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Inner Product of RGB Unit Vectors for Simple and Versatile Detection of Color Transition
Naoya Kakiuchi1, Junya Ochiai2, Masaki Takeuchi1,2,3
1Graduate School of Pharmaceutical Sciences, Tokushima University, 1-78-1, Shomachi, Tokushima, 770-8505, Japan.
Abstract:
We propose a novel concept for detecting color transition by the inner product (IP) of RGB unit vectors. A digital microscope-based detector and a Visual Basic program were developed in-house. The concept is applied to indicator-based flow titration. The IP is 1 or < 1 if the vector's direction is the same or different, respectively. The IP's change can be used as a criterion for the indicator's color transition. The present IP-based approach is simple, economical, and versatile because it is applicable to any color transition without selecting an analytical wavelength.
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