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Making the calculation of Logvinenko's coordinates easy.

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In 2009 Logvinenko introduced a new object colour space that utilises representation of non-luminous surfaces as reflectance spectra of a rectangular shape i.e. a reflectance spectrum takes two values 1+α/2 or 1−α/2 for 0 ≤ α ≤ 1 with two transitions at λ1 and λ2. The calculation of Logvinenko colour coordinates for a large set of reflectance spectra (or tristimulous values) is time consuming, even despite a more recent more efficient algorithm of Godau and Funt. In this paper, we propose two approximate, but fast solutions to finding the Logvinenko coordinates (ADL) that exploit the combinatorial properties of rectangular spectra. The proposed algorithm takes around 0.02s to calculate the ADL coordinates for 1600 surface database as opposed to earlier implementation that reported 90s. Both algorithms are approximate, but the precision should be acceptable for most of the applications as the calculated mean, median, 95 percentile and max ΔE Lab errors were respectively 0.3, 0.2, 0.7 and 1.6.
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Document Type: Research Article

Publication date: January 1, 2012

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  • CIC is the premier annual technical gathering for scientists, technologists, and engineers working in the areas of color science and systems, and their application to color imaging. Participants represent disciplines ranging from psychophysics, optical physics, image processing, color science to graphic arts, systems engineering, and hardware and software development. While a broad mix of professional interests is the hallmark of these conferences, the focus is color. CICs traditionally offer two days of short courses followed by three days of technical sessions that include three keynotes, an evening lecture, a vibrant interactive (poster) papers session, and workshops. An endearing symbol of the meeting is the Cactus Award, given each year to the author(s) of the best interactive paper; there are also Best Paper and Best Student Paper awards.

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