Spatial Vision Flashcards
Spatial vision is
- concerned with variations in luminance across space
- of fundamental importance in routine eye care
- visual systems ability to detect and resolve luminance-defined stimuli
The simplest spatial stimulus
Sine-wave gratings
Why are sine wave gratings the simplest spatial stimulus
Serve as building blocks to construct more complex stimuli
What do the sine wave gratings consist of
Alternating bright and dark bars
What does the peak of the luminance profile correspond to
A bright bar of the grating
What does the trough of the luminance profile correspond to
A dark bar
What kind of transition is it from the bright to dark bars in a sine wave grating
Gradual (sinusoidal), not an abrupt transition
What is spatial frequency of a grating specified by
- the number of cycles/degree of visual angle (frequency)
- the number of cycles per unit of space (contrast)
Two characteristics of a sine-wave grating are _____ and _______
Frequency and contrast
What does the amplitude of the sine-wave grating mean
Intensity or brightness
Is the amp higher or lower when the contrast is higher
Higher
Difference between dark and bright
Contrast
Formula for contrast
(Delta I)/Iave
Delta I=the difference between the peak and average luminance
Iave= the average luminance of the grating (the average of the light peaks and the dark troughs)
Michaelson equation for contrast
(Imax-Imin)/(Imax +Imin)
What does contrast range between
0 and 100%
Contrast cannot be lower than 0% and higher than 100%
The intensity distribution of a lens forming an image of a sine-waving grating
In the image plane, it will also form a sine wave
The spatial frequcny of the lens forming an image of a sine-wave grating
Depends on the magnification of the lens
What does the modulation depth of a lens forming an image of a sine-wave grating depend on
The quality of the lens
What does high magnification do to the image of a sine-wave grating
Low mag=high frequency
For a real lens, as the spatial frequency of the object (and therefore in image) because greater and greater, the amplitude of modulation of the image distribution becomes
Smaller and smaller
What happens to contrast info when spatial frequency increases
Decrease
What is important to understand optical transfer function (OTF)
Resolution and contrast
An imaging systems ability to distinguish object detail
Resolution
How faithfully the minimum and maximum intensity values are transferred from object plane to image plane
Contrast or modulation
MTf of a perfect lens
1, not possible
What does the OTF include
Is a complex quantity that includes both the modulation transfer function (MTF) and the phase transfer function (PTF)
OTF=MTF+PTF
The amplitude of A’ of the image divided but the amplitude A of the object and it is a function of spatial frequency
Modulation transfer function (MTF)
MTF=A’/A=1
What is MTF normalized to
1
This is a function of spatial resolution, which refers to the smallest line-pair the system can resolve
MTF
Measurement of a lens ability to transfer contrast at a particular resolution from the object to the image
MTF
MTF is a way to incorporate what into a single specification
Resolution and contrast
As line spacing decreases (freq increasing) on the test target, it becomes increasingly difficult for the lens to efficiently transfer this decrease in contrast, as a result:
MTF decreases
Those aberrations that produce a transverse shift produce an effective phase shift in the image. The phase shift across a range of spatial frequencies is the
Phase transfer function
When is there not phase transfer function
In an on-axis in a rotationally symmetric optical system, there is no change in phase with spatial frequency.
OTF=MTF in these situations
Lens transfer information (contrast)=
Image contrast/object contrast
MTF _______ when there is a high spatial frequency
decreases
Aberrations effect on optical image quality and different spatial frequencies
Have comparatively little effect on optical image quality at low and moderate spatial frequencies as compared to high frequencies
Optics that overceom aberrations are called
Diffraction limited optics
Low spatial frequency: image transfer fidelity
High
Low spatial frequency: image degradation
Little
Med spatial frequency: image transfer fidelity
High-med
Med spatial frequency: image degradation
Little
High spatial frequeny: image transfer fidelity
Low
High spatial frequency: image degradation
More (due to aberrations)
What is the human SMTF often referred to
Contrast sensitivity function (CSF) because sensitivity, not image contrast, is measured
A point at which the grating first appears to be seen by the patient in the SMTF (CSF)
Contrast threshold
The reciprocal of the contrast threshold is the ________ for the grating
Contrast sensitivity
How is sensitivity determined for the SMTF (CSF)
For a large number of diffferent spatial frequencies, resulting in a graph that shows contrast sensitivity as a function of spatial frequency, a CSF
What is maximum sensitivity (SMTF, CSF)
4 cycles per degree
As the spatial frequency of a 100% contrast grating is increases, a point is reached where the grating can no longer be resolved. This point is represented on the CSF as the
High frequency cut off
The high frequency cut off for humans
60 cylces/degree
Peak contrast at spatial freq of ______ and freq cut off of ______
4 cyc/degree
60 cyc/degree
The larger the letter on the smelled chart
Lower spatial frequency
The smaller the letter on the snellen chart, the _______ the spatial frequency
Higher
What is the VA for 60 cyc/degree
20/10
What does the typical clinical acuity measurement test
Only a very limited aspect of the patients spatial vision, the high spatial frequency cutoff
Why does the visual system show a reduction in sensitivity for high frequencies
Optical limitations
The packing density of retinal photoreceptors
How to optical limitations affect the sensitivity at higher spatial frequencies?
Any optical system, including the eye, manifests a high frequency limitation because of optical aberrations, this is the case even when the eye is in focus
Why is the packing density of retinal photoreceptors a factor that reduced sensitivity at higher spatial frequencies
- the coarse matrix could not resolve grating
- the finer matrix could, however, resolve this grating because the photoreceptors are packed sufficiently densely to allow bright bars to fall on alternate rows of photoreceptors (nyquist)
What happens to the high frequency cutoff if the eye is out of focus, such as in uncorrected myopia
There is a reduction in the high frequency cut off, which manifests itself as decreases VA
A typical ganglion cell receptive field
Consists of a center region that responds to illumination with either excitation or inhibition and a surround region that responds with the opposite sign. The result is spatial antagonism, which is also called lateral inhibition
For the receptive field, light falling on the center
Causes excitation, while light falling on the surround causes inhibition
A lower spatial frequency where the bright bar falls on both the receptive fields center and surround, causes what
Lateral inhibition, results in a smaller response
______ may be the basis for the CSFs low-frequency drop off
Lateral antagonism
VA determined with optptyprs is equivalent to
CSF H-F cutoff
The angle that just resolvable bars (or gaps) make with the eye is called the
Minimum angle of resolution (MAR)
What is the detail of the letter E (MAR)
5
The combination of the bar and a gap, which is equivalent to one complete cycle of grating
Is twice the MAR
E has 2.5
The numerator in snellen fraction
Distance at which the measurement is taken
The denominator in the snellen fraction
Is the foot-size of the smallest optotype the patient can resolve
What is the expected Hugh-frequency cutoff of a patient with a 20/40 acuity
(1 cycle/4arc)(60arc/1 degree)=15 cycles/degree
Snellen 20/40 is equivalent to 15 cycles/degree
H-F cutoff VA calculation
(0.5 degrees/60)(60arc/degree)=0.5arc
20/10
Test-retest variability (TRV)
- a pts VA may vary upon repetition even when there has been no change in the pts viual status
- standard VA optotypes are constituted of both low and high spatial frequencies
- low spatial freq content is an important contributor to TRV
- a new test designed to correct this potential source of variability removes low spatial freq from the optotypes, creating what are called high pass optotypes, and places them on a background of the same average luminance
Vanishing optotypes