HUE ANGLE DETERMINATIONS AND STATISTICAL-ANALYSIS FOR MULTIQUADRANT HUNTER L,A,B DATA

被引:227
作者
MCLELLAN, MR
LIND, LR
KIME, RW
机构
[1] Department of Food Science and Technology, Institute of Food Science Cornell University, Geneva, New York
关键词
D O I
10.1111/j.1745-4557.1995.tb00377.x
中图分类号
TS2 [食品工业];
学科分类号
0832 ;
摘要
For purposes of data analysis and data interpretation, it is important to have uniform representation of hue derived from the Hunter L, a, b color space. Using the standard calculation for hue [Are tan(b/a)], positive signed results are generated for the first quadrant [+a, +b] only. The other quadrants should be handled so that a 360 degrees representation is accommodated and results are expressed as positive signed numbers. Second quadrant [-a, +b] and third quadrant [-a, -b] calculations should be: hue = 180+Arc tan(b/a). Fourth quadrant [+a, -b] calculations should be: hue = 360+Arc tan(b/a). Furthermore when planning statistical analysis of data which transverse the IV and I quadrant, tranformations of the data will continue increasing in hue angle from 361 degrees on up as high as appropriate. A spreadsheet macro for achieving these results can be easily derived.
引用
收藏
页码:235 / 240
页数:6
相关论文
共 7 条
[1]  
FRANCIS F.J., The origin of tan<sup>−1</sup> a/b, Journal of Food Science, 40, (1975)
[2]  
FRANCIS F.J., Blueberries as a colorant ingredient in food products, Journal of Food Science, 50, pp. 754-756, (1985)
[3]  
FRANCIS F.J., Personal Communication, (1994)
[4]  
FRANCIS F.J., CLYDESDALE F.M., Food Colorimetry, Theory and Applications, (1975)
[5]  
GILL J.L., Design and Analysis of Experiments, (1978)
[6]  
LITTLE A.C., Off on a tangent, Journal of Food Science, 40, 2, pp. 410-411, (1975)
[7]  
User's Guide 2: Worksheet Analysis, Exchanging Data, Customizing and Automating, (1992)