14 CRT Color Constancy in the Conditions of Dierent Cone Adaptation in a CRT Display 1030281 2003 2 12
CRT [1] CRT. CRT von Kries PC CRT CRT 9300K CRT 6500K CRT CRT 9300K x y S L-2M x y von Kries S L-2M [2] { i {
von Kries { ii {
Abstract Color Constancy in the Conditions of Dierent Cone Adaptation in a CRT Display Saori TANIGUCHI In a previous research[1], color constancy was veried when picture of on two CRT displays with two dierent color temperatures as the presentation methods were compared. As the result, there were color constancy only with dierence of color temperature of CRT, and the result was able to explain by von Kries type cone adaptation model. However, it is not clear whether the eect of cone adaptation contribute to color constancy on stimulus conditions without lighting space. Then, the experiment was conducted for a purpose that investigate how the strength of color constancy changed on the experiment conditions considered that cone adaptation levels dier. Two CRT displays connected to one set of PC in a darkroom. Left CRT was set as 9300K and right CRTwas set as 6500K (standard), and the same picture was displayed. Arbitrary standard colors are made from articial operation on color matching paper in a picture. Until color matching paper of left CRT thinks that it became paper similarly to color matching paper of right CRT(standard color), the color of left color matching paper(on 9300K) adjusted by hue, saturation, and brightness. The constant color constancy was seen, when I plotted results of three subjects on the x,y chromaticity coordinates and considered. Then I calculated the amount of cone responses on the basis of S,L-2M cone, and replotted. The results were the same as the rst plotting data. Still more, the results were able to explain by von Kries type cone { iii {
adaptation model that showed cone adaptation. But, I became clear that strength of color constancy disagree with cone adaptation levels when calculated by S,L-2M cone and considered. key words color constancy, cone adaptaion, von Kries { iv {
1 1 1.1...................................... 1 1.2................................ 2 1.3.............................. 3 1.4................................ 4 1.4.1................................ 4 1.4.2............................ 6 1.5................................... 6 1.5.1 [1].............................. 6 1.5.2............................. 7 2 8 2.1................................... 8 2.2................................... 9 2.3.................................... 10 2.4...................................... 10 2.5................................... 11 3 13 3.1.......................... 14 3.2 Haploscopic...................... 15 3.3................ 16 4 17 4.1.................................... 17 { v {
4.1.1............................. 17 4.1.2...................... 19 4.1.3 Haploscopic................... 20 4.1.4............. 21 4.1.5............................ 21 4.2 - von Kries.......................... 23 4.3 S.............................. 25 4.3.1...................... 25 4.3.2 Haploscopic................... 26 4.3.3............. 27 4.3.4........................... 28 4.4 L-2M........................... 29 4.4.1...................... 29 4.4.2 Haploscopic..................... 30 4.4.3............. 31 4.4.4........................... 32 4.5................................ 33 4.5.1......................... 33 4.5.2. 33 L M S............................. 33 S........................... 33 L-2M......................... 34.................... 34 5 36 37 { vi {
38 A 39 A.1.................................. 39 A.2 D-15.............................. 39 { vii {
1.1................................ 2 1.2................................. 3 1.3............................ 5 2.1................................ 9 2.2.................................... 11 3.1 S.T( ) C.M( ) K.H( )............... 14 3.2 S.T( ) C.M( ) K.H( )............... 15 3.3 S.T( ) C.M( ) K.H( )............... 16 4.1 S.T( ) C.M( ) K.H( )............... 19 4.2 S.T( ) C.M( ) K.H( )............... 20 4.3 S.T( ) C.M( ) K.H( )............... 21 4.4 S.T( ) C.M( ) K.H( ).......... 25 4.5 S.T( ) C.M( ) K.H( ).......... 26 4.6 S.T( ) C.M( ) K.H( )......... 27 4.7 ( ) ( ) ( )................ 28 4.8 S.T( ) C.M( ) K.H( )......... 29 4.9 S.T( ) C.M( ) K.H( )......... 30 4.10 S.T( ) C.M( ) K.H( )......... 31 4.11 ( ) ( ) ( )................ 32 { viii {
1 1.1 [1] CRT CRT 9300K ( ) 6500K { 1 {
1.2 1.2 L- M- S- 1.1 (L- M- ) r-g (L- M- ) y-b (L- M- S- ) 1.1 Visual cortex (V1) Chromatic channel Achromatic channel y/b r/g Lu + - + - + + + S cone M cone L cone 1.1 V1 { 2 {
1.3 1.3 1.2 1.2 19 von Helmholtz { 3 {
1.4 1.4 ( 28 5 1999) 1.4.1 ( ) CIE( ) (C D ) D 65 ( 6500K) { 4 {
1.4 / / / / Arend ( ) CRT CRT 1.3 { 5 {
1.5 1.4.2 Arend Reeves CRT 6500K ( ) 4000K 10000K ( ) apparent Match paper match apparent match paper match Brunswik ratio constancy index u 0 v 0 [3] 1.5 1.5.1 [1] { 6 {
1.5 CRT Haploscopic CRT RGB (K Red, K Green, K Blue ) RGB (Paper Match) von Kries Matching 1.5.2 9300K CRT 6500K CRT paper Match { 7 {
2 2.1 [1] CRT von Kries [3] 3 ( ) CRT Haploscopic 2 CRT CRT CRT { 8 {
2.2 CRT 10 1 1 2.2 180cm 240cm 180cm( ) PC CRT 2 2.1 2 CRT 240cm Observer 60cm CRT Experimenter PC 180cm 2.1 60cm CRT { 9 {
2.3 3 2.3 3 S.T C.M K.H 22 22 22 C.M K.H A 2.4 334 XV-3 (CASIO) 14 2.2 Adobe Illustrator PC 2 CRT CRT RD17GX ( ) RD17V( ) 2 CRT 6500K 9300K { 10 {
2.5 2.2 2 CRT CS- 1000(MINOLTA) 6500K CRT (x,y) = (0.315, 0.328) ( 176cd/m 2 ) 9300K CRT (x,y) = (0.237, 0.295) ( 173cd/m 2 ) F77 (SURUGA SEIKI) PC 2.5 2 CRT 6500K CRT Illustrator 70 90 10 330 20 18 0 18 { 11 {
2.5 paper match 9300K CRT (paper match) CRT HSB( - - ) 1 3 3 { 12 {
3 Lv( ) x x, y, L X Y Z 8 >< >: X 1 = x 1 2x + L 1 y 1 L 1 Y 1 = y 1 y 1 Z 1 =(1; x 1 ; y 1 0 1 0 1 B @ x 1 y 1 L 1 x 2 y 2 L 2 C A! B @ X 1 Y 1 Z 1 X 2 Y 2 Z 2 C A x 3 y 3 L 3 X 3 Y 3 Z 3 X Y Z 8 >< >: X AV E = X 1 + X 2 + X 3 3 Y AV E = L 1 + L 2 + L 3 3 Z AV E = Z 1 + Z 2 + Z 3 3 X AV E Y AV E Z AV E AV E AV E L AV E 8 X AV E AV E = >< X AV E + Y AV E + Z AV E Y AV E AV E = X AV E + Y AV E + Z AV E >: L AV E = Y AV E { 13 {
3.1 3.1 3.1. 3.1 S.T( ) C.M( ) K.H( ) 6500K 9300K { 14 {
3.2 Haploscopic 3.2 Haploscopic Haploscopic 3.2. 3.2 S.T( ) C.M( ) K.H( ) CRT 6500K CRT 9300K 6300K CRT 9300K CRT Haploscopic CRT CRT CRT { 15 {
3.3 3.3 3.3. 3.3 S.T( ) C.M( ) K.H( ) 3.1 3.2 { 16 {
4 4.1 18 L( ) x (6500K 9500K ) L,M,S L-2M S x 4.1.1 [4] L M S (l() m() s()) R G B (l R l G l B m R m G m B s R s G s B ) (r() g() b()) (4.1) 0 B @ l() m() s() 1 0 C A = B @ l R l G l B m R m G m B s R s G s B 1 0 C B A @ r() g() b() 1 C A (4.1) (4.2) 0 1 0 1 0 1 l() 0:15514 0:54312 ;0:03286 r() B @ m() C A = B @ ;0:15514 0:45684 0:03286 C B A @ g() C A s() 0 0 1 b() (4.2) { 17 {
4.1 (4.1) (4.2) L M S 0 B @ X = x y Y Y = Y Z = 1 ; x ; y Y y 1 C A (4.3) 8 >< >: L = 1 b + d (a x y + b ; c 1 ; x ; y )Y y M = 1 b + d (;a x y + d ; c 1 ; x ; y y S = 1 ; x ; y Y y )Y 8 >< >: a =0:15514 b =0:54312 c =0:03286 d =0:45684 (4.4) S L-2M { 18 {
4.1 4.1.2 S, L-2M 4.1 4.1 S.T( ) C.M( ) K.H( ) 6500K CRT 9300K CRT RGB { 19 {
4.1 4.1.3 Haploscopic Haploscopic S, L-2M 4.2 4.2 S.T( ) C.M( ) K.H( ) 6500K CRT 9300K CRT RGB { 20 {
4.1 4.1.4 S, L-2M 4.3 4.3 S.T( ) C.M( ) K.H( ) 6500K CRT 9300K CRT RGB 4.1.5 S vs L-2M x 9300K CRT { 21 {
4.1 4.2 4.3 4.1 { 22 {
4.2 - von Kries 4.2 - von Kries von Kries (4.5) Ri 0 = k i R i (4.5) K i =1=R illum i i = L M S (4.6) (R illum i i (i = L M S) ) von Kries (4.6) (4.7) R 0 i 6500 = R i 6500=R illum i6500 (4.7) R 0 i 9300Matching = R i 9300Matching=R illum i9300 (4.8) Matching R 0 i 6500 = R0 i 9300Matching R i 9300Matching=R i 6500 = R illum i9300 = C 6500K S 1 (L ; 2M) 1 Paper Matching S 3 (L ; 2M) 3 (4.9) (4.10) S 3 =S 1 = C S (4.9) (L ; 2M) 3 =(L ; 2M) 1 = C (L;2M ) (4.10) { 23 {
4.2 - von Kries (4.11) (4.12) S 3 = C S S 1 + C S2 (4.11) (L ; 2M) 3 = C (L;2M ) (L ; 2M) 1 + C (L;2M )2 (4.12) C S2 C (L;2M )2 S 1 S 3, (L;2M) 1 (L;2M) 3 (4.11) (4.12) { 24 {
4.3 S 4.3 S 4.3.1 S 4.4 4.4 S.T( ) C.M( ) K.H( ) S.T S 3 =1:06 S 1 ; 0:02 C.M S 3 =1:16 S 1 ; 0:02 K.H S 3 =1:06 S 1 ; 0:02 { 25 {
4.3 S 4.3.2 Haploscopic Haploscopic S 4.5 4.5 S.T( ) C.M( ) K.H( ) S.T S 3 =1:18 S 1 ; 0:06 C.M S 3 =1:24 S 1 ; 0:04 K.H S 3 =1:44 S 1 ; 0:24 { 26 {
4.3 S 4.3.3 S 4.6 4.6 S.T( ) C.M( ) K.H( ) S.T S 3 =1:13 S 1 ; 0:03 C.M S 3 =1:30 S 1 ; 0:08 K.H S 3 =1:20 S 1 ; 0:04 { 27 {
4.3 S 4.3.4 RGB 6500K 4.7 4.7 ( ) ( ) ( ) { 28 {
4.4 L-2M 4.4 L-2M 4.4.1 L-2M 4.8 4.8 S.T( ) C.M( ) K.H( ) S.T (L ; 2M) 3 =0:95 (L ; 2M) 1 ; C.M (L ; 2M) 3 =0:95 (L =2M) 1 ; K.H (L ; 2M) 3 =0:96 (L ; 2M) 1 ; 0:01 0:02 0:01 { 29 {
4.4 L-2M 4.4.2 Haploscopic Haploscopic L-2M 4.9 4.9 S.T( ) C.M( ) K.H( ) S.T (L ; 2M) 3 =0:99 (L ; 2M) 1 ; C.M (L ; 2M) 3 =0:98 (L =2M) 1 ; K.H (L ; 2M) 3 =1:13 (L ; 2M) 1 ; 0:01 0:02 0:02 { 30 {
4.4 L-2M 4.4.3 L-2M 4.10 4.10 S.T( ) C.M( ) K.H( ) S.T (L ; 2M) 3 =0:99 (L ; 2M) 1 ; C.M (L ; 2M) 3 =1:03 (L =2M) 1 ; K.H (L ; 2M) 3 =0:99 (L ; 2M) 1 ; 0:02 0:02 0:02 { 31 {
4.4 L-2M 4.4.4 RGB 6500K 4.11 4.11 ( ) ( ) ( ) { 32 {
4.5 4.5 4.5.1 RGB 6500K 9300K, ( ) S L-2M ( ) 4.5.2 L M S L, M, S ( ) L, M, S long-, middle-, short- L ( ) S ( ) M L S S { 33 {
4.5 ( ) ( ) Haploscopic ( ) 9300 L-2M L-2M 9300K Haploscopic Haploscopic ( ) ( ( )) 9300K Haploscopic. Haploscopic S Haploscopic { 34 {
4.5 L-2M) Haploscopic von Kries S L-2M { 35 {
5 Haploscopic Haploscopic von Kries von Kreis { 36 {
{ 37 {
[1] CRT [VISION],Vol.14,No.1,pp.44,2002 [2] (1999)pp.232 241 [3] [4] { 38 {
A A.1 Plate D-15 100% A.2 D-15 1 (reference cap) 15 1 15 D-15 { 39 {
A.2 D-15 { 40 {