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© 2019 Edmond Optics
Introduction to Optics for
Embedded Vision
Jessica Gehlhar
May 2019
© 2019 Edmond Optics
Growing World of Embedded Vision
Factory Automation Machine Vision + Robotics
Medical Devices + Life Science Systems
Defense, Space, Security
Consumer!
• Robots + Vision out of controlled environments
• Benefit to every industry
• Smaller, cheaper, accessible, more talent
Autonomous Vehicles
• Air, Land and Sea
Crossover in all industries
© 2019 Edmond Optics
Goal of Presentation
Introduce challenges & effects of optics on your final image
• Basic theory related to root cause
Why care about optical effects on image?
• Include all variations in set of test images
• Better image = less development time
• Processing power, ISP cleanup & estimation of what info was lost
Why care about optical root cause/theory?
• Better architecture up front
• Less surprise/$ during manufacturing and test
© 2019 Edmond Optics
Outline: Embedded Optics Considerations
Smaller, Cheaper Rugged and often wide angle
Creates challenges + common design deviations during manufacturing
• Boresighting/pointing accuracy and tip/tilt
• Focal length/Field of View and Working Distance tolerance
• Defocus and Focus shift
• Ruggedized
• Color aberrations
• Coatings
• Small pixels, Diffraction Limit, Chief Ray Angle (CRA)
© 2019 Edmond Optics
Imaging System Basic Terms
FOV = Field Of View
PMAG = Primary Magnification
WD = Working Distance
FL = Focal Length
Res = Resolution
f/# = f-number
DOF = Depth of Field or Depth of Focus
NA = Numerical Aperture
MTF = Modulation Transfer Function
© 2019 Edmond Optics
Imaging System Basic Terms
Image Space
Object Space
© 2019 Edmond Optics
Basic Imaging Specs: Calculate FOV and WD






=
2
2/
AngularFOV
TAN
FOV
WD












=
2
tan2
AngularFOV
WDFOV
FOV
WD
Angular FOV
© 2019 Edmond Optics
Basic Image Specs: PMAG, Sensor Size
Short FL Long FL
© 2019 Edmond Optics
Sensor Format Names
Format names do not match sensor dimensions
Format names relate to vacuum tube sizes
¼” ½
”
1”
35mm
16𝑚𝑚
8𝑚𝑚
= 2
8𝑚𝑚
4.5𝑚𝑚
= 1.78
© 2019 Edmond Optics
AFOV (half):8°
HFOV:74mm
1/3” Sensor
AFOV (half):21°
HFOV:204mm
FOV and Sensor Size Dependency
1” Sensor
© 2019 Edmond Optics
Basic Image Specs: Flange & Rear Protrusion
C-mount
CS-mount
F-mount
S-mount (M12)
• Standard Flange
Distance
M8, M6 and smaller
1”-32TPI
© 2019 Edmond Optics
Basic Imaging Specs: Resolution
Basic FOV/Feature Size mapping to pixels
• 2 pixels = 1 line pair
• Divide FOV by # pixels/2 = limiting
resolution
• PMAG used to convert Object to Image
Space
© 2019 Edmond Optics
Resolution and Contrast
13
© 2019 Edmond Optics
MTF: Resolution and Contrast
© 2019 Edmond Optics
MTF (Modulation Transfer Function) Defined
MTF shows modulation (relative contrast) at
many frequencies
MTF is absolute value of OTF (Optical Transfer
Function)
OTF is calculated by taking FFT (Fast Fourier
Transform) of PSF (Point Spread Function)
PSF can be measured by imaging a Point
Source of light or a Slanted Edge target
© 2019 Edmond Optics
OTF describes some interesting affects
Phase Reversal when OTF goes negative
© 2019 Edmond Optics
Distortion: Symmetric
© 2019 Edmond Optics
Specifying and Calibrating Distortion
© 2019 Edmond Optics
Distortion: Asymmetric
Parallax/Keystone
© 2019 Edmond Optics
Telecentric Lenses
2 afocal systems with stop in between, located at common focus
• Stop located 1 focal length from front and rear assemblies
• Chief rays all parallel
• Maintains same magnification as working distance changes
Creates symmetric blur and low distortion
© 2019 Edmond Optics
Basic Imaging Spec: F/# and Numerical Aperture
Measure of how much light can enter the lens
F/# =
Focal Length
Entrance Pupil Diameter
Numerical Aperture (NA) =
1
2∗𝐹/#
Large F/# means less light,
smaller apertures
Large NA means more light
larger apertures
© 2019 Edmond Optics
Basic Imaging Spec: Depth Of Field
Depth of Field is a measure of how much of an object is in focus measured
along the working distance (Z-axis)
Must be defined at a specific resolution
© 2019 Edmond Optics
Maximizing DOF with Hyper Focal Distance
Closest distance that appears sharp when lens is focused at 
Closest distance that can be focused on while maintaining focus at 
Circle of Confusion (CoC) is photographic term for limiting resolution in
image space (equates to pixel size in digital imaging)
© 2019 Edmond Optics
Focusing at Hyperfocal Distance Increases DOF
If the lens is focused at infinity an object at the Hyper focal distance will
have a smaller blur than the size of the pixel (blur is within CoC)
© 2019 Edmond Optics
Pointing Accuracy and Tip/Tilt
© 2019 Edmond Optics
Importance of Pointing Accuracy & Ruggedization
© 2019 Edmond Optics
Causes of Pointing Variation
Optical asymmetric tolerances
Lens to Sensor alignment
Opto-Mech tolerances
Shock and Vibe
© 2019 Edmond Optics
Focal Length/FOV
© 2019 Edmond Optics
Focal Length Tolerance
Causes of Focal Length variation = Axially Symmetric Tolerances
• Power of Lens Elements
• Spacer length
© 2019 Edmond Optics
Working Distance
© 2019 Edmond Optics
Working Distance Tolerances
Causes of Working Distance variation = Axially Symmetric Tolerances
• Power
• Spacer length
• Sensor location
© 2019 Edmond Optics
Your Application: FOV and WD Ratio
It is possible to get wide fields of view at short
working distances. However, performance
usually drops severely
A working distance to field of view ratio of
between 2:1 and 4:1 is recommend to gain
higher performance at the most reasonable
price
35mm lens
4.5mm lens
© 2019 Edmond Optics
Effects of Working Distance
12mm lens
75mm lens
© 2019 Edmond Optics
Relative Illumination (Vignetting/Lens Shading)
© 2019 Edmond Optics
Consider Your Application
© 2019 Edmond Optics
Consider Your Application
Quantity and Cost
Lead Time and Cost
NRE
© 2019 Edmond Optics
Focus Shift
© 2019 Edmond Optics
Sources of Focus Shift and Reduced MTF
Reduced MTF
• spherical, field curvature, astigmatism,
chroma
• Lens spacing/index, flange distance, filter
thickness
• Veiling Glare
• Manufacturing process
Focus Shift
• Thermal/Materials
• Ruggedized
© 2019 Edmond Optics
Color Aberrations
© 2019 Edmond Optics
Color Aberrations
© 2019 Edmond Optics
Purple Fringe
© 2019 Edmond Optics
Coatings
© 2019 Edmond Optics
Need for Coatings & Coating variations
CFA (Color Filter Array) Curves
UV or IRCF (Infrared Cut Filter)
• Dichroic/Interference vs Blue Glass
• Angle Dependence & batch
variation/scratch
© 2019 Edmond Optics
Pixel Size & Diffraction Limit
© 2019 Edmond Optics
Challenges with Decreasing Pixel Sizes
Standard Optics struggle to keep pace with sensor development
Challenges are high resolution and light throughput
The laws of physics create limitations
• Manufacturability of high performance
optics
• Higher performing optics have limited
range of usability
• Higher performance will have come at the
expense of depth of field and depth of
focus
© 2019 Edmond Optics
How Diffraction and f/# Affect Performance
Smallest achievable spot size =
2.44 * λ * f/#
f/2.8
f/8
© 2019 Edmond Optics
Larger Chief Ray Angles (CRAs)
to Handle Extreme Sensor Demands
Small pixels, large formats
• Pixels < 6µ fill factor issue
• Ratio of CFA thickness & pixel pitch = color crosstalk
Wide angle lenses, short total track lengths (TTL)
Add micro lens arrays
• Offset of micro lens from pixels
• Large CRA allows TTL to reduce
• Pushes molded aspheres/other shapes
© 2019 Edmond Optics
Larger Chief Ray Angles (CRAs)
© 2019 Edmond Optics
Color Shading due to CRA matching + Coatings
© 2019 Edmond Optics
Lens Shading and Sensor Shading
Lens Shading/Relative Illumination used to reduce aberrations during
design
Combined with sensor shading/CRA matching + protective windows
Calibrate/correct for color and lens shading = color noise in corners
RI ~ Cos4θ
θ = 30° → RI = .56
θ = 45° → RI = .25
θ = 60° → RI = .06
© 2019 Edmond Optics
Conclusions
Choose right lens and sensor for your application
Explore solutions from different industries
• Match lens to sensor
• Simple equations to get started
• Remember required ‘resolution’ is more than just pixel calculation
• Lens MTF, Aberrations, Diffraction Limit, Tolerances, DOF
Many root causes for image to image variation
• Isolate optical components, coatings, assembly, +mechanics, +sensor, +
system integration & firmware
• During design: think calibration requirements & manufacturing process
© 2019 Edmond Optics
Resource Slide
Image Credit and Active Alignment explanation
Edmund Optics Tech Notes:
• Fundamental Imaging System Parameters
• Lens Design: Aberrations and MTF
• Distortion
• DOF
• Athermalization
• Aspheres
Books for further reading:
• Modern Optical Engineering, Warren J Smith
• Principles of Color Technology, Roy S Berns

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"Introduction to Optics for Embedded Vision," a Presentation from Jessica Gehlhar

  • 1. © 2019 Edmond Optics Introduction to Optics for Embedded Vision Jessica Gehlhar May 2019
  • 2. © 2019 Edmond Optics Growing World of Embedded Vision Factory Automation Machine Vision + Robotics Medical Devices + Life Science Systems Defense, Space, Security Consumer! • Robots + Vision out of controlled environments • Benefit to every industry • Smaller, cheaper, accessible, more talent Autonomous Vehicles • Air, Land and Sea Crossover in all industries
  • 3. © 2019 Edmond Optics Goal of Presentation Introduce challenges & effects of optics on your final image • Basic theory related to root cause Why care about optical effects on image? • Include all variations in set of test images • Better image = less development time • Processing power, ISP cleanup & estimation of what info was lost Why care about optical root cause/theory? • Better architecture up front • Less surprise/$ during manufacturing and test
  • 4. © 2019 Edmond Optics Outline: Embedded Optics Considerations Smaller, Cheaper Rugged and often wide angle Creates challenges + common design deviations during manufacturing • Boresighting/pointing accuracy and tip/tilt • Focal length/Field of View and Working Distance tolerance • Defocus and Focus shift • Ruggedized • Color aberrations • Coatings • Small pixels, Diffraction Limit, Chief Ray Angle (CRA)
  • 5. © 2019 Edmond Optics Imaging System Basic Terms FOV = Field Of View PMAG = Primary Magnification WD = Working Distance FL = Focal Length Res = Resolution f/# = f-number DOF = Depth of Field or Depth of Focus NA = Numerical Aperture MTF = Modulation Transfer Function
  • 6. © 2019 Edmond Optics Imaging System Basic Terms Image Space Object Space
  • 7. © 2019 Edmond Optics Basic Imaging Specs: Calculate FOV and WD       = 2 2/ AngularFOV TAN FOV WD             = 2 tan2 AngularFOV WDFOV FOV WD Angular FOV
  • 8. © 2019 Edmond Optics Basic Image Specs: PMAG, Sensor Size Short FL Long FL
  • 9. © 2019 Edmond Optics Sensor Format Names Format names do not match sensor dimensions Format names relate to vacuum tube sizes ¼” ½ ” 1” 35mm 16𝑚𝑚 8𝑚𝑚 = 2 8𝑚𝑚 4.5𝑚𝑚 = 1.78
  • 10. © 2019 Edmond Optics AFOV (half):8° HFOV:74mm 1/3” Sensor AFOV (half):21° HFOV:204mm FOV and Sensor Size Dependency 1” Sensor
  • 11. © 2019 Edmond Optics Basic Image Specs: Flange & Rear Protrusion C-mount CS-mount F-mount S-mount (M12) • Standard Flange Distance M8, M6 and smaller 1”-32TPI
  • 12. © 2019 Edmond Optics Basic Imaging Specs: Resolution Basic FOV/Feature Size mapping to pixels • 2 pixels = 1 line pair • Divide FOV by # pixels/2 = limiting resolution • PMAG used to convert Object to Image Space
  • 13. © 2019 Edmond Optics Resolution and Contrast 13
  • 14. © 2019 Edmond Optics MTF: Resolution and Contrast
  • 15. © 2019 Edmond Optics MTF (Modulation Transfer Function) Defined MTF shows modulation (relative contrast) at many frequencies MTF is absolute value of OTF (Optical Transfer Function) OTF is calculated by taking FFT (Fast Fourier Transform) of PSF (Point Spread Function) PSF can be measured by imaging a Point Source of light or a Slanted Edge target
  • 16. © 2019 Edmond Optics OTF describes some interesting affects Phase Reversal when OTF goes negative
  • 17. © 2019 Edmond Optics Distortion: Symmetric
  • 18. © 2019 Edmond Optics Specifying and Calibrating Distortion
  • 19. © 2019 Edmond Optics Distortion: Asymmetric Parallax/Keystone
  • 20. © 2019 Edmond Optics Telecentric Lenses 2 afocal systems with stop in between, located at common focus • Stop located 1 focal length from front and rear assemblies • Chief rays all parallel • Maintains same magnification as working distance changes Creates symmetric blur and low distortion
  • 21. © 2019 Edmond Optics Basic Imaging Spec: F/# and Numerical Aperture Measure of how much light can enter the lens F/# = Focal Length Entrance Pupil Diameter Numerical Aperture (NA) = 1 2∗𝐹/# Large F/# means less light, smaller apertures Large NA means more light larger apertures
  • 22. © 2019 Edmond Optics Basic Imaging Spec: Depth Of Field Depth of Field is a measure of how much of an object is in focus measured along the working distance (Z-axis) Must be defined at a specific resolution
  • 23. © 2019 Edmond Optics Maximizing DOF with Hyper Focal Distance Closest distance that appears sharp when lens is focused at  Closest distance that can be focused on while maintaining focus at  Circle of Confusion (CoC) is photographic term for limiting resolution in image space (equates to pixel size in digital imaging)
  • 24. © 2019 Edmond Optics Focusing at Hyperfocal Distance Increases DOF If the lens is focused at infinity an object at the Hyper focal distance will have a smaller blur than the size of the pixel (blur is within CoC)
  • 25. © 2019 Edmond Optics Pointing Accuracy and Tip/Tilt
  • 26. © 2019 Edmond Optics Importance of Pointing Accuracy & Ruggedization
  • 27. © 2019 Edmond Optics Causes of Pointing Variation Optical asymmetric tolerances Lens to Sensor alignment Opto-Mech tolerances Shock and Vibe
  • 28. © 2019 Edmond Optics Focal Length/FOV
  • 29. © 2019 Edmond Optics Focal Length Tolerance Causes of Focal Length variation = Axially Symmetric Tolerances • Power of Lens Elements • Spacer length
  • 30. © 2019 Edmond Optics Working Distance
  • 31. © 2019 Edmond Optics Working Distance Tolerances Causes of Working Distance variation = Axially Symmetric Tolerances • Power • Spacer length • Sensor location
  • 32. © 2019 Edmond Optics Your Application: FOV and WD Ratio It is possible to get wide fields of view at short working distances. However, performance usually drops severely A working distance to field of view ratio of between 2:1 and 4:1 is recommend to gain higher performance at the most reasonable price 35mm lens 4.5mm lens
  • 33. © 2019 Edmond Optics Effects of Working Distance 12mm lens 75mm lens
  • 34. © 2019 Edmond Optics Relative Illumination (Vignetting/Lens Shading)
  • 35. © 2019 Edmond Optics Consider Your Application
  • 36. © 2019 Edmond Optics Consider Your Application Quantity and Cost Lead Time and Cost NRE
  • 37. © 2019 Edmond Optics Focus Shift
  • 38. © 2019 Edmond Optics Sources of Focus Shift and Reduced MTF Reduced MTF • spherical, field curvature, astigmatism, chroma • Lens spacing/index, flange distance, filter thickness • Veiling Glare • Manufacturing process Focus Shift • Thermal/Materials • Ruggedized
  • 39. © 2019 Edmond Optics Color Aberrations
  • 40. © 2019 Edmond Optics Color Aberrations
  • 41. © 2019 Edmond Optics Purple Fringe
  • 42. © 2019 Edmond Optics Coatings
  • 43. © 2019 Edmond Optics Need for Coatings & Coating variations CFA (Color Filter Array) Curves UV or IRCF (Infrared Cut Filter) • Dichroic/Interference vs Blue Glass • Angle Dependence & batch variation/scratch
  • 44. © 2019 Edmond Optics Pixel Size & Diffraction Limit
  • 45. © 2019 Edmond Optics Challenges with Decreasing Pixel Sizes Standard Optics struggle to keep pace with sensor development Challenges are high resolution and light throughput The laws of physics create limitations • Manufacturability of high performance optics • Higher performing optics have limited range of usability • Higher performance will have come at the expense of depth of field and depth of focus
  • 46. © 2019 Edmond Optics How Diffraction and f/# Affect Performance Smallest achievable spot size = 2.44 * λ * f/# f/2.8 f/8
  • 47. © 2019 Edmond Optics Larger Chief Ray Angles (CRAs) to Handle Extreme Sensor Demands Small pixels, large formats • Pixels < 6µ fill factor issue • Ratio of CFA thickness & pixel pitch = color crosstalk Wide angle lenses, short total track lengths (TTL) Add micro lens arrays • Offset of micro lens from pixels • Large CRA allows TTL to reduce • Pushes molded aspheres/other shapes
  • 48. © 2019 Edmond Optics Larger Chief Ray Angles (CRAs)
  • 49. © 2019 Edmond Optics Color Shading due to CRA matching + Coatings
  • 50. © 2019 Edmond Optics Lens Shading and Sensor Shading Lens Shading/Relative Illumination used to reduce aberrations during design Combined with sensor shading/CRA matching + protective windows Calibrate/correct for color and lens shading = color noise in corners RI ~ Cos4θ θ = 30° → RI = .56 θ = 45° → RI = .25 θ = 60° → RI = .06
  • 51. © 2019 Edmond Optics Conclusions Choose right lens and sensor for your application Explore solutions from different industries • Match lens to sensor • Simple equations to get started • Remember required ‘resolution’ is more than just pixel calculation • Lens MTF, Aberrations, Diffraction Limit, Tolerances, DOF Many root causes for image to image variation • Isolate optical components, coatings, assembly, +mechanics, +sensor, + system integration & firmware • During design: think calibration requirements & manufacturing process
  • 52. © 2019 Edmond Optics Resource Slide Image Credit and Active Alignment explanation Edmund Optics Tech Notes: • Fundamental Imaging System Parameters • Lens Design: Aberrations and MTF • Distortion • DOF • Athermalization • Aspheres Books for further reading: • Modern Optical Engineering, Warren J Smith • Principles of Color Technology, Roy S Berns