Transcript lens
Psychophysical theories
• Signal detection theory: A psychophysical theory
that quantifies the response of an observer to the
presentation of a signal in the presence of noise
– There are four possible stimulus/response situations in
signal detection theory:
• Hit: Stimulus is presented and observer responds “Yes”
• Miss: Stimulus is presented and observer responds “No”
• False alarm: Stimulus is not presented and observer
responds “Yes”
• Correct rejection: Stimulus is not presented and observer
responds “No”
Detecting a stimulus using the signal detection
theory (SDT) approach (Part 1)
Detecting a stimulus using the signal detection
theory (SDT) approach (Part 2)
Sensitivity to a stimulus: The separation between the distributions of
response to noise alone and to signal plus noise
For a fixed d’, all you can do is change the pattern of your errors by
shifting the response criterion
Summary:
Goal was to connect physical world with psychological states
Limits of our senses: thresholds
Thresholds are not all-or-nothing, they are probabilistic
Depending on attention, intention etc. we can shift perception that
comes with different patterns of errors
A Little Light Physics
• Light: A wave; a stream of photons, tiny particles that each
consist of one quantum of energy
Light: The stimulus for vision
Electromagnetic radiation
structured in waves over
space
energy
Wavelength
amplitude = Intensity
distance
same amplitude
different wavelengths
same wavelength
different amplitude
multiple
wavelengths
(vs. pure)
source
How is light structured?
Why light? Vision as a distance sense
reflected
scattered
absorbed
surfaces,
substances
Light travels straight
fast
far
•good
forabout
image-production
•we can
can know
know
them
immediately
•we
far objects
Some light
gets to eye
The eye captures light reflected from objects
and forms an image on the back of the eye.
How “should” the image be formed?
Problem: Spatial ordering of rays reflected from the
object have to be recovered from the divergent light.
Solution #1:
Allow one ray from each part of the object into the eye.
box with a pinhole
as the eye
Camera Obscura (Alhazen)
Limitation: Doesn’t let in much light—blurry image
Problem: Spatial ordering of rays reflected from the
object have to be recovered from the divergent light.
…while letting in enough light for a clear image.
Solution #2:
Use a lens that refracts light so that rays from
the same point on the object converge.
Allows larger hole
more light
sharper image
Limitation: Clear focus depends on the power of
the lens and angle of divergence of light rays.
Problem: Spatial ordering of rays reflected from the
object have to be recovered from the divergent light
…while letting in enough light for a clear image.
Solution #2:
Use a lens that refracts light so that rays from
the same point on the object converge.
Limitation: Clear focus depends on the power of
the lens and angle of divergence of light rays.
Different distance of object from eye changes
angle of light rays Out of focus for that lens.
Problem: Spatial ordering of rays reflected from the
object have to be recovered from the divergent light
…while letting in enough light for a clear image
…of objects at varying distances.
Solution #3:
Lens with variable optical power changes shape to accommodate the distance of the object to the size of the eye.
The eye as a chamber for capturing light
What properties should the eye have?
Optical parts
Structures for
gathering and
focusing light
cornea
pupil
iris
lens
fovea
Translating parts
Structures for
copying light and
sending signals
Light is focused on light-sensitive photoreceptors of retina that convert
or transduce physical energy into neural activity
•Lens shape can be changed to accommodate to the distance of an object
for focusing on the back of the eye—the retina—centering on the fovea
•Fluid in eye keeps its shape from changing so that focusing properties
are reliable
Focusing-relevant features highlight the importance of the retinal image
The human right eye in cross section (viewed from above)
Eyes That See Light
• Refraction is necessary to focus light
rays and this is accomplished by the
lens
– Accommodation: The process in which
the lens changes its shape, thus altering
its refractive power
– Emmetropia: The happy condition of no
refractive error
So what can go wrong….?
Astigmatism: A visual defect caused by the unequal curving of one
or more of the refractive surfaces of the eye, usually the cornea
So what can go wrong….?
• Retinitis pigmentosa (RP): A family of hereditary
diseases that involves the progressive death of
photoreceptors and degeneration of the pigment
epithelium
– Many people may not notice the onset of retinitis
pigmentosa at first because it primarily affects
peripheral vision
healthy
patient with RP
– Visual field tests for someone with normal vision
compared with someone with retinitis pigmentosa
Next time on Sensation and Perception:
Rods and cones
Dark adaptation
Blind spot
Receptive fields, Mach bands