Abstract

ABSTRACTA mixed light source generates various colors with the potential to adjust the intensities of multiple LEDs, which makes it possible to generate arbitrary colors. Currently, PCs and OSs provide color selection windows that can obtain the red, green, and blue (RGB) or hue, saturation, and lightness (HSL) color coordinates of a user’s selection. Mixed light sources are usually composed of primary-colored LEDs with LEDs in auxiliary colors such as white and yellow used in a few cases. The number of LED inputs and the dimming levels are greater than the number of elements in the color coordinate when using auxiliary-colored LEDs, which causes an under-determined problem. This study proposes a method to determine the dimming levels of LEDs based on a simplex search method (SSM). Commercial LEDs have different optical power values and impure color elements, even if they are RGB. Hence, the characteristics of the LEDs were described using a linear model derived from the tri-stimulus values (an XYZ color coordinate model) and dimming levels. Color mixing models were derived for an arbitrary number of auxiliary-colored LEDs. The under-determined problem was solved using an SSM without an inverse matrix operation. The proposed method can be applied to a machine vision system and an RGBW light mixer for semiconductor inspection. The dimming levels, obtained using the proposed method showed better optical responses than those derived using other methods.

Highlights

  • The light sources used in industrial machine vision normally utilize one of the primary colors, red, green, and blue (RGB), whose intensities can be varied by adjusting the input level of the electric current.[1]

  • The light color is important in manufacturing process but the color selection is limited at the hardware level when using a single light source

  • The coordinate variation by the simplex search method (SSM) began from the farthest position in figure 4(a), which was the largest deviation for the methods in the experiment

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Summary

Introduction

The light sources used in industrial machine vision normally utilize one of the primary colors, red, green, and blue (RGB), whose intensities can be varied by adjusting the input level of the electric current.[1]. Auxiliary color LEDs are applied to a mixed light source when spectral-range flexibility is required. In this case, the color combination is called ‘RGB and white’ (RGBW) or ‘RGB and yellow’ (RGBY). A commercial IC for controlling a four-channel mixed source has already been introduced.[9] W 0.7255 85.719 0.9992 0.8223 100.97 0.9991 0.6233 56.358 0.9994 three elements in the color coordinate system, but the dimming levels for a mixed light source (like RGBW) require additional coordinates. A simplex search method (SSM) was used to determine the dimming levels of an RGBW source

Additive Color Model for Arbitrary LEDs
Linear Programming
Simplex Search Method
Experiment
Results
Conclusion

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