A Closed Form Solution for the Brightness Preserving Colour to Greyscale Image Conversion
As in the previous work, we define that a greyscale is a weighted sum of R, G and B, and that resulting greyscale has the same average as the colour original. We propose that the individual weights should be between 0 and 1 and their sum is equal to 1 (this constraint appeals to our notion of reasonableness and ensures white is preserved). These constraints coupled with our requirement that brightness is preserved is interpreted geometrically. We show that the vector of 3 weighting factors must lie on a line segment and that the best solution is always at one of the endpoints. It is straightforward to directly solve for these endpoints and so directly solve the maximum contrast brightness preserving greyscale problem.
Document Type: Research Article
Publication date: January 1, 2012
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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