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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.
Summary
This study introduces a new method for detecting color changes using the inner product of RGB vectors. This simple, economical approach is applicable to any color transition in indicator-based flow titrations.
Area of Science:
- Analytical Chemistry
- Spectroscopy
- Chemical Sensing
Background:
- Colorimetric analysis is crucial in chemical titrations.
- Traditional methods often require specific analytical wavelengths.
- Detecting subtle color transitions can be challenging.
Purpose of the Study:
- To present a novel concept for detecting color transitions using RGB unit vector inner products.
- To develop a digital microscope-based system for this detection.
- To apply the concept to indicator-based flow titrations.
Main Methods:
- Developed an in-house digital microscope detector.
- Created a Visual Basic program for data analysis.
- Utilized the inner product of RGB unit vectors to quantify color changes.
- Applied the method to indicator-based flow titrations.
Main Results:
- The inner product (IP) is 1 for identical vector directions and < 1 for different directions.
- A change in IP reliably indicates indicator color transition.
- The method demonstrated simplicity, economy, and versatility.
Conclusions:
- The inner product-based approach offers a versatile criterion for color transition detection.
- This method is applicable to any color change without wavelength selection.
- It provides a simple and economical alternative for flow titration analysis.
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