MSU CSE 803 Stockman Perspective algebra Geometry of similar triangles yields algebra for computing world-image transformation.

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Presentation transcript:

MSU CSE 803 Stockman Perspective algebra Geometry of similar triangles yields algebra for computing world-image transformation.

MSU CSE 803 Stockman Camera looking down 90 deg

MSU CSE 803 Stockman General trans in 3D Camera coord sys 3D object point in camera coord sys Image point in camera coord sys

MSU CSE 803 Stockman notes Similar triangles mean mapping is from mm in world to mm in image Or inches in world to inches in image Can convert mm to pixels “nominal resolution” is patch of world that images to a pixel

MSU CSE 803 Stockman Perspective vs orthographic projection Orthographic is often used in design and blueprints. True (scaled) dimensions can be taken from the image

MSU CSE 803 Stockman Future work in Chs 12 and 13 Model 2 cameras to get stereo model Model camera and projector for structured light Use world coordinate system and relate camera model to it via rotation and translation