Spatial Vision Flashcards
Define Spatial Vision. Provide an example of the clinical application of spatial vision
- Defined: the ability of visual system to detect (or discriminate) and resolve (luminance-defined) stimuli of various size & contrasts
- Clinical assessment of spatial vision is part of routine eye care
- Example: VA measurement – determination of spatial resolution a highly sensitive measure of visual function
- Concerned with variations in luminance across space
- Measured with sine-wave gratings of varying spatial frequency and contrast
- Clinically assessed using VA & Contrast sensitivity tests
- The visual system is evolved to detect & recognize objects from patterns of light and dark on the retina
Is absolute luminance or relative luminance more important in spatial vision?
- Absolute luminance is less important in spatial vision than relative luminance (contrast) levels because luminance levels vary greatly in the environment, but relative luminance’s (contrast) for visual stimuli do not
- The visual system responds to the luminance differences (contrast) as the boundaries between objects and their background, which is the basis for brightness constancy
Define Visual Acuity.
- Measures the smallest detail that can be resolved & recognized
- It measures our ability to see objects/targets of different size at high contact (i.e., of different spatial frequency)
- One point on the CSF
Define Contrast Sensitivity.
- A psychophysical measure used to assess the sensitivity of the visual system to spatial luminance changes of various spatial frequencies
- Provides a more comprehensive test of spatial vision compared to VA
- CS is measured by finding the lowest contrast needed to see light/dark gratings of varied fineness or spatial frequency
Define luminance (L) and its unit.
- The physical amount of light emitted by a source of reflected from an illuminated object
- Unit of measure: candela per square meter, cd/m2
Define brightness. What affects brightness perception?
- Aka. Intensity
- The perception of a luminous object by the human visual system
- Perception of brightness can be affected by:
- Adaptation
- Aftereffects
- The presence or absence of other objects in the visual field
Define Contrast.
- Aka. Contrast Threshold
- Refers to the difference in luminance between an object (Lmax) and its background (Lmin) where the object is typically brighter than the background
- Contrast can be defined by: ∆I / Laverage
- ∆I = difference between peak and average luminances (Lmax – Lavg)
- Laverage = the average luminance of the grating (the average of light peaks and dark troughs)
- Though useful, not practical for the measurement of contrast
Define modulation (M). How is it calculated?
- The contrast of a repeating pattern, commonly referred to as grating, where it is not apparent which part of the pattern is the “object” and which is the “background”
- Example: a series of light (Lmax) and dark (Lmin) stripes, as in the zebra
- Calculated as the ratio of the difference of the luminances to the sum of the luminances
- M = (Lmax – Lmin) / (Lmax + Lmin)
- Where the luminance is measured across the spatial extent of each component part of the pattern
- M = (Lmax – Lmin) / (Lmax + Lmin)
- Alternatively, modulation can be expressed by the mathematically equivalent ratio of the difference between maximal and average luminances to the average luminance (Lavg), i.e. modulation (contrast) = ∆I / Lavg
- M = (Lmax – Lmin) / Lavg, where Lavg = (Lmax + Lmin) / 2
Describe CS Test designs.
- Most manufacturers of CS tests refer to their charts and instruments as presenting stimuli at certain “contrast” levels, also mention modulation
- Correct usage: modulation values
- Chart 5016 designated for Low Vision: uses the upper 12 contrast levels ranging from 0 – 1.65 log CS (100% to 2.2% Weber)
- Chart 5017 designated for Peak Contrast Sensitivity: uses the lower 12 contrast levels ranging from 0.6 – 2.25 log CS (25% - 0.56% Weber)
What is a logarithm? Describe the use of Logarithm in CSF.
- The logarithm of a number represents that value as a power of 10. Mathematically, it is much easier to characterize the range
- For CSF, because of the potentially large ranges of responses for both spatial frequency and sensitivity, the data is commonly plotted on logarithmic scales on both axes
- This results in the characteristic inverted-U shape of the function
Contrast Threshold (CT)
- The least amount of contrast that can be seen (or resolved by the patient) in a chart (expressed in %) = Weber contrast in letter chart
- The maximum contrast is 100% contrast (Snellen compared to 10% Bailey-Lovie chart)
- The optotypes of the visual acuity charts are close to the maximum contrast
Contrast Sensitivity (CS)
- The reciprocal of contrast threshold (CS = no units)
- CS = 1/CT
Log Contrast Sensitivity (Log CS)
- “Log of CS” converts the CS values to a linear scale
- Suitable for comparisons between levels of contrast sensitivity
- Smaller the log CS values = poorer the patients CS
Spatial Frequency
- Refers to the number of light/dark cycles per degree (c/deg) of visual angle (i.e., components of a repeating pattern, or grating, occur within a given area or space) on the retina
Gratings
- Usually defined by gradual sine-wave (i.e., sinusoidal) variations in luminance
Contrast Threshold (CT) to Contrast Sensitivity (CS)
CT = 1/CS
Contrast Sensitivity (CS) to Contrast Threshold (CT)
CS = 1/CT
Contrast Sensitivity (CS) to Log Contrast Sensitivity (logCS)
LogCS = log of CS
Log Contrast Sensitivity (logCS) to Contrast Sensitivity (CS)
CS = 10logCS
Name and describe the 3 types of contrast.
- Weber Contrast is preferred for Letter Stimuli
- Michelson Contrast is preferred for Gratings
- RMS Contrast is preferred for Natural Stimuli
Weber Contrast
- Weber Contrast = (Lb – Lt) / Lb
- Lb = luminance of background
- Lt = luminance of target
- Commonly used in cases where small target/features are present on a large uniform background
- Weber contrast is preferred for letter stimuli
- the measure is also referred to as Weber fraction
Michelson Contrast
- Michelson Contrast = (Lmax – Lmin) / (Lmax + Lmin) = ∆L / Lavg
- Preferred for gratings
- Incorporates the maximum and minimum luminance
Describe the Scales of Weber vs. Michelson Contrast.
- On both scales:
- 0% indicates the absence of contrast
- 100% indicates the theoretical maximal contrast
- For values between the two scales differ
- In the range from 1% to 10%, which is the range most used for clinical measurements, the Weber contrast values are about 2x the Michelson values
- The log(CS) values differ by 0.3
- In the range from 1% to 10%, which is the range most used for clinical measurements, the Weber contrast values are about 2x the Michelson values
What is RMS Contrast?
- Root Mean Square (RMS) Contrast – does not depend on the angular frequency content or the spatial distribution of contrast in the image
- Defined as the standard deviation of the Pixel Intensities
- Not used clinically, but for image processing/analysis
How do we study the complex processes of spatial vision?
- The sensitivity of the visual system to spatial luminance changes is measured with sine-wave gratings of varying spatial frequency and contrast
What is Sine wave? Why do we use sine waves?
- Sine wave (or sinusoid) – a mathematical curve that describes a smooth repetitive oscillation
- Sine waves are characterized by their spatial frequency (dark/light stripes in a given distance @ cycles/deg), contrast, and their phase
- Sine wave grating – alternating bright and dark bars
- The transition from bright to dark is gradual
Why do we use sine waves?
- When passed through an optical system, they maintain shape even after degradation (defocus, aberration, diffraction) and only change in contrast (amplitude) and phase (luminance remains sinusoidal)
- Sine wave gratings constitute the building blocks of complex periodic waveforms
- A sine wave grating is more useful for studying the thresholds of the visual system than any other waveform because it is composed of a SINGLE spatial frequency
What are the elements used to describe sine-wave gratings?
- Frequency
- Wave cycles:
- Low spatial frequency, high spatial frequency, SAME CONTRAST
- The spatial frequency of a grating can be specified by giving the number of cycles/degree of visual angle
- Wave cycles:
- Contrast
- Same spatial frequency – but vary in low and high contrast gratings
- Average luminance (Lave) is the same for both the gratings
- Higher contrast is indicated by a larger difference between its peak and the average luminance
- Phase
- Refers to the position of a sine wave grating with respect to another sine wave grating
- In phase: the peak and troughs of the luminance profiles are in alignment
- 180˚ out of phase: the peaks of one luminance profile aligns with troughs of other profile
- Orientation
- Describes the angle made by a grating with respect to a reference (such as the horizontal, vertical)
Describe Fourier Transformation.
- Mathematical process that involves transforming a signal (function_ from the spatial domain to frequency domain
- Image processing, signal detection
- Sine waves of the proper frequency, contrast, phase, and orientation can be used to contrast complex stimuli
- Square wave grating – luminance profiles shows abrupt changes between bright and dark bars “step” changes in luminance
How do you construct a square wave in Fourier Analysis?
- Square wave can be constructed by adding together appropriate sine waves
- Sine wave that is of the same frequency as square wave is referred as fundamental
- Addition of the fundamental sine wave and the odd numbered harmonics (3rd and 5th) produces a square wave
- Adding all the ODD numbered harmonics (up to infinity) to the fundamental will produce perfect square wave
What are Harmonics?
- Higher frequency sine waves
- 3rd harmonics has 3x the frequency of the fundamental and 1/3rd of its contrast
- 5th harmonics has 5x the frequency of the fundamental and 1/5th of its contrast
What is Fourier Analysis?
- Can determine the component sine waves and contrasts of complex waveforms
What is Fourier Synthesis?
- Can construct SQUARE WAVE GRATING using the component sine waves and contrasts
Why did we learn about Fourier transformation in this topic?
- Our visual system is believed to act as a Fourier analyzer: the visual system is thought to deconstruct the retinal image into its spatial frequency components
What is MTF? How does it change for High and Low spatial frequency?
- MTF is the ability of an optical system to produce an accurate image of an object
- MTF = Image modulation (contrast) / Object modulation (contrast)
- The ratio of the image modulation to the object modulation for a given spatial frequency
- For low spatial frequencies, the image blur is hardly noticeable
- For high spatial frequencies, the image is almost fully obscured
Why will an image never be a perfect representation of an object?
- Diffraction
- Chromatic and monochromatic aberrations
- Focus and power errors
Define SMTF in the optical system.
- SMTF = image quality
- Simple lenses (e.g., spectacles) or complex lens systems (e.g., telescopes and cameras), the modulation transfer function (MTF) gives the modulation transfer for all possible spatial frequencies
What is the MTF of the human visual system?
- CSF
- Neural and cortical processing and the optics of the eye contribute to the final outcome of the CSF
How can we quantify the precision with which an optical lens (system) transfers information?
- Grating of specific spatial frequency and contrast (as object)
- Image contrast is measured
- The ratio = image quality (MTF)
- This procedure is repeated for a spectrum of spatial frequencies ranging from low to high to get SMTF
What MTF provides the best image quality?
- MTF = 0 to 1, where 1 = best image quality
How does SMTF change with lens in focus, lens in defocus, and translucent lens?
- For a Lens in Focus:
- Low and moderate frequencies are unaffected, the image is transferred with good fidelity as aberrations (in the optical system) have very little or no effect in lower spatial frequencies and typically affect higher spatial frequencies
- For a Lens in Defocus:
- Reduction in image quality in higher spatial frequencies
- For a Translucent Lens:
- Equal degradation at all spatial frequencies
What is CSF? What is the range and peak of adult CSF?
- Depicts an observer’s sensitivity (i.e., 1/CT) to sinusoidal bar gratings of widely varied spatial frequency
- The human SMTF is referred as contrast sensitivity function (CSF) because sensitivity (and not image contrast) is measured
How do you measure CSF?
- Spatial grating is presented at varying levels of contrast (low to high) starting below threshold until its seen (values are plotted)
- The reciprocal of threshold contrast is the contrast sensitivity of the grating
- CSF Determination – the sensitivity (of the visual system) to spatial luminance changes is measured with gratings of varying spatial frequency and contrast
What is adult contrast sensitivity?
- Adults contrast sensitivity is greatest to intermediate spatial frequencies (about 2-10 cycles/degree)
- Peak sensitivity at 4 cycles pr degree
In the CSF curve what’s on x-axis and what’s on y-axis?
- X-axis – cycles/degree (log)
- Y-axis – contrast sensitivity (log)