometry but failed. I assume there is an easier way with matrices but i don't know how. I appreciate any help.

*velcrome
 
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??Given what information?
 
there are four corners of the kite with precise pixel values in the picture.

and of course, the dimensions of the kite and the specifications of the camera is known.
 

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