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Sensing and the Imaging Process
              (II)


      Introduction to Computational and Biological Vision

                        CS 202-1-5261

              Computer Science Department, BGU

                       Ohad Ben-Shahar
The human eye
The human eye
The human eye

Pinhole camera model
The human eye

          Pinhole camera model: Basic geometry




                                                 Optical axis
Image
plane



                                      Virtual
                                      Image
        Pinhole
                                      plane
        (center of projection)
The human eye

                          Pinhole camera model: Perspective projection

                                                                           P = ( x, y , z )

                                           Pi = ( xi , yi , f )
                                f

Pi = (− xi ,− yi ,− f )               O




                                                                                x
                                                          xi yi f      xi = f ⋅ z
                 OPi = λ ⋅ OP       ⇒         λ=            = =     ⇒ 
                                                          x  y z                 y
                                                                       yi = f ⋅
                                                                                z
The human eye

                  Pinhole camera model: Perspective projection




Durer (c. 1500)
The human eye

Pinhole camera model: Basic geometry




   Recovery of structure is ill defined
The human eye




       The retina:
The biological image plane
The human eye

           Aside – Neural signaling and communication




                         Cerebellar                 Cerebellar
Retinal bipolar cell                               Purkinje cell
                        pyramidal cell
The human eye

Aside – Neural signaling and communication
The human eye

Aside – Neural signaling and communication
The human eye

                                       The retina

Variety of cells:
     Photoreceptors: ~100 million (95% rods,5% cones)
     Bipolar cells
     Ganglion cells
     Amacrine cells
     Horizontal cells


Optic nerve:
     Made of axons of secondary (ganglion) neurons
     ~1 million axons
The human eye

A defective design?




         Light
The human eye

The optic disk and the blind spot
The human eye

The optic disk and the blind spot
The human eye

     Rods and cones
     Rods:
         •Extremely sensitivity to light
         •Single photon response
         •Low spatial resolution
         •Single response profile
         •B&W night vision (scotopic)


     Cones:
         •Relatively insensitive to light
         •100 photos for response comparable with rods
         •High spatial resolution
         •Different (3 types of) response profiles
         •Color daylight vision (photopic)
The human eye

 Rods and cones
The human eye

            Rods and cones




        )
    t (S




                        M)
                      m(
  or




                             Long
Sh




                     d iu
                   Me




                               L) (
The human eye

Rods and cones: distribution across the retina
The human eye

         The fovea (“pit”)
            •Extremely high density of cone receptors
            •Few rods. None in the foveola.
            •Displaced neural layers
            •No blood vessels
            •1-1 relationship with bipolar and ganglion cells




1.2 mm
The human eye

The fovea: distribution of optic fibers

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The human eye: An introduction to its sensing and imaging processes

  • 1. Sensing and the Imaging Process (II) Introduction to Computational and Biological Vision CS 202-1-5261 Computer Science Department, BGU Ohad Ben-Shahar
  • 4. The human eye Pinhole camera model
  • 5. The human eye Pinhole camera model: Basic geometry Optical axis Image plane Virtual Image Pinhole plane (center of projection)
  • 6. The human eye Pinhole camera model: Perspective projection P = ( x, y , z ) Pi = ( xi , yi , f ) f Pi = (− xi ,− yi ,− f ) O  x xi yi f  xi = f ⋅ z OPi = λ ⋅ OP ⇒ λ= = = ⇒  x y z y  yi = f ⋅  z
  • 7. The human eye Pinhole camera model: Perspective projection Durer (c. 1500)
  • 8. The human eye Pinhole camera model: Basic geometry Recovery of structure is ill defined
  • 9. The human eye The retina: The biological image plane
  • 10. The human eye Aside – Neural signaling and communication Cerebellar Cerebellar Retinal bipolar cell Purkinje cell pyramidal cell
  • 11. The human eye Aside – Neural signaling and communication
  • 12. The human eye Aside – Neural signaling and communication
  • 13. The human eye The retina Variety of cells: Photoreceptors: ~100 million (95% rods,5% cones) Bipolar cells Ganglion cells Amacrine cells Horizontal cells Optic nerve: Made of axons of secondary (ganglion) neurons ~1 million axons
  • 14. The human eye A defective design? Light
  • 15. The human eye The optic disk and the blind spot
  • 16. The human eye The optic disk and the blind spot
  • 17. The human eye Rods and cones Rods: •Extremely sensitivity to light •Single photon response •Low spatial resolution •Single response profile •B&W night vision (scotopic) Cones: •Relatively insensitive to light •100 photos for response comparable with rods •High spatial resolution •Different (3 types of) response profiles •Color daylight vision (photopic)
  • 18. The human eye Rods and cones
  • 19. The human eye Rods and cones ) t (S M) m( or Long Sh d iu Me L) (
  • 20. The human eye Rods and cones: distribution across the retina
  • 21. The human eye The fovea (“pit”) •Extremely high density of cone receptors •Few rods. None in the foveola. •Displaced neural layers •No blood vessels •1-1 relationship with bipolar and ganglion cells 1.2 mm
  • 22. The human eye The fovea: distribution of optic fibers