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Lenses and Space Perception

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Title: Lenses and Space Perception


1
Lenses and Space Perception
2
What happens with anisometropic prescription
  • Example
  • Plano right eye
  • 3.00 -300 left eye
  • Implication for space perception
  • What happens to the horopter

3
Aniseikonia
  • Defintion Anisekonia is a difference in
    magnification between the two eyes that effects
    the perception of size and shapes of objects.

4
Aniseikonia
  • Optical aniseikonia is caused by a difference in
    retinal image size between the two eyes and is
    caused by axial anisometropia or refractive
    anisometropia

5
Aniseikonia
  • Induced aniseikonia is a retinal image size
    difference caused by a special lens such as an
    afocal magnifier or size lens.

6
Aniseikonia
  • Neural or essential aniseikonia is a small
    non-optical aniseikonia that occurs with the
    images should be optically equal but are
    perceived as different.

7
Inducing Aniseikonia
  • Size lens is a thick lens with parallel front and
    back surfaces that change magnification but have
    no dioptric power. They can create overall
    magnification or have cylindrical power where
    magnification is in only one meridian.

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Magnification Formulas
  • Power Factor
  • Mp 1/1-hFv
  • h is the vertex distance, and Fv is the back
    vertex power.

10
Magnification Formulas
  • Shape Factor
  • Ms 1/1-(t/n) F
  • t is the lens thickness, n is the index of
    refraction, and F is the front surface power.

11
Geometric Effect
  • Magnify in the horizontal meridian or axis 90.
  • This creates disparities in the horizontal plane
    in the eye with the magnifying lens

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Geometric Effect
  • The patient would perceive the plane rotated away
    from the eye with the magnifying lens
  • What would the horopter look like?

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16
Rotation
  • The degree of rotation can be calculated by the
    following formula
  • Tan q (M-1/M1) (d/a)
  • M is the magnification of the size lens, d is the
    viewing distance, and a is ½ the interpupillary
    distance.

17
Rotation
  • 2 size lens axis 90 at 40 cm with a 6 cm PD.
  • Tan q (1.02 1.00)/(1.02 1.00) x 40/3
  • 0.131
  • 7 degrees

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Induced Effect
  • Magnify in the vertical meridian or axis 180
  • Vertical disparities do not yield the perception
    of depth
  • Small amounts of vertical disparities lead to
    diplopia due to limitation in vertical eye
    movements.

20
Induced Effect
  • However, this lens produces tilt as if an axis 90
    lens was introduced on the other eye.
  • The effect breaks down with 5 to 7 magnification.

21
Induced Effect
  • Poorly understood
  • May be an indicator of eccentricity

22
Geometric Induced Effects
  • The strengths of the two effects are close to
    equal up to 2 of magnification.
  • Uniform magnification of small amounts have
    little or no effect on the horopter.
  • Higher levels of magnification differences
    produce distortions.

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Tolerance of Aniseikonia
  • 1-2 usually tolerated
  • Greater than 5 will affect stereopsis
  • Greater than 20 eliminate binocular vision.

25
Oblique Magnification
  • Magnification at 45 or 135 degrees produce
    rotation around the horizontal axis.
  • Inclination or declination effect
  • Meridian 45 degree in the left eye and meridian
    135 degrees in the right eye produces the upper
    part of the image as being farther away and
    larger.

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How do we adjust to lenes
  • Baseline
  • Inducing/Adaptation
  • After effect/Decay

29
How do we adjust to lenses?
  • Full adaptation
  • Partial adaptation
  • No adaptation

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31
Adaptation to Size Lens
  • 10 college students wore axis 90 or axis 180 size
    lens over one eye for 2 weeks.
  • Each day students would comment on level of
    adaptation
  • Measured horopter and Eikenometer each day

32
Adaptation to Size Lens
  • Students perceptual adaptation occurred around 4
    days
  • Very little adaptation seen on the horopter or
    Eikonometer
  • Corresponding points do not recalibrate
  • Implication monocular cues to depth start to
    predominate over stereo cues. Cue conflict

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Linear Perspective
  • Monocular depth cue
  • Parallel lines converging towards the horizon

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Adaptation of Induced effect
  • Lee and Ciuffreda
  • Used size lens x 180 at 4.0
  • Modified Howard Dolman apparatus
  • Found rapid initial response and then quick
    adaptation
  • Implications

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Video
  • http//video.google.com/videoplay?docid2048269788
    799603527

40
Effect of prisms on space perception
  • Prisms shift images toward apex
  • Prisms either base out or base in to compensate
    for horizontal deviation

41
Effect of prisms on space perception
  • Prisms create a curve in space perception
  • The base creates a curve towards the patient

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Aniseikonia
  • Under treated problem but difficult to diagnose
    because the tests have problems
  • Magnification difference

44
Aniseikonia
  • Anisophoria or dynamic aniseikonia
  • Phoria changes in different eccentricities
  • Prismatic effect of lenses
  • Prentice law

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47
Space Eikonometer-
  • Best test
  • No longer available

48
Space Eikonometer-
  • Uses septum to divide targets
  • Measure axis 90, 180 and declination errors
  • Uses 5 vertical lines and a cross
  • See examples

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50
What lens would cause this?
51
X90 size lens OD
52
What would cause this?
53
X180 size lens OD
54
What would cause this?
55
X 045 OD, x 135 OS(135 meridian OD, 045 meridian
OS)
56
New Anisekonia Test
  • Direct comparison test
  • Vertical and horizontal meridians
  • Underestimates

57
New Anisekonia Test
  • McCormack et al (1992 IOVS)
  • Compared the NAT to the space eikenometer by
    inducing aniseikonia or using clinic patients
    with aniseikonia
  • The NAT underestimated the amount of aniseikonia
    when compared to space eikonometer. (see graph)
  • Possible factors influencing test results 1)
    methodology, 2) angle of gaze, 3) sensory
    fusional response that rescales the image
    (red-green target).

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59
Aniseikonia inspector
  • Direct comparison test
  • Underestimates
  • Poor reliability

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61
Aniseikonia inspector
  • Antona et al (2007 IOVS)
  • Looked at validity and reliability of the AI by
    either inducing aniseikonia or measuring clinic
    patients
  • In induced patients showed an underestimation
    that was greater in the horizontal meridian. (see
    graphs)

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63
Aniseikonia inspector
  • Antona et al (2007 IOVS)
  • Looked at agreement between the testing sessions
    and found the 95 confidence intervals to /-
    2.0.
  • The underestimation or poor reliability make
    interpreting test results difficult
  • They added that fixation disparities and
    hetereophorias may also be a factor in both
    validity and reliability.

64
Maddox Rod Test
  • Do not need special instrument
  • Maddox rod and two penlights
  • Need size lenses to neutralize differences

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66
Clinical Management
  • Knapps law When a correcting lens is placed at
    the anterior focal plane of an axially ametropic
    eye the retinal image should be the same as the
    emmetropic eye.

67
Knapps Law
  • Theoretically, treat AXIAL anisometropes with
    SPECTACLES
  • And treat REFRACTIVE anisometropes with CONTACT
    LENSES
  • But Knapps law does not always work clinically

68
Knapps Law
  • Clinically may not work very well
  • Awaya and Von Noorden measured amount of
    aniseikonia in myopic anisometropia.
  • Put correcting lens at the anterior focal plane
    did not eliminate the aniseikonia

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70
Treating Aniseikonia
  • What if the patient cant wear contacts?
  • We can change the design of spectacle lenses to
    reduce/eliminate the aniseikonia

71
Estimate of Aniseikonia
  • 1 to 2 per diopter difference
  • 3 diopter difference could yield 3 to 6
    magnification differences

72
Treating Aniseikonia
  • Change the Magnification Shape Factor
  • Front surface power
  • Center thickness
  • Refractive index
  • Change the Magnification Power Factor
  • Vertex distance (difficult to do-must change
    bevel placement)

73
Sphere F1 t n d
OD 1.75 7.5 3.65 1.49 12
OS 3.75 8.5 4.90 1.49 12
New
OD 1.75 5.5 3.1 1.49 12
OS 3.75 5.5 3.1 1.49 12

74
Vertical Horopter
  • Starts somewhere between the viewers waist and
    feet and projects outward intersecting the
    fixation point and continuing in a straight line.
  • If you fixate on a vertical placed wire both ends
    will be seen as double until you tilt the wire.
    Singleness criteria

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76
Clinical Application
  • Study looking at screen tilt preference
  • Subjects viewed different tilts and heights
  • Rate level of comfort
  • Preference for positive tilt in same direction as
    horopter

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