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STEREO VISION AND EPIPOLAR GEOMETRY INDUSTRIAL ELECTRONICS COMPUTER VISION Dr. G.C.Karras Control Systems Lab, NTUA This presentation is based on the slides: “Multiple View Geometry”, Richard Hartley and Andrew Zisserman CVPR June 1999

IE Stereo Vision - NTUA

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Page 1: IE Stereo Vision - NTUA

STEREO VISION AND EPIPOLAR GEOMETRY

INDUSTRIAL ELECTRONICS

COMPUTER VISION

Dr. G.C.Karras

Control Systems Lab, NTUAThis presentation is based on the slides: “Multiple View Geometry”, Richard Hartley and Andrew Zisserman CVPR June 1999

Page 2: IE Stereo Vision - NTUA

TWO VIEW GEOMETRY

Dr. G.C.Karras

Page 3: IE Stereo Vision - NTUA

CORRESPONDENSE GEOMETRY

Dr. G.C.Karras

Page 4: IE Stereo Vision - NTUA

EPIPOLAR GEOMETRY

Dr. G.C.Karras

l'l

Page 5: IE Stereo Vision - NTUA

EPIPOLAR GEOMETRY EXAMPLE

Dr. G.C.Karras

Stereo Configuration with Parallel Cameras (side by side)

Left Camera view Right Camera view

This is the most common stereo configuration

Left Image Right Image

Page 6: IE Stereo Vision - NTUA

MATRIX NOTATION FOR VECTOR

PRODUCT

Dr. G.C.Karras

Page 7: IE Stereo Vision - NTUA

FUNDAMENTAL MATRIX F

Definition & Properties

Dr. G.C.Karras

Page 8: IE Stereo Vision - NTUA

COMPUTATION OF THE

FUNDAMENTAL MATRIX

Dr. G.C.Karras

Page 9: IE Stereo Vision - NTUA

COMPUTATION OF THE

FUNDAMENTAL MATRIX

Dr. G.C.Karras

n correspondences

Page 10: IE Stereo Vision - NTUA

FUNDAMENTAL MATRIX EXAMPLES

Dr. G.C.Karras June 2015

Page 11: IE Stereo Vision - NTUA

FUNDAMENTAL MATRIX EXAMPLES

Dr. G.C.Karras

Page 12: IE Stereo Vision - NTUA

FUNDAMENTAL MATRIX EXAMPLES

Dr. G.C.Karras

Page 13: IE Stereo Vision - NTUA

TRIANGULATION

Dr. G.C.Karras

Page 14: IE Stereo Vision - NTUA

TRIANGULATION

Dr. G.C.Karras

Page 15: IE Stereo Vision - NTUA

RECOVERING DEPTH

Image Reconstruction

Dr. G.C.Karras

Page 16: IE Stereo Vision - NTUA

RECOVERING DEPTH

Image Reconstruction

Dr. G.C.Karras