Table 2 Calculation formula and typical values of coefficients \({\varvec{a}}\), \({\varvec{b}}\), and \({\varvec{c}}\) for each monochromatic region \(\it k\)
k | \(i>\) 20 calculation formula \({y}_{ij}={ai}^{2}+bi+c\) | \({y}_{ij}\) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
\(i\le\) 20 | \(i=30\) \(j=20\) | \(i=50\) \(j=40\) | \(i=70\) \(j=60\) | \(i=90\) | \(i=110\) \(j=100\) | \(i=130\) \(j=120\) | \(i=150\) \(j=140\) | ||||
\(a\) | \(b\) | \(c\) | \(j=80\) | ||||||||
White | − 5.128 \(\times\) 10–3 | 1.025 \(\times\) 10–1 | 100 | 100 | 98.46 | 92.31 | 82.05 | 67.69 | 49.23 | 26.67 | 0.00 |
Yellow | − 5.952 \(\times\) 10–3 | 1.190 \(\times\) 10–1 | 100 | 100 | 98.21 | 91.07 | 79.17 | 62.50 | 41.07 | 14.88 | 0.00 |
Red | − 6.993 \(\times\) 10–3 | 1.399 \(\times\) 10–1 | 100 | 100 | 97.90 | 89.51 | 75.52 | 55.94 | 30.77 | 0.00 | 0.00 |
Blue | − 8.333 \(\times\) 10–3 | 1.667 \(\times\) 10–1 | 100 | 100 | 97.50 | 87.50 | 70.83 | 47.50 | 17.50 | 0.00 | 0.00 |
Black | − 1.010 \(\times\) 10–2 | 2.020 \(\times\) 10–1 | 100 | 100 | 96.97 | 84.85 | 64.65 | 36.36 | 0.00 | 0.00 | 0.00 |