Wavefront Coding
Wavefront Coding Wavefront Coding
Hybrid imaging with a cubic-phase functionperformance parametersCurvature κ of Generalised Cornuspiral=+ ( ) κπν 16 wx203αNote that AF∞*AFy (,)(/2)(/2)exp(2) νννπ =+ Pu Pu − j uydu∫−∞replaced by linear relationship• Explanations andexpressions are obtainedfor• Mean value of MTF• W 20 (max)=3α(1-f)• Cf optimisation• Amplitude and phasemodulation of the OTFΔMTFΔMTFΔӨNet rotation of spiral removed24
The origin of image replicationsOTF Kernel SystemRecovered Original imageimageW 20 (optical)=2λW 20 (kernel) =0 =4λ =3λ =1λ =2λΔθ(v) = 4πv(W 220,0− W 2 20)+3α⎛3α sin ⎡4πv(ΔW 20) 2 / (3α) ⎤⎜ ⎣⎦−2π v ⎜ ΔW⎝20I ' res(v) ≈∞∑n=−∞⎛⎝⎜∞∑m=−∞J nsin ⎡4πv(ΔW 20,0) 2 / (3α)⎣ΔW 20,0⎞( A )J m ( C)exp ⎡⎣i(nB − mD)v⎤⎦I⎠⎟ diff(v)⎤ ⎞⎦ ⎟⎟⎠M. Demenikov & A R Harvey Optics Express 18, pp 8210 (2010)25
- Page 1 and 2: Computational Imaging:More pixels,
- Page 3 and 4: Why computational imaging?• Imagi
- Page 5 and 6: Hybrid imaging5
- Page 7 and 8: The additional parameter space with
- Page 9 and 10: Effect of defocus when usingsymmetr
- Page 11 and 12: Optimisation of artefact-free imagi
- Page 13 and 14: Through-focus imaging fidelity13
- Page 15 and 16: Expected imaging error• errorε 2
- Page 17 and 18: Relative performance of cubic, pure
- Page 19 and 20: Optimum phase amplitudeα optimum
- Page 21 and 22: Artefacts⎡OH o'(x, y) = I −1 W2
- Page 23: Decomposition of OTF• Defocus:•
- Page 27 and 28: Parametric blind-deconvolution:Calc
- Page 29 and 30: Accuracy of optical W 20DError in W
- Page 31 and 32: Simplification of LWIR F/1 f=75mm G
- Page 33 and 34: Pure and Generalised Cubic Solution
- Page 35 and 36: IR singlet and phase maskDesignManu
- Page 37 and 38: And as a movie37
- Page 39 and 40: Single-moving-element zoom lenses:t
- Page 41 and 42: No Phase maskGeneralised CubicPure
The origin of image replicationsOTF Kernel SystemRecovered Original imageimageW 20 (optical)=2λW 20 (kernel) =0 =4λ =3λ =1λ =2λΔθ(v) = 4πv(W 220,0− W 2 20)+3α⎛3α sin ⎡4πv(ΔW 20) 2 / (3α) ⎤⎜ ⎣⎦−2π v ⎜ ΔW⎝20I ' res(v) ≈∞∑n=−∞⎛⎝⎜∞∑m=−∞J nsin ⎡4πv(ΔW 20,0) 2 / (3α)⎣ΔW 20,0⎞( A )J m ( C)exp ⎡⎣i(nB − mD)v⎤⎦I⎠⎟ diff(v)⎤ ⎞⎦ ⎟⎟⎠M. Demenikov & A R Harvey Optics Express 18, pp 8210 (2010)25
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