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indistinguishable. However, the band-stop width of the resulting Filter 2 is only 13 nm, quite low in comparison to the ~300 nm range of the visible wavelengths. In order to effectively differentiate spectral features in everyday scenes, which are typically quite broad (>10 - 20 nm), the band-stop width must be larger. (a) (b) (c) Filter 1 ΞE = 0.596 Filter 2 Because this initial design produced a filter set with good white-balance, the same general approach was used in the following design revision. A similar optimization was performed as above, but the bandstop width of Filter 2 was constrained to be larger than 25 nm; this width was chosen such that it was larger than many typical spectral features found in nature, which could therefore be resolved with these filters. Instead of minimizing just the ΞπΈ color difference between the filters, a modified merit function (MF) was used that also accounted for the filter width: ππΉ = ΞπΈβππππ‘hπππππ π‘ππ. A brute-force optimization was performed, which varied the cut-on and cut-off wavelengths of the two filters (again with the longpass cut- on and bandstop cut-off wavelengths being equal). The transmission spectra of the optimized filters are given in Figure S2: a longpass filter (Filter 1) with a 450 nm cut-on wavelength, and a bandstop filter (Filter 2) with a stopband of 450 β 500 nm. The resulting filter set has a ΞπΈ color difference of 14.15, significantly above the 2.3 just noticeable difference threshold. Therefore, it is clear that for the simple design using a longpass and single-bandstop filter, there is a tradeoff between white-balance and width of the band stop region. Figure S1: (a) Plot showing the CIE ΞE color difference between filters 1 and 2 when transmitting CIE D65 white light versus cut-on/cut-off wavelength. (b) Optimized transmission response for filters 1 and 2 after the first design revision, with a band-stop region between 437 β 450 nm. (c) Rendered colors for CIE D65 white light transmitted through each filter from (b), with an optimized ΞE color difference of 0.596. 2PDF Image | Enhancing color vision by breaking binocular redundancy
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