16 March 2015 Metamerism in the context of aperture sampling reconstruction
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Abstract
The traditional mathematical context for the modelling of metamerism is linear algebra, in particular linear transformations of finite-dimension vectors spaces; metamerism is thus traditionally considered in the natural (electromagnetic wavelength or electromagnetic frequency) domain. Aperture sampling, and sampling theory in general consider both the natural domain of signals as well their Fourier frequency domain. If (visible spectrum) signals are considered as nearly Fourier-frequency bandlimited as well as nautural-domain limited, it turns out that the discrete approach of a finite-dimension vector space of signals, commonly used in the study of metamerism is justified. Three aperture samples are not enough to recover the signal in most cases. Five aperture samples may be enough to recover a cone spectral function.
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Alfredo Restrepo, Alfredo Restrepo, Julian D. Garzon, Julian D. Garzon, } "Metamerism in the context of aperture sampling reconstruction", Proc. SPIE 9399, Image Processing: Algorithms and Systems XIII, 93990M (16 March 2015); doi: 10.1117/12.2077131; https://doi.org/10.1117/12.2077131
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