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also enforcing other optimization conditions such as a perceptual color balance for D65 white light between eyes. The final filter designs comprise a 450nm longpass filter (Filter 1) and a 450-500nm, 630-680nm double bandstop filter (Filter 2). The 450nm transition region, where Filter 1 cuts on and the first bandstop of Filter 2 cuts off, occurs roughly at the peak sensitivity of the S cone. Therefore, Filter 1 transmits the long wavelength half of the S cone, while the first stopband of Filter 2 transmits the short wavelength half of the S cone. However, due to the nonzero sensitivity of the M and L cones between 450-500nm, their sensitivities are also inadvertently attenuated, impacting the D65 color balance between eyes. The second bandstop of Filter 2, between 630-680nm, attenuates the long wavelength tails of the M and L cone sensitivities, restoring color balance between eyes. A 450nm longpass filter (Omega Optical, 450LP RapidEdge) was chosen as Filter 1. Filter 2 was optimized using constrained optimization by linear approximation(COBYLA)tominimizethemeritfunction:ΞπΈβππππ‘hπππππ π‘ππ,whereΞπΈ isthecolor difference between Filter 1 and Filter 2 when transmitting D65 white light and Widthbandstop is the spectral width of the short-wavelength band-stop region of Filter 2. This merit function ensures satisfactory D65 color balance between eyes while also maximizing the difference between filters, enhancing their ability to distinguish spectra. For Filter 2, the transmittance of the pass and stop-bands were constrained between 5- 15% and 80-95%, respectively, and the longer wavelength stopband was constrained between 600-700nm to prevent attenuation of the M and L cones at their peak sensitivities (~550nm, ~580nm respectively). This procedure yielded an optimized response for Filter 2 with stopbands at 450 - 500 nm and 630 - 680 nm, and stopband/passband transmittance of 10% and 90%, respectively; the color difference for illuminant D65 between Filter 1 and Filter 2 is ΞπΈ = 5.21, with chromaticities of (0.348,0.406) and (0.35,0.415), respectively. 15PDF Image | Enhancing color vision by breaking binocular redundancy
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