CoCornrneal eal ToTopopogrgrapaphyhy
andand
OOrrbbssccaann IIII
M.Khanlari,MDM.Khanlari,MD
Noor Vision Correction CenterNoor Vision Correction Center
►Topography refers to determining Topography refers to determining
and describing the features of a and describing the features of a
surfacesurface
Description of Corneal surfaceDescription of Corneal surface
Corneal surface elevationCorneal surface elevation
Corneal surface slopeCorneal surface slope
Corneal surface radius of Corneal surface radius of
curvaturecurvature
Corneal powerCorneal power
Methods of MeasurementMethods of Measurement
►Reflection-based methodsReflection-based methods
measure the measure the slopeslope and use this to calculate and use this to calculate
radius of curvatureradius of curvature and and powerpower. .
However, corneal However, corneal elevationelevation can’t be calculated can’t be calculated
from measurements of slope alone.from measurements of slope alone.
►Projection-based methodsProjection-based methods
measure the measure the elevation elevation and use this to calculate and use this to calculate
slopeslope, , curvaturecurvature, and , and powerpower
Curvature Based Placido Disc VideokeratographyCurvature Based Placido Disc Videokeratography
Measures Slopes & Curvatures Measures Slopes & Curvatures
DirectlyDirectly
Specular Reflection of an illuminated Specular Reflection of an illuminated
conical Placido disk with 16 to 32 ringsconical Placido disk with 16 to 32 rings
Maximum corneal diameter that is Maximum corneal diameter that is
mapped is 8 to 10 mmmapped is 8 to 10 mm
One imageOne image
One surfaceOne surface
Elevation Based Slit Scanning VideokeratographyElevation Based Slit Scanning Videokeratography
Measures Elevation DirectlyMeasures Elevation Directly
A series of slit lamp beams are A series of slit lamp beams are
compiled across the cornea to create a compiled across the cornea to create a
profile of the corneaprofile of the cornea
Multiple ImagesMultiple Images
Multiple SurfacesMultiple Surfaces
CoCornrneal eal ToTopopogrgrapaphyhy
Normal CorneaNormal Cornea
Reading the MapsReading the Maps
System for studying topographic mapSystem for studying topographic map
►Check Check
►NameName
►DateDate
►EyeEye
►ScaleScale
►RangeRange
►StepStep interval (normalized, absolute) interval (normalized, absolute)
►TypeType of measuremnt (curvature, power , of measuremnt (curvature, power ,heightheight))
►MapMap
►AxialAxial
►TangentialTangential
►RefractiveRefractive
►ElevationElevation
►Statistical information Statistical information
►cursor boxcursor box
►IndicesIndices
►Compare previous maps of the same eyeCompare previous maps of the same eye
►Compare with topography of the other eyeCompare with topography of the other eye
Check Check NameName
DateDate
EyeEye
Absolute ScaleAbsolute Scale (standardized)(standardized)
Same dioptric step power on every mapSame dioptric step power on every map
Allow direct comparison of 2 different mapsAllow direct comparison of 2 different maps
AdvantagesAdvantages: Rapid pattern recognition of topographic maps: Rapid pattern recognition of topographic maps
DisadvantageDisadvantage: Because the large steps do not show subtle : Because the large steps do not show subtle
changeschanges
Should be used for routine clinical analysisShould be used for routine clinical analysis
Normalized ScaleNormalized Scale (relative)(relative)
Dioptric power steps based on the patients corneaDioptric power steps based on the patients cornea
AdvantageAdvantage:Dioptric steps is smaller and show more detailed changes:Dioptric steps is smaller and show more detailed changes
DisadvantageDisadvantage: 2 different maps can not be compared directly: 2 different maps can not be compared directly
More sensitive and useful for researchMore sensitive and useful for research
Color Scale for Surface CurvatureColor Scale for Surface Curvature
•sharp
•fast bend
•short radius
•Higher power
•flat
•slow bend
•long radius
•Lower power
(+ +)
(+)
Red
BlueMin
Max
G ree nG ree n a nd a nd ye llo w ye llo w re p res en t p o wers ch a rac rteristic of n orma l c orn e a re p res en t p o wers ch a rac rteristic of n orma l c orn e a
Absolute scale Absolute scale
with with
1.5 D step interval1.5 D step interval
Normalized scale Normalized scale
with with
0.5 D step interval0.5 D step interval
Axial Map (Axial Map (power map, sagital map)power map, sagital map)
►Axial power: Axial power: A fixed A fixed
center of curvature is used center of curvature is used
for calculating the power for calculating the power
at all pointsat all points
very simple map and very simple map and
values directly values directly
comparable to comparable to
keratometrykeratometry
Paxial = (n' – 1) / raxial
Tangential Map Tangential Map (( Inst Instantaneous ,local, true , meridional)antaneous ,local, true , meridional)
►Tangential power: Tangential power: A floating A floating
center of curvature is used by center of curvature is used by
means of a standard formula for means of a standard formula for
calculating powercalculating power
►Measures the power at a certain Measures the power at a certain
point in meridional direction point in meridional direction
relative to the other points on the relative to the other points on the
particular ringparticular ring
►More sensitive for local curvature More sensitive for local curvature
changechange
►Most useful in following trend in Most useful in following trend in
the post surgical or pathologic the post surgical or pathologic
eyes.eyes.
Pinst = (n' – 1) / rinst
Refractive Map (paraaxial )Refractive Map (paraaxial )
►Paraxial power: Paraxial power: used for central used for central
paraxial rays where the paraxial rays where the sagittal depthsagittal depth
is approximately proportional to the is approximately proportional to the
curvaturecurvature
►Applies snellen’s law to describe the Applies snellen’s law to describe the
cornea’s actual refractive powercornea’s actual refractive power
►Evaluate visual performance in post- Evaluate visual performance in post-
refractive surgery patientrefractive surgery patient
►Identifies Identifies central islandcentral island who have who have
undergone PRK or LASIKundergone PRK or LASIK
Pref = n/f
f = z + y/ tan (θi - θr)
Quantitative IndicesQuantitative Indices
Quantitative reference points to guide and Quantitative reference points to guide and
asses the effect of therapyasses the effect of therapy
Common indices include :Common indices include :
Simulated keratometry values (Sim K)Simulated keratometry values (Sim K)
Surface Asymmetry index (SAI)Surface Asymmetry index (SAI)
Surface Regularity Index (SRI)Surface Regularity Index (SRI)
Quantitative IndicesQuantitative Indices
►
Simulated keratometry valuesSimulated keratometry values (Sim K) (Sim K)
Obtained from data points on mires Obtained from data points on mires 77, , 88 and and 99
Provide the power and location of the steepest meridian Provide the power and location of the steepest meridian
and flattest meridianand flattest meridian
Analogous toAnalogous to keratometerkeratometer
Good correlationGood correlation with with refractive cylinderrefractive cylinder
Quantitative IndicesQuantitative Indices
►Surface Asymmetry indexSurface Asymmetry index (SAI)(SAI)
Centrally weighted summation of differences in Centrally weighted summation of differences in
corneal power between corresponding points corneal power between corresponding points 180180
degrees apart on degrees apart on 128128 equally spaced meridians equally spaced meridians
crossing all the mirescrossing all the mires
Theoretically is Theoretically is zerozero for for
perfect sphere perfect sphere ,,perfectly spherocylinderical perfectly spherocylinderical
regular regular astigmatism astigmatism andand a surface with a power a surface with a power
that is radially that is radially symmetricalsymmetrical
Is sensitive to paracentral keratoconus Is sensitive to paracentral keratoconus
Quantitative IndicesQuantitative Indices
►Surface Regularity IndexSurface Regularity Index (SRI)(SRI)
Summation of local fluctuations in power among 256 Summation of local fluctuations in power among 256
equally spaced hemimeridians on the 10 central miresequally spaced hemimeridians on the 10 central mires
Approach 0 for a normally smooth corneal surfaceApproach 0 for a normally smooth corneal surface
It increases with increasing irregular astigmatismIt increases with increasing irregular astigmatism
High correlationHigh correlation with with best BSCVAbest BSCVA
Can predict the optical performance of a normal corneaCan predict the optical performance of a normal cornea
Kcn Map indices in PentacamKcn Map indices in Pentacam
ISV = Index of Surface Variance.
IVA = Index of Vertical Asymmetry.
KI = Keratoconus Index.
CKI = Central Keratoconus Index.
Rmin= the smallest radius of curvature
IHA = Index of Height Asymmetry.
IHD = Index of Height Decentration.
ABR = Aberration Coefficient.
KKS = Keratoconus Stage.
AA = Analysed Area.
Watch for the BumpsWatch for the Bumps
Watch for the BumpsWatch for the Bumps
A bump on the inferior cornea, associated with A bump on the inferior cornea, associated with
thinning, is almost always diagnostic of thinning, is almost always diagnostic of “KCN”“KCN”
A “smile”- shaped rather than round bump, exactly A “smile”- shaped rather than round bump, exactly
at 6 o’clock at 3mm below the center, no more at 6 o’clock at 3mm below the center, no more
than 25 than 25 μμm thinner than 3 mm above the center, m thinner than 3 mm above the center,
suggestive of suggestive of “contact lens“contact lens warpagewarpage””
Normal CorneaNormal Cornea
Flattens progressively from the center to the periphery by 2 Flattens progressively from the center to the periphery by 2
to 4 D, as to 4 D, as
Nasal hemimeridians flattening more than the temporal Nasal hemimeridians flattening more than the temporal
hemimeridians hemimeridians
Two corneas at one individual normally exhibit non super Two corneas at one individual normally exhibit non super
imposable mirror- image symmetry(imposable mirror- image symmetry(EnantiomorphismEnantiomorphism))
The normal cornea exhibits relative smoothness and The normal cornea exhibits relative smoothness and
absence of significant irregular astigmatism.absence of significant irregular astigmatism.
Normal corneaNormal cornea
►Naturally occurring corneal topographic Naturally occurring corneal topographic
patterns are classified by shape aspatterns are classified by shape as
((Bogan´s studyBogan´s study) )
Round (22.6%)Round (22.6%)
Oval (20.8%)Oval (20.8%)
Symmetrical bowtie (17.5%)Symmetrical bowtie (17.5%)
Asymmetrical bowtie (32.1%)Asymmetrical bowtie (32.1%)
Irregular (7%)Irregular (7%)
Regular AstigmatismRegular Astigmatism
Most common naturally deviation from the normal Most common naturally deviation from the normal
corneacornea
Usually with the ruleUsually with the rule
As a symmetrical bowtie of high powerAs a symmetrical bowtie of high power
Irregular AstigmatismIrregular Astigmatism
Every deviation from a pure ellipsoidal shape can Every deviation from a pure ellipsoidal shape can
be devastating to vision when is centrally within be devastating to vision when is centrally within
the pupillary areathe pupillary area
Functionally, is that component of astigmatism that Functionally, is that component of astigmatism that
can not be corrected with spectaclecan not be corrected with spectacle
Common causes: dry eye, corneal scars , ectatic Common causes: dry eye, corneal scars , ectatic
corneal degeneration, ptrygium, contact lens corneal degeneration, ptrygium, contact lens
warpage or over wear, trauma ,surgery (cataract, warpage or over wear, trauma ,surgery (cataract,
PK and refractive surgery)PK and refractive surgery)
Corneal topography is particularly mandatory for Corneal topography is particularly mandatory for
these corneal conditionsthese corneal conditions
Advanced keratoconusAdvanced keratoconus
Post-penetrating keratoplastyPost-penetrating keratoplasty
Post RK or LASIKPost RK or LASIK
Rabinowitz and McDonnell CriteriaRabinowitz and McDonnell Criteria
►Central corneal power Central corneal power >47>47
►A difference of A difference of 3 D or more3 D or more in corneal power in corneal power
comparing points 3 mm comparing points 3 mm IInferior to the center nferior to the center
to points 3 mm to points 3 mm ssuperior to the center (uperior to the center (II--SS))
►Asymmetry between central corneal power Asymmetry between central corneal power
of fellow eyes of fellow eyes in excess of 1Din excess of 1D
Keratoconus detection overviewKeratoconus detection overview
►Topographic characteristicTopographic characteristic
High irregular astigmatism High irregular astigmatism
(SRI>1) (CU index<80%) (IAI) (PVA) (PCA) (Tot Astig(SRI>1) (CU index<80%) (IAI) (PVA) (PCA) (Tot Astig))
High central corneal power High central corneal power
(Sim K>50 D) (CSI) (DSI) (Eff RP)(Sim K>50 D) (CSI) (DSI) (Eff RP)
Inferior cornea, steeper than superior cornea Inferior cornea, steeper than superior cornea
(IS value>1.4) (SAI>0.5) (OSI)(IS value>1.4) (SAI>0.5) (OSI)
Large difference between the apex and the peripheryLarge difference between the apex and the periphery
(AA) (HRT)(AA) (HRT)
Disparity in the central power between the two eyes Disparity in the central power between the two eyes
(>1 D)(>1 D)
OOrrbbssccaann IIII
Elevation Based Slit Scanning VideokeratographyElevation Based Slit Scanning Videokeratography
•Measures Elevation DirectlyMeasures Elevation Directly
•A series of slit lamp beams are compiled A series of slit lamp beams are compiled
across the cornea to create a profile of the across the cornea to create a profile of the
corneacornea
•Calculates the Full Pachymetry & CurvaturesCalculates the Full Pachymetry & Curvatures
•Multiple ImagesMultiple Images
•Multiple SurfacesMultiple Surfaces
•Evaluates the Shape of the CorneaEvaluates the Shape of the Cornea
Close-Fitting Reference Surfaces
• Corneal topography differs from terrestrial topography in that
the reference surface is not some fixed “mean sea-level”, but is
movable.
Higher (Red)
Lower (Blue)
Sea Level (Green)
Sea Level (Green)
1.20 Slits from Left to Right
2.20 Slits from Right to Left
3.Each slit per 0.7 second
4.Elimination of saccadic
movements by eyetracking
5.Large face plate Placido Disc
ORBSCAN IIORBSCAN II
Color Scale for Relative ElevationColor Scale for Relative Elevation
•high
•anterior to the
reference surface
•low
•posterior to the
reference surface
reference
(+)
(-)
anterior
posterior
Red
BlueMin
Max
Colors: ElevationColors: Elevation
•Profile @ 180°
•Profile @ 90°
•Points above the
best fit sphere
•Points below the
best fit sphere
•Warm Colors
•Cool Colors
Color Scale for Surface CurvatureColor Scale for Surface Curvature
•sharp
•fast bend
•short radius
•flat
•slow bend
•long radius
(+ +)
(+)
Red
BlueMin
Max
Colors: Axial PowerColors: Axial Power
•Warmer Colors
•Higher Power
•Cooler Colors
•Lower Power
Color Scale for PachymetryColor Scale for Pachymetry
•thick
•thin
Blue
RedMin
Max
Colors: PachymetryColors: Pachymetry
•Cooler Colors
•Thicker Areas
•Warmer Colors
•Thinner Areas
Colors: PachymetryColors: Pachymetry
•Thicker Areas
•Thinner Areas
OverlaysOverlays
Overlays: ElevationOverlays: Elevation
Overlays: ElevationOverlays: Elevation
Overlays: PowerOverlays: Power
Overlays: PowerOverlays: Power
Overlays: PowerOverlays: Power
Overlays: PachymetryOverlays: Pachymetry
Overlays: PachymetryOverlays: Pachymetry
Overlays: PachymetryOverlays: Pachymetry
ScalesScales
Scale: PowerScale: Power
►By changing the steps, the range of the By changing the steps, the range of the
scale can be adjusted:scale can be adjusted:
25 – 58 D25 – 58 D
with 1D stepswith 1D steps
33 – 50 D33 – 50 D
with 0.5 D stepswith 0.5 D steps
37 – 46 D37 – 46 D
with 0.25 D stepswith 0.25 D steps
Scale: ElevationScale: Elevation
Scale: ElevationScale: Elevation
Scale: ElevationScale: Elevation
MeasurementsMeasurements
MeasurementsMeasurements
►Anterior corneal elevation and curvature Anterior corneal elevation and curvature
►Posterior corneal elevation and curvature Posterior corneal elevation and curvature
►Full corneal pachymetry Full corneal pachymetry
►Simulated keratometry Simulated keratometry
►White-to-white diameter White-to-white diameter
►Pupil size (mesopic) Pupil size (mesopic)
►Anterior chamber depth Anterior chamber depth
►Angle kappa Angle kappa
►Irregularity index Irregularity index
Displays: DualDisplays: Dual
Axial Power Map Anterior Elevation
Flatter areas stand above the best fit sphere
Steeper areas fall below the best fit sphere
Displays: DifferenceDisplays: Difference
Preop
Pachymetry
Postop
Pachymetry
Amount of
ablation
Display: Quad MapDisplay: Quad Map
OOrrbbssccaann IIII
KeKerratatoococonnusus
KCN CRITERIA IN POWER KCN CRITERIA IN POWER
MAPSMAPS
►““Broken bow-tie” appearanceBroken bow-tie” appearance
►Central power Central power > 47 D> 47 D
►> 3 D> 3 D difference in the 3 mm zone difference in the 3 mm zone
►> 1 D> 1 D greater power than the greater power than the
fellow eyefellow eye
BROKEN BOW-TIEBROKEN BOW-TIE
KCN CRITERIA IN ELEVATION KCN CRITERIA IN ELEVATION
MAPSMAPS
1.1.Maximum elevation Maximum elevation > 50 µm> 50 µm
2.2.Posterior best fit sphere in diopter Posterior best fit sphere in diopter > 55 D> 55 D
3.3.R anterior BFS / R posterior BFS (mm): R anterior BFS / R posterior BFS (mm):
"££1.211.21 okok
"³³1.21 and 1.21 and ££ 1.27 1.27 suspectsuspect
"³³ 1.271.27 suggestivesuggestive
4.4.Roush criterionRoush criterion: the relative elevation difference : the relative elevation difference
between close between close maxima maxima andand minima minima > 100µm> 100µm
5.5.More than More than threethree colors on colors on 1010µm (µm (antant) and) and
2020 µm ( µm (postpost) in the ) in the central 3 mm zonecentral 3 mm zone
ANTERIOR ELEVATIONANTERIOR ELEVATION
The maximum elevation measured is 65 µm (>55µm)
POSTERIOR ELEVATIONPOSTERIOR ELEVATION
59.5 D
Maximum elevation= 124 µm
RELATION BETWEEN 4 MAPSRELATION BETWEEN 4 MAPS
►The posterior “high point” correlates The posterior “high point” correlates
well withwell with
the the anterior anterior stesteepestepest point point
the the anterior anterior hhigheighestst p poioinnt, t, aanndd
the the thinnestthinnest spot on the cornea spot on the cornea
Computer-Assisted VideokeratographyComputer-Assisted Videokeratography
►CapturingCapturing of an image of the cornea after of an image of the cornea after
reflection a target off the corneal surfacereflection a target off the corneal surface
►AnalyzingAnalyzing of the image and converting data to of the image and converting data to
curvature values using computer software by curvature values using computer software by
complex algorithmscomplex algorithms
►DisplayingDisplaying of color topographical images by of color topographical images by
using pre-determined color scalesusing pre-determined color scales
►ManipulationManipulation of data creation various displays of data creation various displays
Corneal Surface ElevationCorneal Surface Elevation
►Data measured in terms of Data measured in terms of
height or elevation (or height or elevation (or
sometimes depth) from a sometimes depth) from a
reference plane describe the reference plane describe the
true shape of the corneal true shape of the corneal
surface.surface.
►Once the true shape has Once the true shape has
been measured, slope, been measured, slope,
curvature, and power can be curvature, and power can be
calculated from it.calculated from it.
Corneal Surface SlopeCorneal Surface Slope
►The gradient of the tangent at a The gradient of the tangent at a
particular point on a curved particular point on a curved
surfacesurface
►Mathematically, the slope is the Mathematically, the slope is the
first differential of a curve. first differential of a curve.
Therefore, it is a more sensitive Therefore, it is a more sensitive
way of demonstrating small way of demonstrating small
changes in height between two changes in height between two
points on a surface.points on a surface.
Radius of CurvatureRadius of Curvature
►Slope (Slope (αα) can be converted to ) can be converted to
radius of curvature (radius of curvature (r)r): : r = r =
d/cos d/cos αα
where where d d is the distance from is the distance from
the corneal centerthe corneal center
►Corneas with a steep Corneas with a steep
surface slope have a small surface slope have a small
radius of curvature while radius of curvature while
those which are flatter have those which are flatter have
a relatively large radius of a relatively large radius of
curvaturecurvature
Corneal PowerCorneal Power
►A measure of the A measure of the
refractive effect of a refractive effect of a
lenslens
►P=(nP=(n
22 – n – n
11) / r) / r
Normal CorneaNormal Cornea
►Asphericity Asphericity
►Eccentricity (Prolate and oblate)Eccentricity (Prolate and oblate)
►Toricity ( Regular and Irregular)Toricity ( Regular and Irregular)
►Symmetry (vs Asymmetry)Symmetry (vs Asymmetry)
Corneal GeographyCorneal Geography
►The corneal surface can be divided into The corneal surface can be divided into
four anatomic zones. four anatomic zones.
• The central zoneThe central zone
• The paracentral zoneThe paracentral zone
• The peripheral zoneThe peripheral zone
• The limbal zone The limbal zone
Normal CorneaNormal Cornea
Corneal MeasurementCorneal Measurement
Best Fit SphereBest Fit Sphere
•Anterior Corneal Surface
•Best Fit Sphere
Best Fit SphereBest Fit Sphere
Raw ImageRaw Image
Raw Placido ImageRaw Placido Image
Raw Placido ImageRaw Placido Image
Triangulation locates points in spaceTriangulation locates points in space
triangulated
space point
complex object
S
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i
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p
f
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u
g
s
l
i
t
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b
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a
m
p
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o
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c
t
o
r Video
Camera
calibrated
slit-beam
surface diffusely
reflected
camera ray
Terrain TopographyTerrain Topography
Terrain TopographyTerrain Topography
Hybrid Technology of ORBSCAN II
3. Unify triangulated and reflective data to obtain
accurate surfaces in elevation, slope, and curvature.
1. Measure surface elevation directly by triangulation
of backscattered
slit-beam.
2. Measure surface
slope directly using
specular reflection,
supplemented with
triangulated elevation.
Colors: ElevationColors: Elevation
Topographic or two dimensional view
Scale: PowerScale: Power
1.0 D
0.5 D
.25 D
Data Available by One Exam
•Four ocular surfaces: Anterior Cornea, Posterior
Cornea, Anterior Iris, Anterior Lens
•Geometry and shape maps: Relative Elevation,
Inclination, Surface Curvature
•Distance maps between surfaces: Full Corneal
Pachymetry, Anterior Chamber Depth
•Optical function maps: Optical Power
•Clinical tools: Surgical Planning, Contact Lens
Fitting