Color Matching and Color-Difference Matching

Gunter Wyszecki

doi:10.1364/JOSA.62.000117

Journal of the Optical Society of America
Vol. 62,
Issue 1,
pp. 117-128
(1972)
•https://doi.org/10.1364/JOSA.62.000117

Color Matching and Color-Difference Matching

Gunter Wyszecki

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Gunter Wyszecki, "Color Matching and Color-Difference Matching," J. Opt. Soc. Am. 62, 117-128 (1972)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

The precision of color matching is commonly described by color-matching ellipses, and the precision of matching color differences can be described by color-difference-matching ellipses. Recently obtained sets of color-matching ellipses and color-difference-matching ellipses have been compared and some important correlations are indicated. At a given location in color space, and for a given observer, the orientation and shape of a color-difference-matching ellipse are similar to those of the color-matching ellipse. The size of the color-difference-matching ellipse is always larger than the color-matching ellipse and increases linearly with the perceptual size of the color differences to be matched. There is also an indication that color-matching ellipses generally cannot be used to predict the equality of color differences that are several times a just-noticeable difference. This may have important consequences on the present practice of matching such color differences by methods based on color-matching ellipses.

Full Article | PDF Article

More Like This

Color-Difference Matches

Gunter Wyszecki and G. H. Fielder
J. Opt. Soc. Am. 61(11) 1501-1513 (1971)

Matching Color Differences*

Günter Wyszecki
J. Opt. Soc. Am. 55(10) 1319-1324 (1965)

New Color-Matching Ellipses

Günter Wyszecki and G. H. Fielder
J. Opt. Soc. Am. 61(9) 1135-1152 (1971)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (9)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Pair No.	Obs.	Test color (i)			Test color (j)			Test color (p)			Mean color (i,j)		Mean color (i,j)″		Mean color (i,j)′		T (i,j)	ΔT (i,j)	e″	e′
Pair No.	Obs.	(i)	x	y	(j)	x	y	(p)	x	y	x	y	x	y	x	y	T (i,j)	ΔT (i,j)	e″	e′
1	GF	1	0.4786	0.4327	2	0.4673	0.4073	1	0.4786	0.4327	0.4370	0.4057	0.4364	0.4116	0.4478	0.4180	6.9	2.7	0.7	1.1
	AR										0.4346	0.4075	0.4561	0.4210	0.4328	0.4065	7.0	2.5	2.7	0.2
	GW										0.4472	0.4145	0.3952	0.4064	0.4384	0.4045	7.6	1.1	3.9	2.5
2	GF	3	0.3909	0.4375	4	0.3828	0.4111	2	0.3909	0.4375	0.3656	0.4039	0.3633	0.4061	0.3481	0.4014	7.6	3.6	0.5	2.1
	AR										0.3550	0.4006	0.3619	0.4115	0.3668	0.4163	5.4	2.2	0.9	1.2
	GW										0.3651	0.4074	0.3623	0.4107	0.3621	0.4086	8.2	2.6	0.9	0.7
3	GF	7	0.4932	0.3462	8	0.4830	0.3273	3	0.4932	0.3462	0.4613	0.3367	0.4222	0.3526	0.4149	0.3419	11.3	2.1	3.4	3.4
	AR										0.4560	0.3341	0.4564	0.3357	0.4638	0.3292	8.0	2.0	0.4	1.6
	GW										0.4659	0.3471	0.4494	0.3493	0.4287	0.3401	8.4	1.7	1.8	5.3
4	GF	9	0.3079	0.3595	10	0.2926	0.3417	4	0.3079	0.3595	0.2955	0.3532	0.2960	0.3651	0.2941	0.3641	7.8	3.2	1.3	1.4
	AR										0.2951	0.3582	0.2942	0.3576	0.2972	0.3662	7.5	3.6	0.1	1.0
	GW										0.3031	0.3729	0.2924	0.3656	0.2941	0.3630	7.5	2.3	2.0	1.9
5	GF	11	0.4459	0.4809	12	0.4572	0.4756	5	0.4459	0.4809	0.4363	0.4620	0.4299	0.4534	0.4344	0.4547	4.0	0.9	0.7	0.7
	AR										0.4313	0.4505	0.4386	0.4472	0.4372	0.4600	4.3	1.9	1.4	0.7
	GW										0.4359	0.4587	0.4430	0.4620	0.4385	0.4608	4.4	1.7	1.2	0.5
6	GF	13	0.4382	0.3417	14	0.4475	0.3387	6	0.4382	0.3417	0.4361	0.3364	0.4405	0.3373	0.4376	0.3372	2.5	1.6	1.0	0.6
	AR										0.4313	0.3320	0.4341	0.3343	0.4375	0.3324	4.0	2.0	0.6	1.1
	GW										0.4325	0.3371	0.4398	0.3376	0.4381	0.3348	2.8	1.9	1.3	1.0
	GF	15	0.3756	0.3182	16	0.3822	0.3371	7	0.3822	0.3371	0.3928	0.3334	0.3977	0.3283	0.4041	0.3306	8.1	2.9	1.1	1.5
	AR										0.4014	0.3347	0.3951	0.3324	0.4044	0.3369	6.9	2.6	0.9	0.4
	GW										0.4019	0.3384	0.4061	0.3317	0.4043	0.3380	8.2	1.6	2.3	0.3
8	GF	17	0.2282	0.2815	18	0.2295	0.2987	8	0.2295	0.2987	0.2410	0.2989	0.2434	0.2908	0.2479	0.2965	7.2	2.8	1.3	1.2
	AR										0.2478	0.3084	0.2414	0.2992	0.2409	0.2966	5.7	2.6	1.1	1.3
	GW										0.2422	0.3063	0.2423	0.2938	0.2413	0.2943	6.2	2.3	2.0	1.9
9	GF	19	0.3310	0.2749	20	0.3451	0.2886	9	0.3310	0.2749	0.3376	0.2760	*	*	0.3409	0.2724	4.6	*	*	*
	AR										0.3432	0.2766	0.3473	0.2812	0.3452	0.2765	6.5	2.8	0.8	0.4
	GW										0.3382	0.2754	0.3430	0.2769	0.3392	0.2765	4.3	1.8	0.8	0.9
10	GF	36	0.3402	0.2727	19	0.3310	0.2749	9	0.3310	0.2749	0.3352	0.2816	0.3474	0.2799	0.3434	0.2876	4.2	2.3	2.1	1.5
	AR										0.3411	0.2803	0.3467	0.2828	0.3431	0.2841	5.2	1.6	1.2	1.4
	GW										0.3408	0.2893	0.3412	0.2842	0.3454	0.2899	4.6	3.1	0.7	0.6
11	GF	20	0.3451	0.2886	36	0.3402	0.2727	9	0.3310	0.2749	0.3258	0.2713	*	*	0.3317	0.2769	4.3	*	*	*
	AR										0.3256	0.2673	0.3213	0.2685	0.3277	0.2764	7.2	2.4	1.1	1.8
	GW										0.3274	0.2695	0.3288	0.2723	0.3313	0.2747	4.2	1.9	0.4	0.6
12	GF	21	0.2861	0.2531	22	0.2766	0.2551	10	0.2766	0.2551	0.2878	0.2701	0.2872	0.2659	0.2906	0.2649	5.5	2.6	0.7	1.2
	AR										0.2913	0.2767	0.2958	0.2736	0.2902	0.2768	7.5	2.3	2.1	0.3
	GW										0.2935	0.2808	0.2911	0.2777	0.2934	0.2812	9.7	3.7	0.4	0.3
13	GF	23	0.2054	0.2544	24	0.2156	0.2523	11	0.2054	0.2544	0.2052	0.2406	0.2080	0.2422	0.2043	0.2428	4.3	2.6	0.5	0.3
	AR										0.2069	0.2308	0.2070	0.2374	0.2046	0.2365	4.7	1.7	1.0	1.2
	GW										0.2087	0.2383	0.2052	0.2374	0.2061	0.2363	4.3	1.8	0.7	0.6
14	GF	25	0.5868	0.3360	26	0.5943	0.3333	12	0.5868	0.3360	0.5855	0.3305	0.5877	0.3329	0.5838	0.3329	1.1	1.8	0.6	0.6
	AR										0.5859	0.3293	0.5857	0.3318	0.5851	0.3314	1.9	1.3	0.9	0.7
	GW										0.5788	0.3263	0.5836	0.3334	0.5813	0.3329	1.2	1.5	2.1	2.0
15	GF	27	0.5741	0.3184	25	0.5868	0.3360	12	0.5868	0.3360	0.6039	0.3259	0.6194	0.3150	0.6298	0.3202	6.4	1.5	2.2	2.4
	AR										0.6016	0.3229	0.6168	0.3192	0.6117	0.3218	7.6	1.9	1.6	1.0
	GW										0.6015	0.3205	0.6225	0.3172	0.6374	0.3233	6.5	1.4	2.0	3.8
16	GF	26	0.5943	0.3333	27	0.5741	0.3184	12	0.5868	0.3360	0.5670	0.3376	0.5472	0.3394	0.5415	0.3339	5.9	1.8	1.4	2.3
	AR										0.5696	0.3328	0.5482	0.3392	0.5581	0.3338	7.3	1.3	2.7	1.5
	GW										0.5582	0.3301	0.5624	0.3364	0.5363	0.3307	5.8	2.4	0.9	1.7
17	GF	29	0.3545	0.4518	30	0.3477	0.4240	13	0.3545	0.4518	0.3368	0.4242	0.3354	0.4333	0.3388	0.4289	4.2	1.2	1.5	0.6
	AR										0.3384	0.4289	0.3348	0.4256	0.3401	0.4307	5.7	2.2	0.5	0.3
	GW										0.3367	0.4307	0.3391	0.4420	0.3409	0.4337	4.2	1.2	1.5	1.0
18	GF	28	0.3355	0.4285	29	0.3545	0.4518	13	0.3545	0.4518	0.3422	0.4266	0.3465	0.4264	0.3449	0.4178	5.3	2.5	0.8	1.5
	AR										0.3418	0.4307	*	*	0.3442	0.4148	8.1	*	*	*
	GW										0.3378	0.4108	0.3508	0.4267	0.3452	0.4132	6.3	2.2	1.9	1.1
19	GF	30	0.3477	0.4240	28	0.3355	0.4285	13	0.3545	0.4518	0.3493	0.4461	0.3487	0.4495	0.3543	0.4572	5.4	2.1	0.4	1.1
	AR										0.3471	0.4429	0.3500	0.4497	0.3537	0.4586	7.8	2.2	0.9	2.1
	GW										0.3552	0.4499	0.3472	0.4432	0.3519	0.4570	5.6	2.8	1.2	0.9
20	GF	31	0.2492	0.2769	32	0.2617	0.2912	14	0.2617	0.2912	0.2530	0.2710	0.2623	0.2776	0.2534	0.2693	5.0	1.6	2.0	0.5
	AR										0.2598	0.2709	0.2571	0.2726	0.2562	0.2717	5.2	2.6	0.7	0.9
	GW										0.2603	0.2716	0.2597	0.2726	0.2529	0.2630	7.2	2.9	0.2	1.5
21	GF	32	0.2617	0.2912	33	0.2594	0.2746	14	0.2617	0.2912	0.2522	0.2740	0.2485	0.2772	0.2506	0.2731	5.2	1.1	2.2	0.4
	AR										0.2487	0.2674	0.2550	0.2794	0.2508	0.2763	5.2	3.2	1.6	0.9
	GW										0.2520	0.2761	0.2540	0.2838	0.2539	0.2775	5.1	2.6	0.9	0.5
22	GF	33	0.2594	0.2746	31	0.2492	0.2769	14	0.2617	0.2912	0.2607	0.2866	0.2648	0.2871	0.2660	0.3006	7.0	1.7	1.3	5.0
	AR										0.2625	0.2870	0.2722	0.2977	0.2630	0.2950	6.2	1.8	1.5	1.8
	GW										0.2623	0.2993	0.2592	0.2954	0.2632	0.3024	8.5	2.6	0.9	0.5
23	GF	34	0.3101	0.3163	35	0.3251	0.3325	15	0.3101	0.3163	0.3257	0.3221	0.3220	0.3178	0.3217	0.3126	7.1	4.4	0.4	0.8
	AR										0.3292	0.3268	0.3243	0.3169	0.3217	0.3112	9.1	2.4	2.0	3.2
	GW										0.3209	0.3150	0.3241	0.3089	0.3189	0.3112	7.5	2.1	1.4	0.7
24	GF	35	0.3251	0.3325	34	0.3101	0.3163	16	0.3251	0.3325	0.3181	0.3314	0.3159	0.3326	0.3095	0.3412	11.8	3.8	1.0	5.6
	AR										0.3150	0.3350	0.3098	0.3291	0.3117	0.3366	8.9	2.1	1.5	1.4
	GW										0.3117	0.3269	0.3104	0.3309	0.3128	0.3310	6.9	1.8	1.3	1.1
25	GF	34	0.3101	0.3163	37	0.3061	0.2984	17	0.2959	0.3309	0.2986	0.3054	0.2989	0.3028	0.2964	0.3075	7.7	4.4	0.4	0.9
	AR										0.2969	0.2987	0.2965	0.3024	0.2979	0.3054	6.2	2.0	0.8	1.1
	GW										0.2973	0.3038	0.2990	0.3001	0.2954	0.2982	5.9	2.5	1.1	0.9
26	GF	37	0.3061	0.2984	34	0.3101	0.3163	15	0.3101	0.3163	0.3232	0.3246	0.3172	0.3113	0.3198	0.3116	6.4	3.1	1.5	1.4
	AR										0.3211	0.3140	0.3256	0.3158	0.3184	0.3094	7.3	1.8	0.9	1.0
	GW										0.3295	0.3292	0.3196	0.3160	0.3193	0.3140	6.8	3.8	1.3	1.5
27	GF	34	0.3101	0.3163	39	0.2996	0.3191	16	0.3251	0.3325	0.3206	0.3416	0.3128	0.3344	0.3079	0.3305	7.3	4.7	0.9	5.1
	AR										0.3135	0.3275	0.3160	0.3310	0.3110	0.3311	6.8	1.4	1.1	2.1
	GW										0.3194	0.3422	0.3134	0.3315	0.3163	0.3333	7.3	2.4	2.0	1.6
28	GF	39	0.2996	0.3191	34	0.3101	0.3163	17	0.2959	0.3309	0.2926	0.2989	0.2985	0.3037	0.3006	0.3053	6.5	4.4	0.7	0.9
	AR										0.2956	0.3027	0.2938	0.2999	0.2990	0.3023	6.3	1.8	0.5	1.0
	GW										0.2986	0.3062	0.2974	0.3049	0.2938	0.2982	6.6	2.1	0.3	1.7
29	GF	41	0.3425	0.5280	51	0.3565	0.5216	19	0.3425	0.5280	0.3388	0.5068	0.3433	0.4995	0.3389	0.4939	4.1	2.1	0.9	0.9
	AR										0.3383	0.4962	0.3377	0.4975	0.3408	0.4825	6.8	3.1	0.2	1.4
	GW										0.3324	0.4756	0.3389	0.4796	0.3344	0.4682	4.9	2.3	0.8	0.6
30	GF	52	0.2848	0.4474	42	0.3022	0.4725	20	0.3022	0.4725	0.2941	0.4384	0.2986	0.4295	0.2909	0.4255	6.7	1.4	1.8	1.5
	AR										0.2975	0.4467	0.3011	0.4233	0.2994	0.4102	9.2	2.2	2.2	3.2
	GW										0.2954	0.4328	0.2940	0.4317	0.2870	0.4121	6.9	1.9	0.3	2.0
31	GF	53	0.4992	0.4240	43	0.4873	0.3994	21	0.4873	0.3994	0.4600	0.4013	0.4608	0.3986	0.4537	0.4140	10.5	3.4	0.5	2.7
	AR										0.4731	0.4004	0.4610	0.4041	0.4661	0.4104	7.7	2.2	1.8	2.2
	GW										0.4690	0.4070	0.4588	0.4042	0.4394	0.3965	7.3	2.3	0.8	1.8
32	GF	54	0.5561	0.3999	55	0.5649	0.3962	22	0.5428	0.3776	0.5554	0.3813	0.5533	0.3936	0.5523	0.3943	2.1	1.9	2.2	2.3
	AR										0.5554	0.3724	*	*	0.5535	0.3935	2.4	*	*	*
	GW										0.5179	0.3740	*	*	0.5506	0.3934	1.7	*	*	*
33	GF	45	0.2670	0.4240	56	0.2800	0.4195	23	0.2670	0.4240	0.2725	0.4034	0.2690	0.3777	0.2662	0.3990	5.1	1.3	2.0	1.6
	AR										0.2734	0.3985	0.2649	0.3926	0.2689	0.3870	6.4	1.8	1.8	1.2
	GW										0.2791	0.4024	0.2753	0.4041	0.2688	0.3944	4.8	2.0	0.7	2.5
34	GF	46	0.3753	0.3867	57	0.3861	0.3830	24	0.3753	0.3867	0.3616	0.3700	0.3718	0.3692	0.3645	0.3643	5.5	1.7	2.6	1.7
	AR										0.3686	0.3711	0.3673	0.3688	0.3700	0.3694	5.0	2.3	0.3	0.4
	GW										0.3644	0.3687	0.3704	0.3716	0.3605	0.3680	2.5	1.5	0.7	0.5
35	GF	58	0.5321	0.3115	59	0.5138	0.2974	25	0.5242	0.3140	0.5115	0.2993	*	*	0.4791	0.3175	6.6	*	*	*
	AR										0.4978	0.2945	*	*	0.5041	0.3109	4.7	*	*	*
	GW										0.4962	0.3063	0.4963	0.3093	0.4994	0.3096	4.0	1.8	0.5	0.6
36	GF	61	0.2848	0.3665	60	0.2699	0.3481	26	0.2730	0.3701	0.2705	0.3622	0.2704	0.3672	0.2711	0.3662	6.1	1.7	1.0	0.7
	AR										0.2768	0.3677	0.2711	0.3675	0.2742	0.3751	6.7	2.1	1.3	1.7
	GW										…	…	…	…	…	…	…	…	…	…
37	GF	62	0.4735	0.3096	63	0.4563	0.2954	27	0.4650	0.3122	0.4502	0.3037	0.4411	0.3080	0.4348	0.3149	6.6	2.1	1.4	2.9
	AR										0.4476	0.2945	*	*	0.4499	0.3102	5.1	*	*	*
	GW										0.4497	0.3074	0.4455	0.3110	0.4443	0.3062	4.0	1.3	0.8	0.6
38	GF	64	0.4146	0.2885	65	0.3991	0.2751	28	0.4058	0.2909	0.3955	0.2818	*	*	0.3881	0.2865	6.3	*	*	*
	AR										0.3916	0.2720	*	*	0.4016	0.2878	3.7	*	*	*
	GW										0.3962	0.2830	*	*	0.3994	0.2911	4.0	*	*	*

Pair No.	Ellipse	GF					AR					GW
Pair No.	Ellipse	θ (deg)	a (·10³)	b (·10³)	a/b	log₁₀A	θ (deg)	a (·10³)	b (·10³)	a/b	log₁₀A	θ (deg)	a (·10³)	b (·10³)	a/b	log₁₀A
1	cm	34	5.0	2.9	1.71	−4.331	28	7.5	2.7	2.80	−4.194	35	6.5	2.2	2.99	−4.356
	cdm	25	19.1	8.2	2.32	−3.307	52	10.3	6.2	1.67	−3.697	12	14.0	3.4	4.07	−3.824
	(cdm)′	32			2.83		28			2.69		35			1.97
2	cm	39	7.2	2.2	3.22	−4.291	52	6.1	2.9	2.10	−4.251	48	4.9	1.8	2.74	−4.557
	cdm	51	19.6	6.0	3.25	−3.430	46	16.3	6.8	2.41	−3.460	47	12.4	4.9	2.52	−3.715
	(cdm)′	55			3.96		45			3.54		53			3.20
3	cm	177	7.5	1.7	4.35	−4.394	31	4.2	1.6	2.55	−4.668	179	8.2	2.3	3.57	−4.231
	cdm	168	14.6	3.8	3.79	−3.756	12	9.8	4.5	2.20	−3.861	165	9.5	4.2	2.24	−3.896
	(cdm)′	14			1.90		14			2.32		159			1.33
4	cm	65	3.2	1.9	1.73	−4.726	67	3.6	1.7	2.16	−4.721	63	3.3	1.9	1.76	−4.718
	cdm	66	10.8	5.4	1.99	−3.735	51	11.3	5.1	2.24	−3.745	71	7.8	5.1	1.54	−3.904
	(cdm)′	48			3.90		53			2.34		68			3.36
5	cm	53	8.8	3.0	2.87	−4.075	49	6.6	2.8	2.32	−4.232	50	6.0	2.8	2.17	−4.280
	cdm	47	16.9	5.4	3.14	−3.542	67	16.9	5.6	3.04	−3.529	60	8.0	4.8	1.67	−3.916
	(cdm)′	41			2.20		52			3.19		48			2.37
6	cm	177	4.6	1.9	2.46	−4.572	27	2.9	2.1	1.38	−4.711	5	3.9	2.4	1.59	−4.533
	cdm	166	6.5	2.6	2.49	−4.275	16	7.1	3.3	2.13	−4.126	168	6.9	2.6	2.64	−4.247
	(cdm)′	3			2.28		25			2.42		4			3.35
7	cm	21	3.8	2.1	1.81	−4.604	32	4.8	2.0	2.37	−4.509	34	4.2	1.7	2.50	−4.661
	cdm	30	8.9	6.1	1.47	−3.771	45	9.4	4.8	1.93	−3.847	20	6.7	3.4	2.00	−4.147
	(cdm)′	51			2.25		33			2.13		38			2.60
8	cm	34	3.5	2.1	1.70	−4.643	60	3.7	1.9	1.90	−4.648	59	3.2	2.0	1.57	−4.700
	cdm	50	7.0	6.2	1.13	−3.862	59	10.0	4.6	2.17	−3.835	56	7.2	5.0	1.43	−3.946
	(cdm)′	61			2.16		52			3.18		61			3.38
9	cm	55	4.5	2.1	2.13	−4.525	42	3.0	1.6	1.91	−4.824	54	5.0	1.9	2.59	−4.526
	cdm	*	*	*	*	*	36	9.1	3.2	2.88	−4.047	44	8.3	3.4	2.48	−4.057
	(cdm)′	47			5.00		44			2.34		48			3.89
10	cm	55	4.5	2.1	2.13	−4.525	42	3.0	1.6	1.91	−4.824	54	5.0	1.9	2.59	−4.526
	cdm	18	9.3	3.0	3.12	−4.056	29	5.3	2.1	2.52	−4.460	50	9.0	5.7	1.57	−3.791
	(cdm)′	135			1.35		20			1.63		69			2.01
11	cm	55	4.5	2.1	2.13	−4.525	42	3.0	1.6	1.91	−4.824	54	5.0	1.9	2.59	−4.526
	cdm	*	*	*	*	*	39	10.4	3.5	3.01	−3.947	49	10.3	3.9	2.65	−3.900
	(cdm)′	43			2.63		48			3.50		50			3.15
12	cm	41	3.3	1.5	2.17	−4.813	68	3.8	1.2	3.10	−4.829	65	3.7	1.0	3.80	−4.938
	cdm	55	7.5	4.5	1.69	−3.977	51	8.4	2.6	3.26	−4.166	66	11.2	3.6	3.12	−3.900
	(cdm)′	65			2.19		65			3.04		64			3.60
13	cm	38	3.2	2.1	1.54	−4.668	66	4.0	2.2	1.85	−4.556	73	4.4	2.4	1.79	−4.476
	cdm	75	7.9	6.2	1.27	−3.813	77	6.8	3.8	1.80	−4.093	69	8.1	4.3	1.88	−3.960
	(cdm)′	60			1.60		81			2.53		86			1.68
14	cm	176	8.9	2.9	3.04	−4.085	1	4.9	2.4	2.02	−4.427	179	10.0	2.8	3.63	−4.061
	cdm	166	13.4	4.5	2.94	−3.721	176	6.5	2.9	2.21	−4.220	175	13.1	3.6	3.69	−3.836
	(cdm)′	7			1.75		16			1.44		29			2.73
15	cm	176	8.9	2.9	3.04	−4.085	1	4.9	2.4	2.02	−4.427	179	10.0	2.8	3.63	−4.061
	cdm	167	11.1	4.8	2.34	−3.779	174	10.4	4.6	2.26	−3.820	171	10.7	4.2	2.56	−3.856
	(cdm)′	16			1.90		13			1.58		5			1.43
16	cm	176	8.9	2.9	3.04	−4.085	1	4.9	2.4	2.02	−4.427	179	10.0	2.8	3.63	−4.061
	cdm	169	14.1	5.8	2.42	−3.588	169	8.4	3.6	2.36	−4.025	179	13.0	7.8	1.67	−3.497
	(cdm)′	4			1.41		20			1.81		8			2.43
17	cm	68	7.6	2.4	3.12	−4.239	70	5.2	1.7	3.16	−4.562	72	6.9	2.3	2.97	−4.301
	cdm	63	8.7	4.3	2.02	−3.927	61	13.2	4.6	2.88	−3.720	78	7.8	4.0	1.98	−4.014
	(cdm)′	64			3.56		66			3.09		64			2.47
18	cm	68	7.6	2.4	3.12	−4.239	70	5.2	1.7	3.16	−4.562	72	6.9	2.3	2.97	−4.301
	cdm	59	15.0	4.9	3.06	−3.635	*	*	*	*	*	59	11.1	5.1	2.17	−3.747
	(cdm)′	56			5.03		53			8.44		65			4.47
19	cm	68	7.6	2.4	3.12	−4.239	70	5.2	1.7	3.16	−4.562	72	6.9	2.3	2.97	−4.301
	cdm	74	11.0	5.1	2.17	−3.759	70	8.4	3.8	2.22	−4.005	73	10.4	6.5	1.59	−3.671
	(cdm)′	68			1.90		73			1.56		58			2.47
20	cm	62	4.7	1.4	3.24	−4.672	62	4.1	1.6	2.49	−4.678	70	3.9	1.2	3.21	−4.824
	cdm	49	6.0	3.4	1.77	−4.189	62	10.4	4.4	2.38	−3.848	65	8.3	4.3	1.82	−3.928
	(cdm)′	60			3.70		70			1.79		69			1.71
21	cm	62	4.7	1.4	3.24	−4.672	62	4.1	1.6	2.49	−4.678	70	3.9	1.2	3.21	−4.824
	cdm	57	4.2	2.3	1.86	−4.529	76	10.7	3.3	3.19	−3.951	82	8.6	4.0	2.17	−3.966
	(cdm)′	68			3.20		63			4.02		67			2.66
22	cm	62	4.7	1.4	3.24	−4.672	62	4.1	1.6	2.49	−4.678	70	3.9	1.2	3.21	−4.824
	cdm	37	4.4	2.0	2.20	−4.555	48	9.6	2.7	3.57	−4.094	76	7.0	3.1	2.23	−4.164
	(cdm)′	45			1.59		42			1.84		70			2.76
23	cm	59	3.3	1.7	1.96	−4.762	64	2.7	1.4	1.86	−4.920	60	3.3	1.4	2.42	−4.861
	cdm	50	13.5	5.4	2.49	−3.638	49	5.8	3.0	1.91	−4.255	72	6.7	4.2	1.59	−4.041
	(cdm)′	42			2.67		38			3.55		55			2.34
24	cm	81	2.2	1.5	1.48	−4.991	62	2.6	1.6	1.67	−4.886	50	3.2	1.4	2.34	−4.855
	cdm	53	7.6	2.5	3.00	−4.219	44	5.4	2.4	2.19	−4.384	47	5.9	3.0	1.97	−4.257
	(cdm)′	51			4.70		57			2.37		45			3.22
25	cm	67	2.4	1.7	1.44	−4.897	66	3.1	1.7	1.82	−4.779	57	4.0	1.6	2.56	−4.699
	cdm	65	11.6	4.8	2.43	−3.760	59	6.8	3.3	2.05	−4.150	65	9.1	3.0	3.05	−4.074
	(cdm)′	67			1.96		60			2.81		62			1.96
26	cm	59	3.3	1.7	1.96	−4.762	64	2.7	1.4	1.86	−4.920	60	3.3	1.4	2.42	−4.861
	cdm	66	9.8	4.2	2.33	−3.890	44	6.6	3.1	2.14	−4.198	59	13.2	4.8	2.73	−3.699
	(cdm)′	58			4.24		55			2.15		52			4.44
27	cm	81	2.2	1.5	1.48	−4.991	62	2.6	1.6	1.67	−4.886	50	3.2	1.4	2.34	−4.855
	cdm	61	14.1	7.0	2.02	−3.510	42	4.2	1.9	2.18	−4.600	51	6.3	3.4	1.87	−4.173
	(cdm)′	55			3.25		33			1.81		58			3.17
28	cm	67	2.4	1.7	1.44	−4.897	66	3.1	1.7	1.82	−4.779	57	4.0	1.6	2.56	−4.699
	cdm	60	12.4	7.3	1.69	−3.545	54	7.0	2.9	2.38	−4.196	51	5.3	3.1	1.70	−4.283
	(cdm)′	53			2.56		53			2.02		50			1.51
29	cm	73	9.3	3.7	2.49	−3.965	80	7.4	2.2	3.38	−4.288	76	14.0	3.1	4.52	−3.866
	cdm	80	15.3	7.6	2.01	−3.438	67	16.0	7.2	2.23	−3.445	78	25.2	7.1	3.57	−3.252
	(cdm)′	55			1.59		69			2.31		72			4.00
30	cm	75	6.9	1.9	3.58	−4.374	90	6.6	2.1	3.20	−4.369	77	8.6	1.8	4.71	−4.302
	cdm	81	8.9	3.8	2.38	−3.979	88	11.5	4.8	2.41	−3.761	74	11.4	3.9	2.92	−3.858
	(cdm)′	69			2.94		62			2.63		75			2.68
31	cm	6	4.4	2.3	1.90	−4.488	27	4.6	2.7	1.68	−4.407	21	9.0	2.7	3.36	−4.119
	cdm	34	14.9	5.2	2.85	−3.611	28	12.6	5.5	2.29	−3.663	25	13.8	6.0	2.31	−3.586
	(cdm)′	30			2.56		47			3.19		36			2.00
32	cm	2	5.9	2.7	2.23	−4.305	4	4.8	2.6	1.85	−4.398	8	8.4	3.7	2.30	−4.014
	cdm	5	11.0	5.7	1.94	−3.707	*	*	*	*	*	*	*	*	*	*
	(cdm)′	75			2.12		80			3.23		29			7.49
33	cm	72	5.6	2.7	2.05	−4.326	84	6.4	2.1	3.05	−4.367	82	6.8	2.8	2.41	−4.220
	cdm	85	13.5	3.5	3.82	−3.826	74	10.3	3.9	2.54	−3.910	109	9.1	5.0	1.83	−3.849
	(cdm)′	97			1.67		96			2.12		117			2.36
34	cm	50	5.4	2.0	2.75	−4.477	51	4.3	2.2	1.96	−4.535	36	6.1	2.0	3.10	−4.429
	cdm	56	6.6	3.5	1.87	−4.142	45	11.4	4.9	2.33	−3.753	44	11.4	6.1	1.87	−3.665
	(cdm)′	83			3.07		41			2.10		40			2.69
35	cm	169	8.0	2.7	2.90	−4.165	11	5.9	3.3	1.79	−4.210	8	7.8	3.7	2.10	−4.042
	cdm	*	*	*	*	*	*	*	*	*	*	5	15.9	6.6	2.41	−3.482
	(cdm)′	34			9.71		27			7.47		10			2.79
36	cm	56	3.9	2.0	1.94	−4.608	72	4.3	2.0	2.16	−4.575	…	…	…	…	…
	cdm	58	6.6	3.6	1.83	−4.125	59	7.3	3.8	1.92	−4.054	…	…	…	…	…
	(cdm)′	50			2.45		58			3.36		…	…	…	…	…
37	cm	169	5.7	2.8	2.03	−4.293	18	4.8	3.1	1.57	−4.335	14	7.3	3.4	2.15	−4.111
	cdm	5	10.2	4.9	2.11	−3.807	*	*	*	*	*	3	9.5	5.8	1.64	−3.761
	(cdm)′	25			2.58		32			7.65		19			1.89
38	cm	9	4.4	2.2	1.98	−4.617	39	5.5	2.6	2.14	−4.348	40	5.1	3.5	1.46	−4.255
	cdm	*	*	*	*	*	*	*	*	*	*	*	*	*	*	*
	(cdm)′	30			3.03		37			14.00		30			2.70

Pair No.	Obs.	Test color (i)			Test color (j)			Test color (p)			Mean color (i,j)		Mean color (i,j)″		Mean color (i,j)′		T (i,j)	ΔT (i,j)	e″	e′
Pair No.	Obs.	(i)	x	y	(j)	x	y	(p)	x	y	x	y	x	y	x	y	T (i,j)	ΔT (i,j)	e″	e′
1	GF	1	0.4786	0.4327	2	0.4673	0.4073	1	0.4786	0.4327	0.4370	0.4057	0.4364	0.4116	0.4478	0.4180	6.9	2.7	0.7	1.1
	AR										0.4346	0.4075	0.4561	0.4210	0.4328	0.4065	7.0	2.5	2.7	0.2
	GW										0.4472	0.4145	0.3952	0.4064	0.4384	0.4045	7.6	1.1	3.9	2.5
2	GF	3	0.3909	0.4375	4	0.3828	0.4111	2	0.3909	0.4375	0.3656	0.4039	0.3633	0.4061	0.3481	0.4014	7.6	3.6	0.5	2.1
	AR										0.3550	0.4006	0.3619	0.4115	0.3668	0.4163	5.4	2.2	0.9	1.2
	GW										0.3651	0.4074	0.3623	0.4107	0.3621	0.4086	8.2	2.6	0.9	0.7
3	GF	7	0.4932	0.3462	8	0.4830	0.3273	3	0.4932	0.3462	0.4613	0.3367	0.4222	0.3526	0.4149	0.3419	11.3	2.1	3.4	3.4
	AR										0.4560	0.3341	0.4564	0.3357	0.4638	0.3292	8.0	2.0	0.4	1.6
	GW										0.4659	0.3471	0.4494	0.3493	0.4287	0.3401	8.4	1.7	1.8	5.3
4	GF	9	0.3079	0.3595	10	0.2926	0.3417	4	0.3079	0.3595	0.2955	0.3532	0.2960	0.3651	0.2941	0.3641	7.8	3.2	1.3	1.4
	AR										0.2951	0.3582	0.2942	0.3576	0.2972	0.3662	7.5	3.6	0.1	1.0
	GW										0.3031	0.3729	0.2924	0.3656	0.2941	0.3630	7.5	2.3	2.0	1.9
5	GF	11	0.4459	0.4809	12	0.4572	0.4756	5	0.4459	0.4809	0.4363	0.4620	0.4299	0.4534	0.4344	0.4547	4.0	0.9	0.7	0.7
	AR										0.4313	0.4505	0.4386	0.4472	0.4372	0.4600	4.3	1.9	1.4	0.7
	GW										0.4359	0.4587	0.4430	0.4620	0.4385	0.4608	4.4	1.7	1.2	0.5
6	GF	13	0.4382	0.3417	14	0.4475	0.3387	6	0.4382	0.3417	0.4361	0.3364	0.4405	0.3373	0.4376	0.3372	2.5	1.6	1.0	0.6
	AR										0.4313	0.3320	0.4341	0.3343	0.4375	0.3324	4.0	2.0	0.6	1.1
	GW										0.4325	0.3371	0.4398	0.3376	0.4381	0.3348	2.8	1.9	1.3	1.0
	GF	15	0.3756	0.3182	16	0.3822	0.3371	7	0.3822	0.3371	0.3928	0.3334	0.3977	0.3283	0.4041	0.3306	8.1	2.9	1.1	1.5
	AR										0.4014	0.3347	0.3951	0.3324	0.4044	0.3369	6.9	2.6	0.9	0.4
	GW										0.4019	0.3384	0.4061	0.3317	0.4043	0.3380	8.2	1.6	2.3	0.3
8	GF	17	0.2282	0.2815	18	0.2295	0.2987	8	0.2295	0.2987	0.2410	0.2989	0.2434	0.2908	0.2479	0.2965	7.2	2.8	1.3	1.2
	AR										0.2478	0.3084	0.2414	0.2992	0.2409	0.2966	5.7	2.6	1.1	1.3
	GW										0.2422	0.3063	0.2423	0.2938	0.2413	0.2943	6.2	2.3	2.0	1.9
9	GF	19	0.3310	0.2749	20	0.3451	0.2886	9	0.3310	0.2749	0.3376	0.2760	*	*	0.3409	0.2724	4.6	*	*	*
	AR										0.3432	0.2766	0.3473	0.2812	0.3452	0.2765	6.5	2.8	0.8	0.4
	GW										0.3382	0.2754	0.3430	0.2769	0.3392	0.2765	4.3	1.8	0.8	0.9
10	GF	36	0.3402	0.2727	19	0.3310	0.2749	9	0.3310	0.2749	0.3352	0.2816	0.3474	0.2799	0.3434	0.2876	4.2	2.3	2.1	1.5
	AR										0.3411	0.2803	0.3467	0.2828	0.3431	0.2841	5.2	1.6	1.2	1.4
	GW										0.3408	0.2893	0.3412	0.2842	0.3454	0.2899	4.6	3.1	0.7	0.6
11	GF	20	0.3451	0.2886	36	0.3402	0.2727	9	0.3310	0.2749	0.3258	0.2713	*	*	0.3317	0.2769	4.3	*	*	*
	AR										0.3256	0.2673	0.3213	0.2685	0.3277	0.2764	7.2	2.4	1.1	1.8
	GW										0.3274	0.2695	0.3288	0.2723	0.3313	0.2747	4.2	1.9	0.4	0.6
12	GF	21	0.2861	0.2531	22	0.2766	0.2551	10	0.2766	0.2551	0.2878	0.2701	0.2872	0.2659	0.2906	0.2649	5.5	2.6	0.7	1.2
	AR										0.2913	0.2767	0.2958	0.2736	0.2902	0.2768	7.5	2.3	2.1	0.3
	GW										0.2935	0.2808	0.2911	0.2777	0.2934	0.2812	9.7	3.7	0.4	0.3
13	GF	23	0.2054	0.2544	24	0.2156	0.2523	11	0.2054	0.2544	0.2052	0.2406	0.2080	0.2422	0.2043	0.2428	4.3	2.6	0.5	0.3
	AR										0.2069	0.2308	0.2070	0.2374	0.2046	0.2365	4.7	1.7	1.0	1.2
	GW										0.2087	0.2383	0.2052	0.2374	0.2061	0.2363	4.3	1.8	0.7	0.6
14	GF	25	0.5868	0.3360	26	0.5943	0.3333	12	0.5868	0.3360	0.5855	0.3305	0.5877	0.3329	0.5838	0.3329	1.1	1.8	0.6	0.6
	AR										0.5859	0.3293	0.5857	0.3318	0.5851	0.3314	1.9	1.3	0.9	0.7
	GW										0.5788	0.3263	0.5836	0.3334	0.5813	0.3329	1.2	1.5	2.1	2.0
15	GF	27	0.5741	0.3184	25	0.5868	0.3360	12	0.5868	0.3360	0.6039	0.3259	0.6194	0.3150	0.6298	0.3202	6.4	1.5	2.2	2.4
	AR										0.6016	0.3229	0.6168	0.3192	0.6117	0.3218	7.6	1.9	1.6	1.0
	GW										0.6015	0.3205	0.6225	0.3172	0.6374	0.3233	6.5	1.4	2.0	3.8
16	GF	26	0.5943	0.3333	27	0.5741	0.3184	12	0.5868	0.3360	0.5670	0.3376	0.5472	0.3394	0.5415	0.3339	5.9	1.8	1.4	2.3
	AR										0.5696	0.3328	0.5482	0.3392	0.5581	0.3338	7.3	1.3	2.7	1.5
	GW										0.5582	0.3301	0.5624	0.3364	0.5363	0.3307	5.8	2.4	0.9	1.7
17	GF	29	0.3545	0.4518	30	0.3477	0.4240	13	0.3545	0.4518	0.3368	0.4242	0.3354	0.4333	0.3388	0.4289	4.2	1.2	1.5	0.6
	AR										0.3384	0.4289	0.3348	0.4256	0.3401	0.4307	5.7	2.2	0.5	0.3
	GW										0.3367	0.4307	0.3391	0.4420	0.3409	0.4337	4.2	1.2	1.5	1.0
18	GF	28	0.3355	0.4285	29	0.3545	0.4518	13	0.3545	0.4518	0.3422	0.4266	0.3465	0.4264	0.3449	0.4178	5.3	2.5	0.8	1.5
	AR										0.3418	0.4307	*	*	0.3442	0.4148	8.1	*	*	*
	GW										0.3378	0.4108	0.3508	0.4267	0.3452	0.4132	6.3	2.2	1.9	1.1
19	GF	30	0.3477	0.4240	28	0.3355	0.4285	13	0.3545	0.4518	0.3493	0.4461	0.3487	0.4495	0.3543	0.4572	5.4	2.1	0.4	1.1
	AR										0.3471	0.4429	0.3500	0.4497	0.3537	0.4586	7.8	2.2	0.9	2.1
	GW										0.3552	0.4499	0.3472	0.4432	0.3519	0.4570	5.6	2.8	1.2	0.9
20	GF	31	0.2492	0.2769	32	0.2617	0.2912	14	0.2617	0.2912	0.2530	0.2710	0.2623	0.2776	0.2534	0.2693	5.0	1.6	2.0	0.5
	AR										0.2598	0.2709	0.2571	0.2726	0.2562	0.2717	5.2	2.6	0.7	0.9
	GW										0.2603	0.2716	0.2597	0.2726	0.2529	0.2630	7.2	2.9	0.2	1.5
21	GF	32	0.2617	0.2912	33	0.2594	0.2746	14	0.2617	0.2912	0.2522	0.2740	0.2485	0.2772	0.2506	0.2731	5.2	1.1	2.2	0.4
	AR										0.2487	0.2674	0.2550	0.2794	0.2508	0.2763	5.2	3.2	1.6	0.9
	GW										0.2520	0.2761	0.2540	0.2838	0.2539	0.2775	5.1	2.6	0.9	0.5
22	GF	33	0.2594	0.2746	31	0.2492	0.2769	14	0.2617	0.2912	0.2607	0.2866	0.2648	0.2871	0.2660	0.3006	7.0	1.7	1.3	5.0
	AR										0.2625	0.2870	0.2722	0.2977	0.2630	0.2950	6.2	1.8	1.5	1.8
	GW										0.2623	0.2993	0.2592	0.2954	0.2632	0.3024	8.5	2.6	0.9	0.5
23	GF	34	0.3101	0.3163	35	0.3251	0.3325	15	0.3101	0.3163	0.3257	0.3221	0.3220	0.3178	0.3217	0.3126	7.1	4.4	0.4	0.8
	AR										0.3292	0.3268	0.3243	0.3169	0.3217	0.3112	9.1	2.4	2.0	3.2
	GW										0.3209	0.3150	0.3241	0.3089	0.3189	0.3112	7.5	2.1	1.4	0.7
24	GF	35	0.3251	0.3325	34	0.3101	0.3163	16	0.3251	0.3325	0.3181	0.3314	0.3159	0.3326	0.3095	0.3412	11.8	3.8	1.0	5.6
	AR										0.3150	0.3350	0.3098	0.3291	0.3117	0.3366	8.9	2.1	1.5	1.4
	GW										0.3117	0.3269	0.3104	0.3309	0.3128	0.3310	6.9	1.8	1.3	1.1
25	GF	34	0.3101	0.3163	37	0.3061	0.2984	17	0.2959	0.3309	0.2986	0.3054	0.2989	0.3028	0.2964	0.3075	7.7	4.4	0.4	0.9
	AR										0.2969	0.2987	0.2965	0.3024	0.2979	0.3054	6.2	2.0	0.8	1.1
	GW										0.2973	0.3038	0.2990	0.3001	0.2954	0.2982	5.9	2.5	1.1	0.9
26	GF	37	0.3061	0.2984	34	0.3101	0.3163	15	0.3101	0.3163	0.3232	0.3246	0.3172	0.3113	0.3198	0.3116	6.4	3.1	1.5	1.4
	AR										0.3211	0.3140	0.3256	0.3158	0.3184	0.3094	7.3	1.8	0.9	1.0
	GW										0.3295	0.3292	0.3196	0.3160	0.3193	0.3140	6.8	3.8	1.3	1.5
27	GF	34	0.3101	0.3163	39	0.2996	0.3191	16	0.3251	0.3325	0.3206	0.3416	0.3128	0.3344	0.3079	0.3305	7.3	4.7	0.9	5.1
	AR										0.3135	0.3275	0.3160	0.3310	0.3110	0.3311	6.8	1.4	1.1	2.1
	GW										0.3194	0.3422	0.3134	0.3315	0.3163	0.3333	7.3	2.4	2.0	1.6
28	GF	39	0.2996	0.3191	34	0.3101	0.3163	17	0.2959	0.3309	0.2926	0.2989	0.2985	0.3037	0.3006	0.3053	6.5	4.4	0.7	0.9
	AR										0.2956	0.3027	0.2938	0.2999	0.2990	0.3023	6.3	1.8	0.5	1.0
	GW										0.2986	0.3062	0.2974	0.3049	0.2938	0.2982	6.6	2.1	0.3	1.7
29	GF	41	0.3425	0.5280	51	0.3565	0.5216	19	0.3425	0.5280	0.3388	0.5068	0.3433	0.4995	0.3389	0.4939	4.1	2.1	0.9	0.9
	AR										0.3383	0.4962	0.3377	0.4975	0.3408	0.4825	6.8	3.1	0.2	1.4
	GW										0.3324	0.4756	0.3389	0.4796	0.3344	0.4682	4.9	2.3	0.8	0.6
30	GF	52	0.2848	0.4474	42	0.3022	0.4725	20	0.3022	0.4725	0.2941	0.4384	0.2986	0.4295	0.2909	0.4255	6.7	1.4	1.8	1.5
	AR										0.2975	0.4467	0.3011	0.4233	0.2994	0.4102	9.2	2.2	2.2	3.2
	GW										0.2954	0.4328	0.2940	0.4317	0.2870	0.4121	6.9	1.9	0.3	2.0
31	GF	53	0.4992	0.4240	43	0.4873	0.3994	21	0.4873	0.3994	0.4600	0.4013	0.4608	0.3986	0.4537	0.4140	10.5	3.4	0.5	2.7
	AR										0.4731	0.4004	0.4610	0.4041	0.4661	0.4104	7.7	2.2	1.8	2.2
	GW										0.4690	0.4070	0.4588	0.4042	0.4394	0.3965	7.3	2.3	0.8	1.8
32	GF	54	0.5561	0.3999	55	0.5649	0.3962	22	0.5428	0.3776	0.5554	0.3813	0.5533	0.3936	0.5523	0.3943	2.1	1.9	2.2	2.3
	AR										0.5554	0.3724	*	*	0.5535	0.3935	2.4	*	*	*
	GW										0.5179	0.3740	*	*	0.5506	0.3934	1.7	*	*	*
33	GF	45	0.2670	0.4240	56	0.2800	0.4195	23	0.2670	0.4240	0.2725	0.4034	0.2690	0.3777	0.2662	0.3990	5.1	1.3	2.0	1.6
	AR										0.2734	0.3985	0.2649	0.3926	0.2689	0.3870	6.4	1.8	1.8	1.2
	GW										0.2791	0.4024	0.2753	0.4041	0.2688	0.3944	4.8	2.0	0.7	2.5
34	GF	46	0.3753	0.3867	57	0.3861	0.3830	24	0.3753	0.3867	0.3616	0.3700	0.3718	0.3692	0.3645	0.3643	5.5	1.7	2.6	1.7
	AR										0.3686	0.3711	0.3673	0.3688	0.3700	0.3694	5.0	2.3	0.3	0.4
	GW										0.3644	0.3687	0.3704	0.3716	0.3605	0.3680	2.5	1.5	0.7	0.5
35	GF	58	0.5321	0.3115	59	0.5138	0.2974	25	0.5242	0.3140	0.5115	0.2993	*	*	0.4791	0.3175	6.6	*	*	*
	AR										0.4978	0.2945	*	*	0.5041	0.3109	4.7	*	*	*
	GW										0.4962	0.3063	0.4963	0.3093	0.4994	0.3096	4.0	1.8	0.5	0.6
36	GF	61	0.2848	0.3665	60	0.2699	0.3481	26	0.2730	0.3701	0.2705	0.3622	0.2704	0.3672	0.2711	0.3662	6.1	1.7	1.0	0.7
	AR										0.2768	0.3677	0.2711	0.3675	0.2742	0.3751	6.7	2.1	1.3	1.7
	GW										…	…	…	…	…	…	…	…	…	…
37	GF	62	0.4735	0.3096	63	0.4563	0.2954	27	0.4650	0.3122	0.4502	0.3037	0.4411	0.3080	0.4348	0.3149	6.6	2.1	1.4	2.9
	AR										0.4476	0.2945	*	*	0.4499	0.3102	5.1	*	*	*
	GW										0.4497	0.3074	0.4455	0.3110	0.4443	0.3062	4.0	1.3	0.8	0.6
38	GF	64	0.4146	0.2885	65	0.3991	0.2751	28	0.4058	0.2909	0.3955	0.2818	*	*	0.3881	0.2865	6.3	*	*	*
	AR										0.3916	0.2720	*	*	0.4016	0.2878	3.7	*	*	*
	GW										0.3962	0.2830	*	*	0.3994	0.2911	4.0	*	*	*

Pair No.	Ellipse	GF					AR					GW
Pair No.	Ellipse	θ (deg)	a (·10³)	b (·10³)	a/b	log₁₀A	θ (deg)	a (·10³)	b (·10³)	a/b	log₁₀A	θ (deg)	a (·10³)	b (·10³)	a/b	log₁₀A
1	cm	34	5.0	2.9	1.71	−4.331	28	7.5	2.7	2.80	−4.194	35	6.5	2.2	2.99	−4.356
	cdm	25	19.1	8.2	2.32	−3.307	52	10.3	6.2	1.67	−3.697	12	14.0	3.4	4.07	−3.824
	(cdm)′	32			2.83		28			2.69		35			1.97
2	cm	39	7.2	2.2	3.22	−4.291	52	6.1	2.9	2.10	−4.251	48	4.9	1.8	2.74	−4.557
	cdm	51	19.6	6.0	3.25	−3.430	46	16.3	6.8	2.41	−3.460	47	12.4	4.9	2.52	−3.715
	(cdm)′	55			3.96		45			3.54		53			3.20
3	cm	177	7.5	1.7	4.35	−4.394	31	4.2	1.6	2.55	−4.668	179	8.2	2.3	3.57	−4.231
	cdm	168	14.6	3.8	3.79	−3.756	12	9.8	4.5	2.20	−3.861	165	9.5	4.2	2.24	−3.896
	(cdm)′	14			1.90		14			2.32		159			1.33
4	cm	65	3.2	1.9	1.73	−4.726	67	3.6	1.7	2.16	−4.721	63	3.3	1.9	1.76	−4.718
	cdm	66	10.8	5.4	1.99	−3.735	51	11.3	5.1	2.24	−3.745	71	7.8	5.1	1.54	−3.904
	(cdm)′	48			3.90		53			2.34		68			3.36
5	cm	53	8.8	3.0	2.87	−4.075	49	6.6	2.8	2.32	−4.232	50	6.0	2.8	2.17	−4.280
	cdm	47	16.9	5.4	3.14	−3.542	67	16.9	5.6	3.04	−3.529	60	8.0	4.8	1.67	−3.916
	(cdm)′	41			2.20		52			3.19		48			2.37
6	cm	177	4.6	1.9	2.46	−4.572	27	2.9	2.1	1.38	−4.711	5	3.9	2.4	1.59	−4.533
	cdm	166	6.5	2.6	2.49	−4.275	16	7.1	3.3	2.13	−4.126	168	6.9	2.6	2.64	−4.247
	(cdm)′	3			2.28		25			2.42		4			3.35
7	cm	21	3.8	2.1	1.81	−4.604	32	4.8	2.0	2.37	−4.509	34	4.2	1.7	2.50	−4.661
	cdm	30	8.9	6.1	1.47	−3.771	45	9.4	4.8	1.93	−3.847	20	6.7	3.4	2.00	−4.147
	(cdm)′	51			2.25		33			2.13		38			2.60
8	cm	34	3.5	2.1	1.70	−4.643	60	3.7	1.9	1.90	−4.648	59	3.2	2.0	1.57	−4.700
	cdm	50	7.0	6.2	1.13	−3.862	59	10.0	4.6	2.17	−3.835	56	7.2	5.0	1.43	−3.946
	(cdm)′	61			2.16		52			3.18		61			3.38
9	cm	55	4.5	2.1	2.13	−4.525	42	3.0	1.6	1.91	−4.824	54	5.0	1.9	2.59	−4.526
	cdm	*	*	*	*	*	36	9.1	3.2	2.88	−4.047	44	8.3	3.4	2.48	−4.057
	(cdm)′	47			5.00		44			2.34		48			3.89
10	cm	55	4.5	2.1	2.13	−4.525	42	3.0	1.6	1.91	−4.824	54	5.0	1.9	2.59	−4.526
	cdm	18	9.3	3.0	3.12	−4.056	29	5.3	2.1	2.52	−4.460	50	9.0	5.7	1.57	−3.791
	(cdm)′	135			1.35		20			1.63		69			2.01
11	cm	55	4.5	2.1	2.13	−4.525	42	3.0	1.6	1.91	−4.824	54	5.0	1.9	2.59	−4.526
	cdm	*	*	*	*	*	39	10.4	3.5	3.01	−3.947	49	10.3	3.9	2.65	−3.900
	(cdm)′	43			2.63		48			3.50		50			3.15
12	cm	41	3.3	1.5	2.17	−4.813	68	3.8	1.2	3.10	−4.829	65	3.7	1.0	3.80	−4.938
	cdm	55	7.5	4.5	1.69	−3.977	51	8.4	2.6	3.26	−4.166	66	11.2	3.6	3.12	−3.900
	(cdm)′	65			2.19		65			3.04		64			3.60
13	cm	38	3.2	2.1	1.54	−4.668	66	4.0	2.2	1.85	−4.556	73	4.4	2.4	1.79	−4.476
	cdm	75	7.9	6.2	1.27	−3.813	77	6.8	3.8	1.80	−4.093	69	8.1	4.3	1.88	−3.960
	(cdm)′	60			1.60		81			2.53		86			1.68
14	cm	176	8.9	2.9	3.04	−4.085	1	4.9	2.4	2.02	−4.427	179	10.0	2.8	3.63	−4.061
	cdm	166	13.4	4.5	2.94	−3.721	176	6.5	2.9	2.21	−4.220	175	13.1	3.6	3.69	−3.836
	(cdm)′	7			1.75		16			1.44		29			2.73
15	cm	176	8.9	2.9	3.04	−4.085	1	4.9	2.4	2.02	−4.427	179	10.0	2.8	3.63	−4.061
	cdm	167	11.1	4.8	2.34	−3.779	174	10.4	4.6	2.26	−3.820	171	10.7	4.2	2.56	−3.856
	(cdm)′	16			1.90		13			1.58		5			1.43
16	cm	176	8.9	2.9	3.04	−4.085	1	4.9	2.4	2.02	−4.427	179	10.0	2.8	3.63	−4.061
	cdm	169	14.1	5.8	2.42	−3.588	169	8.4	3.6	2.36	−4.025	179	13.0	7.8	1.67	−3.497
	(cdm)′	4			1.41		20			1.81		8			2.43
17	cm	68	7.6	2.4	3.12	−4.239	70	5.2	1.7	3.16	−4.562	72	6.9	2.3	2.97	−4.301
	cdm	63	8.7	4.3	2.02	−3.927	61	13.2	4.6	2.88	−3.720	78	7.8	4.0	1.98	−4.014
	(cdm)′	64			3.56		66			3.09		64			2.47
18	cm	68	7.6	2.4	3.12	−4.239	70	5.2	1.7	3.16	−4.562	72	6.9	2.3	2.97	−4.301
	cdm	59	15.0	4.9	3.06	−3.635	*	*	*	*	*	59	11.1	5.1	2.17	−3.747
	(cdm)′	56			5.03		53			8.44		65			4.47
19	cm	68	7.6	2.4	3.12	−4.239	70	5.2	1.7	3.16	−4.562	72	6.9	2.3	2.97	−4.301
	cdm	74	11.0	5.1	2.17	−3.759	70	8.4	3.8	2.22	−4.005	73	10.4	6.5	1.59	−3.671
	(cdm)′	68			1.90		73			1.56		58			2.47
20	cm	62	4.7	1.4	3.24	−4.672	62	4.1	1.6	2.49	−4.678	70	3.9	1.2	3.21	−4.824
	cdm	49	6.0	3.4	1.77	−4.189	62	10.4	4.4	2.38	−3.848	65	8.3	4.3	1.82	−3.928
	(cdm)′	60			3.70		70			1.79		69			1.71
21	cm	62	4.7	1.4	3.24	−4.672	62	4.1	1.6	2.49	−4.678	70	3.9	1.2	3.21	−4.824
	cdm	57	4.2	2.3	1.86	−4.529	76	10.7	3.3	3.19	−3.951	82	8.6	4.0	2.17	−3.966
	(cdm)′	68			3.20		63			4.02		67			2.66
22	cm	62	4.7	1.4	3.24	−4.672	62	4.1	1.6	2.49	−4.678	70	3.9	1.2	3.21	−4.824
	cdm	37	4.4	2.0	2.20	−4.555	48	9.6	2.7	3.57	−4.094	76	7.0	3.1	2.23	−4.164
	(cdm)′	45			1.59		42			1.84		70			2.76
23	cm	59	3.3	1.7	1.96	−4.762	64	2.7	1.4	1.86	−4.920	60	3.3	1.4	2.42	−4.861
	cdm	50	13.5	5.4	2.49	−3.638	49	5.8	3.0	1.91	−4.255	72	6.7	4.2	1.59	−4.041
	(cdm)′	42			2.67		38			3.55		55			2.34
24	cm	81	2.2	1.5	1.48	−4.991	62	2.6	1.6	1.67	−4.886	50	3.2	1.4	2.34	−4.855
	cdm	53	7.6	2.5	3.00	−4.219	44	5.4	2.4	2.19	−4.384	47	5.9	3.0	1.97	−4.257
	(cdm)′	51			4.70		57			2.37		45			3.22
25	cm	67	2.4	1.7	1.44	−4.897	66	3.1	1.7	1.82	−4.779	57	4.0	1.6	2.56	−4.699
	cdm	65	11.6	4.8	2.43	−3.760	59	6.8	3.3	2.05	−4.150	65	9.1	3.0	3.05	−4.074
	(cdm)′	67			1.96		60			2.81		62			1.96
26	cm	59	3.3	1.7	1.96	−4.762	64	2.7	1.4	1.86	−4.920	60	3.3	1.4	2.42	−4.861
	cdm	66	9.8	4.2	2.33	−3.890	44	6.6	3.1	2.14	−4.198	59	13.2	4.8	2.73	−3.699
	(cdm)′	58			4.24		55			2.15		52			4.44
27	cm	81	2.2	1.5	1.48	−4.991	62	2.6	1.6	1.67	−4.886	50	3.2	1.4	2.34	−4.855
	cdm	61	14.1	7.0	2.02	−3.510	42	4.2	1.9	2.18	−4.600	51	6.3	3.4	1.87	−4.173
	(cdm)′	55			3.25		33			1.81		58			3.17
28	cm	67	2.4	1.7	1.44	−4.897	66	3.1	1.7	1.82	−4.779	57	4.0	1.6	2.56	−4.699
	cdm	60	12.4	7.3	1.69	−3.545	54	7.0	2.9	2.38	−4.196	51	5.3	3.1	1.70	−4.283
	(cdm)′	53			2.56		53			2.02		50			1.51
29	cm	73	9.3	3.7	2.49	−3.965	80	7.4	2.2	3.38	−4.288	76	14.0	3.1	4.52	−3.866
	cdm	80	15.3	7.6	2.01	−3.438	67	16.0	7.2	2.23	−3.445	78	25.2	7.1	3.57	−3.252
	(cdm)′	55			1.59		69			2.31		72			4.00
30	cm	75	6.9	1.9	3.58	−4.374	90	6.6	2.1	3.20	−4.369	77	8.6	1.8	4.71	−4.302
	cdm	81	8.9	3.8	2.38	−3.979	88	11.5	4.8	2.41	−3.761	74	11.4	3.9	2.92	−3.858
	(cdm)′	69			2.94		62			2.63		75			2.68
31	cm	6	4.4	2.3	1.90	−4.488	27	4.6	2.7	1.68	−4.407	21	9.0	2.7	3.36	−4.119
	cdm	34	14.9	5.2	2.85	−3.611	28	12.6	5.5	2.29	−3.663	25	13.8	6.0	2.31	−3.586
	(cdm)′	30			2.56		47			3.19		36			2.00
32	cm	2	5.9	2.7	2.23	−4.305	4	4.8	2.6	1.85	−4.398	8	8.4	3.7	2.30	−4.014
	cdm	5	11.0	5.7	1.94	−3.707	*	*	*	*	*	*	*	*	*	*
	(cdm)′	75			2.12		80			3.23		29			7.49
33	cm	72	5.6	2.7	2.05	−4.326	84	6.4	2.1	3.05	−4.367	82	6.8	2.8	2.41	−4.220
	cdm	85	13.5	3.5	3.82	−3.826	74	10.3	3.9	2.54	−3.910	109	9.1	5.0	1.83	−3.849
	(cdm)′	97			1.67		96			2.12		117			2.36
34	cm	50	5.4	2.0	2.75	−4.477	51	4.3	2.2	1.96	−4.535	36	6.1	2.0	3.10	−4.429
	cdm	56	6.6	3.5	1.87	−4.142	45	11.4	4.9	2.33	−3.753	44	11.4	6.1	1.87	−3.665
	(cdm)′	83			3.07		41			2.10		40			2.69
35	cm	169	8.0	2.7	2.90	−4.165	11	5.9	3.3	1.79	−4.210	8	7.8	3.7	2.10	−4.042
	cdm	*	*	*	*	*	*	*	*	*	*	5	15.9	6.6	2.41	−3.482
	(cdm)′	34			9.71		27			7.47		10			2.79
36	cm	56	3.9	2.0	1.94	−4.608	72	4.3	2.0	2.16	−4.575	…	…	…	…	…
	cdm	58	6.6	3.6	1.83	−4.125	59	7.3	3.8	1.92	−4.054	…	…	…	…	…
	(cdm)′	50			2.45		58			3.36		…	…	…	…	…
37	cm	169	5.7	2.8	2.03	−4.293	18	4.8	3.1	1.57	−4.335	14	7.3	3.4	2.15	−4.111
	cdm	5	10.2	4.9	2.11	−3.807	*	*	*	*	*	3	9.5	5.8	1.64	−3.761
	(cdm)′	25			2.58		32			7.65		19			1.89
38	cm	9	4.4	2.2	1.98	−4.617	39	5.5	2.6	2.14	−4.348	40	5.1	3.5	1.46	−4.255
	cdm	*	*	*	*	*	*	*	*	*	*	*	*	*	*	*
	(cdm)′	30			3.03		37			14.00		30			2.70

Abstract

Cited By

Figures (9)

Tables (2)

Equations (9)

Journal of the Optical Society of America