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Page 1: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This

Camera Projections

Page 2: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 3: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 4: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 5: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 6: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 7: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 8: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 9: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This

Before describing the forward projection…

Image formation

• How are objects in the world captured in an image?

Page 10: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This

Image formation

• Let’s design a camera

– Idea 1: put a piece of film in front of an object

– Do we get a reasonable image?

Slide by Steve Seitz

Page 11: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This

Pinhole camera

Slide by Steve Seitz

• Add a barrier to block off most of the rays

– This reduces blurring

– The opening is known as the aperture

– How does this transform the image?

Page 12: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This

• Add a barrier to block off most of the rays

– This reduces blurring

– The opening is known as the aperture

– How does this transform the image? If we treat pinhole as a point, only one ray from any given point can enter the camera.

Slide by Steve Seitz

Page 13: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This

• Pinhole camera is a simple model to approximate imaging process, perspective projection.

Fig from Forsyth and Ponce

If we treat pinhole as a point, only one ray from any given point can enter the camera.

Virtual image

pinhole

Image plane

Page 14: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This

Camera obscura

"Reinerus Gemma-Frisius, observed an eclipse of the sun at Louvain on January 24, 1544, and later he used this illustration of the event in his book De Radio Astronomica et Geometrica, 1545. It is thought to be the first published illustration of a camera obscura..." Hammond, John H., The Camera Obscura, A Chronicle

http://www.acmi.net.au/AIC/CAMERA_OBSCURA.html

In Latin, means ‘dark room’

Page 15: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This

Camera obscura

Jetty at Margate England, 1898.

Adapted from R. Duraiswami

http://brightbytes.com/cosite/collection2.html

Around 1870s An attraction in the late 19th century

Page 16: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 17: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This

We will start here in the middle, since it relates to the image formation process we just discussed.

Page 18: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 19: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 20: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 21: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 22: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 23: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 24: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 25: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 26: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 27: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 28: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 29: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 30: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 31: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 32: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 33: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 34: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 35: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 36: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 37: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 38: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 39: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 40: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 41: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 42: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 43: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 44: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 45: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 46: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 47: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 48: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 49: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This
Page 50: Camera Projections - Tel Aviv Universitydcor/Graphics/cg-slides/CameraProjections.pdf · Pinhole camera Slide by Steve Seitz •Add a barrier to block off most of the rays –This