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Gaze-Contingent Ocular Parallax
Rendering for Virtual Reality
Robert Konrad, Anastasios Angelopoulos, Gordon Wetzstein
Ocular Parallax
Pictorial Depth Cues Non-pictorial Depth Cues
Shading Occlusion
Perspective Texturing
Motion Parallax Disparity
Retinal Blur Ocular Parallax
Pictorial Depth Cues Non-pictorial Depth Cues
Shading Occlusion
Perspective Texturing
Motion Parallax Disparity
Retinal Blur Ocular Parallax
Pictorial Depth Cues Non-pictorial Depth Cues
Shading Occlusion
Perspective Texturing
Motion Parallax Disparity
Retinal Blur Ocular Parallax
Hua et al., Opt. Express 2014
Matsuda et al., SIGGRAPH 2017
Lanman et al., SIGGRAPH Asia 2013
Padmanaban et al., PNAS 2017
Koulieris et al., SIGGRAPH 2017
Maimone et al., SIGGRAPH 2017
Pictorial Depth Cues Non-pictorial Depth Cues
Shading Occlusion
Perspective Texturing
Motion Parallax Disparity
Retinal Blur Ocular Parallax
Eye Model
Thick Lens Eye Model
Thick Lens Eye Model
F
0
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: focal pointsF, F
0
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Thick Lens Eye Model
P
0
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F
0
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: focal pointsF, F
0
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P, P
0
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: principal points
Thick Lens Eye Model
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P, P
0
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: principal points
N, N
0
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: nodal points
Thick Lens Eye Model
N<latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit 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sha1_base64="h9GLNPhIlhJID1m/Fwiv2jkEGto=">AAAB3XicbZBLSwMxFIXv1FetVatbN8EiuCozbnQpuHElLdgHtEPJpHfa2ExmSO4IpfQXuHGhiH/Lnf/G9LHQ1gOBj3MScu+JMiUt+f63V9ja3tndK+6XDsqHR8eVk3LLprkR2BSpSk0n4haV1NgkSQo7mUGeRArb0fhunref0ViZ6keaZBgmfKhlLAUnZzUe+pWqX/MXYpsQrKAKK9X7la/eIBV5gpqE4tZ2Az+jcMoNSaFwVurlFjMuxnyIXYeaJ2jD6WLQGbtwzoDFqXFHE1u4v19MeWLtJInczYTTyK5nc/O/rJtTfBNOpc5yQi2WH8W5YpSy+dZsIA0KUhMHXBjpZmVixA0X5LopuRKC9ZU3oXVVC/xa0PChCGdwDpcQwDXcwj3UoQkCEF7gDd69J+/V+1jWVfBWvZ3CH3mfP5O5i38=</latexit><latexit sha1_base64="h9GLNPhIlhJID1m/Fwiv2jkEGto=">AAAB3XicbZBLSwMxFIXv1FetVatbN8EiuCozbnQpuHElLdgHtEPJpHfa2ExmSO4IpfQXuHGhiH/Lnf/G9LHQ1gOBj3MScu+JMiUt+f63V9ja3tndK+6XDsqHR8eVk3LLprkR2BSpSk0n4haV1NgkSQo7mUGeRArb0fhunref0ViZ6keaZBgmfKhlLAUnZzUe+pWqX/MXYpsQrKAKK9X7la/eIBV5gpqE4tZ2Az+jcMoNSaFwVurlFjMuxnyIXYeaJ2jD6WLQGbtwzoDFqXFHE1u4v19MeWLtJInczYTTyK5nc/O/rJtTfBNOpc5yQi2WH8W5YpSy+dZsIA0KUhMHXBjpZmVixA0X5LopuRKC9ZU3oXVVC/xa0PChCGdwDpcQwDXcwj3UoQkCEF7gDd69J+/V+1jWVfBWvZ3CH3mfP5O5i38=</latexit><latexit sha1_base64="DOLKDrEBvcyBfEhKgX1B2zUGXT4=">AAAB6HicbVA9SwNBEJ2LXzF+RS1tFoNgFe5sTCUBGytJwHxAcoS9zVyyZm/v2N0TwpFfYGOhiK0/yc5/4ya5QhMfDDzem2FmXpAIro3rfjuFjc2t7Z3ibmlv/+DwqHx80tZxqhi2WCxi1Q2oRsEltgw3AruJQhoFAjvB5Hbud55QaR7LBzNN0I/oSPKQM2qs1LwflCtu1V2ArBMvJxXI0RiUv/rDmKURSsME1brnuYnxM6oMZwJnpX6qMaFsQkfYs1TSCLWfLQ6dkQurDEkYK1vSkIX6eyKjkdbTKLCdETVjverNxf+8XmrCmp9xmaQGJVsuClNBTEzmX5MhV8iMmFpCmeL2VsLGVFFmbDYlG4K3+vI6aV9VPbfqNd1K/SaPowhncA6X4ME11OEOGtACBgjP8ApvzqPz4rw7H8vWgpPPnMIfOJ8/pB2Myg==</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit>
N
0
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N, N
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: nodal points
Thick Lens Eye Model
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N
0
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N, N
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: nodal points
Thick Lens Eye Model
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N
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N, N
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: nodal points
Thick Lens Eye Model
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7.69 mm
Thick Lens Eye Model
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7.69 mm
Relaxed
(focused far)
Accommodated
(focused near)
Gullstrand-1 7.68 8.22
Gullstrand-Emsley 7.69 8.19
Emsley-reduced 9.2 ---
Micro Parallax Gaze-Contingent Occlusion
Visual Acuity Falls off in the Periphery
Fovea Periphery
With Motion
20/200
20/100
20/70
20/50
20/40
20/30
20/25
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Standard Graphics Pipeline
v0
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Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality

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Gaze-Contingent Ocular Parallax Rendering for Virtual Reality

  • 1. Gaze-Contingent Ocular Parallax Rendering for Virtual Reality Robert Konrad, Anastasios Angelopoulos, Gordon Wetzstein
  • 2.
  • 4. Pictorial Depth Cues Non-pictorial Depth Cues Shading Occlusion Perspective Texturing Motion Parallax Disparity Retinal Blur Ocular Parallax
  • 5. Pictorial Depth Cues Non-pictorial Depth Cues Shading Occlusion Perspective Texturing Motion Parallax Disparity Retinal Blur Ocular Parallax
  • 6. Pictorial Depth Cues Non-pictorial Depth Cues Shading Occlusion Perspective Texturing Motion Parallax Disparity Retinal Blur Ocular Parallax Hua et al., Opt. Express 2014 Matsuda et al., SIGGRAPH 2017 Lanman et al., SIGGRAPH Asia 2013 Padmanaban et al., PNAS 2017 Koulieris et al., SIGGRAPH 2017 Maimone et al., SIGGRAPH 2017
  • 7. Pictorial Depth Cues Non-pictorial Depth Cues Shading Occlusion Perspective Texturing Motion Parallax Disparity Retinal Blur Ocular Parallax
  • 10. 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sha1_base64="r7JDHSVi1a+aaoRJEtVdR3M4vT4=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUBPHYgv2ANpTNdtKu3WzC7kYoob/AiwdFvPqTvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewtr6xuVXcLu3s7u0flA+PWjpOFcMmi0WsOgHVKLjEpuFGYCdRSKNAYDsY38789hMqzWP5YCYJ+hEdSh5yRo2VGnf9csWtunOQVeLlpAI56v3yV28QszRCaZigWnc9NzF+RpXhTOC01Es1JpSN6RC7lkoaofaz+aFTcmaVAQljZUsaMld/T2Q00noSBbYzomakl72Z+J/XTU147WdcJqlByRaLwlQQE5PZ12TAFTIjJpZQpri9lbARVZQZm03JhuAtv7xKWhdVz616jctK7SaPowgncArn4MEV1OAe6tAEBgjP8ApvzqPz4rw7H4vWgpPPHMMfOJ8/mT2Mxg==</latexit><latexit 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  • 11. Thick Lens Eye Model P 0 <latexit sha1_base64="SaLU2TWs1tkf8ZgFATmX5esQwqo=">AAAB7HicbVBNS8NAEJ34WetX1aOXxSJ6KokIepKCF48VTFtoY9lsN+3SzSbsToQS+hu8eFDEqz/Im//GbZuDtj4YeLw3w8y8MJXCoOt+Oyura+sbm6Wt8vbO7t5+5eCwaZJMM+6zRCa6HVLDpVDcR4GSt1PNaRxK3gpHt1O/9cS1EYl6wHHKg5gOlIgEo2glv/GYn016lapbc2cgy8QrSBUKNHqVr24/YVnMFTJJjel4bopBTjUKJvmk3M0MTykb0QHvWKpozE2Qz46dkFOr9EmUaFsKyUz9PZHT2JhxHNrOmOLQLHpT8T+vk2F0HeRCpRlyxeaLokwSTMj0c9IXmjOUY0so08LeStiQasrQ5lO2IXiLLy+T5kXNc2ve/WW1flPEUYJjOIFz8OAK6nAHDfCBgYBneIU3RzkvzrvzMW9dcYqZI/gD5/MHgRmOdQ==</latexit><latexit 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focal pointsF, F 0 <latexit sha1_base64="ViqdQsjvOu19QTho3F6XghDEXv0=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8SEILHCOYByRpmJ7PJkNnZdaZXCEt+wosHRbz6O978GyePgyYWNBRV3XR3BYkUBl3321laXlldW89t5De3tnd2C3v7dROnmvEai2WsmwE1XArFayhQ8maiOY0CyRvB4GbsN564NiJW9zhMuB/RnhKhYBSt1KyckcpDdjLqFIpuyZ2ALBJvRoowQ7VT+Gp3Y5ZGXCGT1JiW5yboZ1SjYJKP8u3U8ISyAe3xlqWKRtz42eTeETm2SpeEsbalkEzU3xMZjYwZRoHtjCj2zbw3Fv/zWimGV34mVJIiV2y6KEwlwZiMnyddoTlDObSEMi3srYT1qaYMbUR5G4I3//IiqZ+XPLfk3V0Uy9ezOHJwCEdwCh5cQhluoQo1YCDhGV7hzXl0Xpx352PauuTMZg7gD5zPH8F8jxs=</latexit><latexit 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  • 12. 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focal pointsF, F 0 <latexit sha1_base64="ViqdQsjvOu19QTho3F6XghDEXv0=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8SEILHCOYByRpmJ7PJkNnZdaZXCEt+wosHRbz6O978GyePgyYWNBRV3XR3BYkUBl3321laXlldW89t5De3tnd2C3v7dROnmvEai2WsmwE1XArFayhQ8maiOY0CyRvB4GbsN564NiJW9zhMuB/RnhKhYBSt1KyckcpDdjLqFIpuyZ2ALBJvRoowQ7VT+Gp3Y5ZGXCGT1JiW5yboZ1SjYJKP8u3U8ISyAe3xlqWKRtz42eTeETm2SpeEsbalkEzU3xMZjYwZRoHtjCj2zbw3Fv/zWimGV34mVJIiV2y6KEwlwZiMnyddoTlDObSEMi3srYT1qaYMbUR5G4I3//IiqZ+XPLfk3V0Uy9ezOHJwCEdwCh5cQhluoQo1YCDhGV7hzXl0Xpx352PauuTMZg7gD5zPH8F8jxs=</latexit><latexit 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sha1_base64="icz1DT6aEf9qlPYRyHX6xBE0Oa4=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8S8OIpRDAPSNYwO5lNhszOrjO9QljyE148KOLV3/Hm3zh5HDSxoKGo6qa7K0ikMOi6387S8srq2npuI7+5tb2zW9jbr5s41YzXWCxj3Qyo4VIoXkOBkjcTzWkUSN4IBjdjv/HEtRGxusdhwv2I9pQIBaNopWbljFQespNRp1B0S+4EZJF4M1KEGaqdwle7G7M04gqZpMa0PDdBP6MaBZN8lG+nhieUDWiPtyxVNOLGzyb3jsixVbokjLUthWSi/p7IaGTMMApsZ0Sxb+a9sfif10oxvPIzoZIUuWLTRWEqCcZk/DzpCs0ZyqEllGlhbyWsTzVlaCPK2xC8+ZcXSf285Lkl7+6iWL6exZGDQziCU/DgEspwC1WoAQMJz/AKb86j8+K8Ox/T1iVnNnMAf+B8/gDaFI8r</latexit><latexit 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  • 13. 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sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit> N 0 <latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit> N, N 0 <latexit sha1_base64="icz1DT6aEf9qlPYRyHX6xBE0Oa4=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8S8OIpRDAPSNYwO5lNhszOrjO9QljyE148KOLV3/Hm3zh5HDSxoKGo6qa7K0ikMOi6387S8srq2npuI7+5tb2zW9jbr5s41YzXWCxj3Qyo4VIoXkOBkjcTzWkUSN4IBjdjv/HEtRGxusdhwv2I9pQIBaNopWbljFQespNRp1B0S+4EZJF4M1KEGaqdwle7G7M04gqZpMa0PDdBP6MaBZN8lG+nhieUDWiPtyxVNOLGzyb3jsixVbokjLUthWSi/p7IaGTMMApsZ0Sxb+a9sfif10oxvPIzoZIUuWLTRWEqCcZk/DzpCs0ZyqEllGlhbyWsTzVlaCPK2xC8+ZcXSf285Lkl7+6iWL6exZGDQziCU/DgEspwC1WoAQMJz/AKb86j8+K8Ox/T1iVnNnMAf+B8/gDaFI8r</latexit><latexit sha1_base64="icz1DT6aEf9qlPYRyHX6xBE0Oa4=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8S8OIpRDAPSNYwO5lNhszOrjO9QljyE148KOLV3/Hm3zh5HDSxoKGo6qa7K0ikMOi6387S8srq2npuI7+5tb2zW9jbr5s41YzXWCxj3Qyo4VIoXkOBkjcTzWkUSN4IBjdjv/HEtRGxusdhwv2I9pQIBaNopWbljFQespNRp1B0S+4EZJF4M1KEGaqdwle7G7M04gqZpMa0PDdBP6MaBZN8lG+nhieUDWiPtyxVNOLGzyb3jsixVbokjLUthWSi/p7IaGTMMApsZ0Sxb+a9sfif10oxvPIzoZIUuWLTRWEqCcZk/DzpCs0ZyqEllGlhbyWsTzVlaCPK2xC8+ZcXSf285Lkl7+6iWL6exZGDQziCU/DgEspwC1WoAQMJz/AKb86j8+K8Ox/T1iVnNnMAf+B8/gDaFI8r</latexit><latexit sha1_base64="icz1DT6aEf9qlPYRyHX6xBE0Oa4=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8S8OIpRDAPSNYwO5lNhszOrjO9QljyE148KOLV3/Hm3zh5HDSxoKGo6qa7K0ikMOi6387S8srq2npuI7+5tb2zW9jbr5s41YzXWCxj3Qyo4VIoXkOBkjcTzWkUSN4IBjdjv/HEtRGxusdhwv2I9pQIBaNopWbljFQespNRp1B0S+4EZJF4M1KEGaqdwle7G7M04gqZpMa0PDdBP6MaBZN8lG+nhieUDWiPtyxVNOLGzyb3jsixVbokjLUthWSi/p7IaGTMMApsZ0Sxb+a9sfif10oxvPIzoZIUuWLTRWEqCcZk/DzpCs0ZyqEllGlhbyWsTzVlaCPK2xC8+ZcXSf285Lkl7+6iWL6exZGDQziCU/DgEspwC1WoAQMJz/AKb86j8+K8Ox/T1iVnNnMAf+B8/gDaFI8r</latexit><latexit 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  • 14. 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sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit> N 0 <latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit> N, N 0 <latexit sha1_base64="icz1DT6aEf9qlPYRyHX6xBE0Oa4=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8S8OIpRDAPSNYwO5lNhszOrjO9QljyE148KOLV3/Hm3zh5HDSxoKGo6qa7K0ikMOi6387S8srq2npuI7+5tb2zW9jbr5s41YzXWCxj3Qyo4VIoXkOBkjcTzWkUSN4IBjdjv/HEtRGxusdhwv2I9pQIBaNopWbljFQespNRp1B0S+4EZJF4M1KEGaqdwle7G7M04gqZpMa0PDdBP6MaBZN8lG+nhieUDWiPtyxVNOLGzyb3jsixVbokjLUthWSi/p7IaGTMMApsZ0Sxb+a9sfif10oxvPIzoZIUuWLTRWEqCcZk/DzpCs0ZyqEllGlhbyWsTzVlaCPK2xC8+ZcXSf285Lkl7+6iWL6exZGDQziCU/DgEspwC1WoAQMJz/AKb86j8+K8Ox/T1iVnNnMAf+B8/gDaFI8r</latexit><latexit sha1_base64="icz1DT6aEf9qlPYRyHX6xBE0Oa4=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8S8OIpRDAPSNYwO5lNhszOrjO9QljyE148KOLV3/Hm3zh5HDSxoKGo6qa7K0ikMOi6387S8srq2npuI7+5tb2zW9jbr5s41YzXWCxj3Qyo4VIoXkOBkjcTzWkUSN4IBjdjv/HEtRGxusdhwv2I9pQIBaNopWbljFQespNRp1B0S+4EZJF4M1KEGaqdwle7G7M04gqZpMa0PDdBP6MaBZN8lG+nhieUDWiPtyxVNOLGzyb3jsixVbokjLUthWSi/p7IaGTMMApsZ0Sxb+a9sfif10oxvPIzoZIUuWLTRWEqCcZk/DzpCs0ZyqEllGlhbyWsTzVlaCPK2xC8+ZcXSf285Lkl7+6iWL6exZGDQziCU/DgEspwC1WoAQMJz/AKb86j8+K8Ox/T1iVnNnMAf+B8/gDaFI8r</latexit><latexit sha1_base64="icz1DT6aEf9qlPYRyHX6xBE0Oa4=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8S8OIpRDAPSNYwO5lNhszOrjO9QljyE148KOLV3/Hm3zh5HDSxoKGo6qa7K0ikMOi6387S8srq2npuI7+5tb2zW9jbr5s41YzXWCxj3Qyo4VIoXkOBkjcTzWkUSN4IBjdjv/HEtRGxusdhwv2I9pQIBaNopWbljFQespNRp1B0S+4EZJF4M1KEGaqdwle7G7M04gqZpMa0PDdBP6MaBZN8lG+nhieUDWiPtyxVNOLGzyb3jsixVbokjLUthWSi/p7IaGTMMApsZ0Sxb+a9sfif10oxvPIzoZIUuWLTRWEqCcZk/DzpCs0ZyqEllGlhbyWsTzVlaCPK2xC8+ZcXSf285Lkl7+6iWL6exZGDQziCU/DgEspwC1WoAQMJz/AKb86j8+K8Ox/T1iVnNnMAf+B8/gDaFI8r</latexit><latexit 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  • 15. 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sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit> N 0 <latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit> N, N 0 <latexit sha1_base64="icz1DT6aEf9qlPYRyHX6xBE0Oa4=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8S8OIpRDAPSNYwO5lNhszOrjO9QljyE148KOLV3/Hm3zh5HDSxoKGo6qa7K0ikMOi6387S8srq2npuI7+5tb2zW9jbr5s41YzXWCxj3Qyo4VIoXkOBkjcTzWkUSN4IBjdjv/HEtRGxusdhwv2I9pQIBaNopWbljFQespNRp1B0S+4EZJF4M1KEGaqdwle7G7M04gqZpMa0PDdBP6MaBZN8lG+nhieUDWiPtyxVNOLGzyb3jsixVbokjLUthWSi/p7IaGTMMApsZ0Sxb+a9sfif10oxvPIzoZIUuWLTRWEqCcZk/DzpCs0ZyqEllGlhbyWsTzVlaCPK2xC8+ZcXSf285Lkl7+6iWL6exZGDQziCU/DgEspwC1WoAQMJz/AKb86j8+K8Ox/T1iVnNnMAf+B8/gDaFI8r</latexit><latexit sha1_base64="icz1DT6aEf9qlPYRyHX6xBE0Oa4=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8S8OIpRDAPSNYwO5lNhszOrjO9QljyE148KOLV3/Hm3zh5HDSxoKGo6qa7K0ikMOi6387S8srq2npuI7+5tb2zW9jbr5s41YzXWCxj3Qyo4VIoXkOBkjcTzWkUSN4IBjdjv/HEtRGxusdhwv2I9pQIBaNopWbljFQespNRp1B0S+4EZJF4M1KEGaqdwle7G7M04gqZpMa0PDdBP6MaBZN8lG+nhieUDWiPtyxVNOLGzyb3jsixVbokjLUthWSi/p7IaGTMMApsZ0Sxb+a9sfif10oxvPIzoZIUuWLTRWEqCcZk/DzpCs0ZyqEllGlhbyWsTzVlaCPK2xC8+ZcXSf285Lkl7+6iWL6exZGDQziCU/DgEspwC1WoAQMJz/AKb86j8+K8Ox/T1iVnNnMAf+B8/gDaFI8r</latexit><latexit sha1_base64="icz1DT6aEf9qlPYRyHX6xBE0Oa4=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8S8OIpRDAPSNYwO5lNhszOrjO9QljyE148KOLV3/Hm3zh5HDSxoKGo6qa7K0ikMOi6387S8srq2npuI7+5tb2zW9jbr5s41YzXWCxj3Qyo4VIoXkOBkjcTzWkUSN4IBjdjv/HEtRGxusdhwv2I9pQIBaNopWbljFQespNRp1B0S+4EZJF4M1KEGaqdwle7G7M04gqZpMa0PDdBP6MaBZN8lG+nhieUDWiPtyxVNOLGzyb3jsixVbokjLUthWSi/p7IaGTMMApsZ0Sxb+a9sfif10oxvPIzoZIUuWLTRWEqCcZk/DzpCs0ZyqEllGlhbyWsTzVlaCPK2xC8+ZcXSf285Lkl7+6iWL6exZGDQziCU/DgEspwC1WoAQMJz/AKb86j8+K8Ox/T1iVnNnMAf+B8/gDaFI8r</latexit><latexit 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  • 16. Thick Lens Eye Model C<latexit sha1_base64="2fSk2+SINBePMeF96QdrqgCKgZU=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUevHYgv2ANpTNdtKu3WzC7kYoob/AiwdFvPqTvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY1Od+5wmV5rF8MNME/YiOJA85o8ZKzfqgXHGr7gJknXg5qUCOxqD81R/GLI1QGiao1j3PTYyfUWU4Ezgr9VONCWUTOsKepZJGqP1sceiMXFhlSMJY2ZKGLNTfExmNtJ5Gge2MqBnrVW8u/uf1UhPe+hmXSWpQsuWiMBXExGT+NRlyhcyIqSWUKW5vJWxMFWXGZlOyIXirL6+T9lXVc6te87pSu8vjKMIZnMMleHADNbiHBrSAAcIzvMKb8+i8OO/Ox7K14OQzp/AHzucPlLGMww==</latexit><latexit sha1_base64="2fSk2+SINBePMeF96QdrqgCKgZU=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUevHYgv2ANpTNdtKu3WzC7kYoob/AiwdFvPqTvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY1Od+5wmV5rF8MNME/YiOJA85o8ZKzfqgXHGr7gJknXg5qUCOxqD81R/GLI1QGiao1j3PTYyfUWU4Ezgr9VONCWUTOsKepZJGqP1sceiMXFhlSMJY2ZKGLNTfExmNtJ5Gge2MqBnrVW8u/uf1UhPe+hmXSWpQsuWiMBXExGT+NRlyhcyIqSWUKW5vJWxMFWXGZlOyIXirL6+T9lXVc6te87pSu8vjKMIZnMMleHADNbiHBrSAAcIzvMKb8+i8OO/Ox7K14OQzp/AHzucPlLGMww==</latexit><latexit sha1_base64="2fSk2+SINBePMeF96QdrqgCKgZU=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUevHYgv2ANpTNdtKu3WzC7kYoob/AiwdFvPqTvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY1Od+5wmV5rF8MNME/YiOJA85o8ZKzfqgXHGr7gJknXg5qUCOxqD81R/GLI1QGiao1j3PTYyfUWU4Ezgr9VONCWUTOsKepZJGqP1sceiMXFhlSMJY2ZKGLNTfExmNtJ5Gge2MqBnrVW8u/uf1UhPe+hmXSWpQsuWiMBXExGT+NRlyhcyIqSWUKW5vJWxMFWXGZlOyIXirL6+T9lXVc6te87pSu8vjKMIZnMMleHADNbiHBrSAAcIzvMKb8+i8OO/Ox7K14OQzp/AHzucPlLGMww==</latexit><latexit 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sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit 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sha1_base64="DOLKDrEBvcyBfEhKgX1B2zUGXT4=">AAAB6HicbVA9SwNBEJ2LXzF+RS1tFoNgFe5sTCUBGytJwHxAcoS9zVyyZm/v2N0TwpFfYGOhiK0/yc5/4ya5QhMfDDzem2FmXpAIro3rfjuFjc2t7Z3ibmlv/+DwqHx80tZxqhi2WCxi1Q2oRsEltgw3AruJQhoFAjvB5Hbud55QaR7LBzNN0I/oSPKQM2qs1LwflCtu1V2ArBMvJxXI0RiUv/rDmKURSsME1brnuYnxM6oMZwJnpX6qMaFsQkfYs1TSCLWfLQ6dkQurDEkYK1vSkIX6eyKjkdbTKLCdETVjverNxf+8XmrCmp9xmaQGJVsuClNBTEzmX5MhV8iMmFpCmeL2VsLGVFFmbDYlG4K3+vI6aV9VPbfqNd1K/SaPowhncA6X4ME11OEOGtACBgjP8ApvzqPz4rw7H8vWgpPPnMIfOJ8/pB2Myg==</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit> 7.69 mm
  • 17. Thick Lens Eye Model C<latexit sha1_base64="2fSk2+SINBePMeF96QdrqgCKgZU=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUevHYgv2ANpTNdtKu3WzC7kYoob/AiwdFvPqTvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY1Od+5wmV5rF8MNME/YiOJA85o8ZKzfqgXHGr7gJknXg5qUCOxqD81R/GLI1QGiao1j3PTYyfUWU4Ezgr9VONCWUTOsKepZJGqP1sceiMXFhlSMJY2ZKGLNTfExmNtJ5Gge2MqBnrVW8u/uf1UhPe+hmXSWpQsuWiMBXExGT+NRlyhcyIqSWUKW5vJWxMFWXGZlOyIXirL6+T9lXVc6te87pSu8vjKMIZnMMleHADNbiHBrSAAcIzvMKb8+i8OO/Ox7K14OQzp/AHzucPlLGMww==</latexit><latexit 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  • 18.
  • 20. Visual Acuity Falls off in the Periphery Fovea Periphery With Motion
  • 21.
  • 24. Is ocular parallax visible in VR? 20/100 20/200 20/70 20/50 20/40 20/30 20/25 20/20
  • 25. Is ocular parallax visible in VR? Does ocular parallax aid in? depth perception? 20/100 20/200 20/70 20/50 20/40 20/30 20/25 20/20
  • 26. Is ocular parallax visible in VR? Does ocular parallax aid in? depth perception? Does ocular parallax increase perceptual realism? 20/100 20/200 20/70 20/50 20/40 20/30 20/25 20/20
  • 29. Ocular Parallax Rendering Eye tracking required
  • 30. Ocular Parallax Rendering Eye tracking required
  • 31. Ocular Parallax Rendering Eye tracking required Standard Graphics Pipeline v0 = PVMv<latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit>