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Coordinate Frames and Projection · Lesson 18

What Camera Intrinsics Mean

The same world point moves in the image after changing the lens.

Watch the lesson

What Camera Intrinsics Mean explained visually

1:13

The same world point moves in the image after changing the lens. English captions are optional and start off. The complete transcript follows the written lesson.

Lesson overview

What you will learn

The same world point moves in the image after changing the lens.

  1. A practical question
  2. The useful idea
  3. Work through the example
  4. Limits and next step
01

A practical question

Two cameras watch the same parking space, but the painted lines appear at different pixel positions even when the cameras sit at the same place. Part of the reason lies inside each camera: its focal scale and principal point.

02

The useful idea

Camera intrinsics describe how a direction reaching the camera becomes image coordinates. The focal lengths are usually expressed in pixel units for this mapping, and the principal point marks where the optical axis meets the image plane in the ideal model. Image width alone doesn't tell us these values. Lens distortion needs its own treatment.

03

Work through the example

Take a known straight parking line, project a few points using one calibrated camera, and compare with the actual image. Swap in another camera's intrinsics and watch the mismatch. That makes the parameters more than numbers in a matrix: they explain where evidence lands.

04

Limits and next step

Record the image size and calibration associated with the intrinsics. Next, we'll move the camera itself and see how its position and orientation change the view.

Worked example

Compare two focal lengths while keeping the camera pose and world point fixed.

Knowledge check

Quick check: test your understanding

Try it yourself: In the situation described above, explain the method and one reason its output might be misleading.

Check the reasoning

Intrinsics describe focal lengths, principal point, and often pixel-axis skew in the camera projection. Intrinsics describe a camera model, not the position of the camera in the lot.

What is the main idea behind what camera intrinsics mean?

Intrinsics describe focal lengths, principal point, and often pixel-axis skew in the camera projection.

How is it used in the example?

Compare two focal lengths while keeping the camera pose and world point fixed.

What limitation should be checked?

Intrinsics describe a camera model, not the position of the camera in the lot.

Further reading

Programming Computer Vision with Python — Jan Erik Solem.

Original ToolsInVision teaching examples. Editorial approach · Suggest a correction

Accessible referenceLesson 18 transcript164 words · Video transcript · Matches the published narration and captionsOpen transcript

Two cameras watch the same parking space, but the painted lines appear at different pixel positions even when the cameras sit at the same place. Part of the reason lies inside each camera: its focal scale and principal point.

Camera intrinsics describe how a direction reaching the camera becomes image coordinates. The focal lengths are usually expressed in pixel units for this mapping, and the principal point marks where the optical axis meets the image plane in the ideal model. Image width alone doesn't tell us these values. Lens distortion needs its own treatment.

Take a known straight parking line, project a few points using one calibrated camera, and compare with the actual image. Swap in another camera's intrinsics and watch the mismatch. That makes the parameters more than numbers in a matrix: they explain where evidence lands.

Record the image size and calibration associated with the intrinsics. Next, we'll move the camera itself and see how its position and orientation change the view.