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Projective Geometry and Camera Models in Computer Vision, Lecture notes of Computer Science
An introduction to projective geometry and camera models in the context of computer vision. Topics covered include the pinhole camera model, vanishing points and lines, projection matrices, and homogeneous coordinates. The document also includes information on the history of camera technology and the importance of these concepts in computer vision applications such as object recognition and inserting photographed objects into images.
Typology: Lecture notes
2012/2013
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Administrative Stuff • • • TextbookMatlab TutorialOffice hours – – James: Monday and Wednesday, 1pm to 2pmGeoff, Monday 7-9pm
• Project 1 is out^ –^ –^ –^ Paul, Tuesday 7-9pmSam, Wednesday 7-9pmEvan, Thursday 7-9pm Docsity.com
Last class: intro • • • Overview of vision, examples of state of artComputer Graphics: Models to ImagesComp. Photography: Images to Images
• Computer Vision: Images to Models Docsity.com
Today’s class Mapping between image and world coordinates – – Pinhole camera modelProjective geometry
– Projection matrix^ •^ Vanishing points and lines Docsity.com
Today’s class: Camera and World Geometry How tall is this woman?
How high is the camera? What is the camerarotation? What is the focal length ofthe camera? Which ball is closer? Docsity.com
Pinhole camera
Slide source: Seitz^ Idea 2: add a barrier to block off most of the rays^ –^ –^ This reduces blurringThe opening known as the^ aperture Docsity.com
Pinhole camera
Figure from Forsyth
f
f = focal length c = center of the camera^ c Docsity.com
Camera Obscura used for Tracing Lens Based Camera Obscura, 1568 Docsity.com
First Photograph Oldest surviving photograph – Took 8 hours on pewter plate
Niepce later teamed up with Daguerre, who eventually created Daguerrotypes^ Joseph Niepce, 1826^ Photograph of the first photograph^ Stored at UT Austin Docsity.com
Projection can be tricky… Slide source: Seitz
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Projection can be tricky… Slide source: Seitz
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Length is not preserved