- . .
. 25.2 ( . 25.3) , . - , .
, , .
1. , . V. :
nv = (a1 + a2 + a3)i + (b1 + b2 + b3)j + (c1 + c2 + c3)k
P0: z - 1 = 0;
P1: -y + z - 2 = 0;
P2: -x + z - 2 = 0.
nv = -i - j + 3k - n ( ).
|n| = ((-1)2 + (-1)2 + 32)0.5 = 110.5 - .
= nv / |n| = -0.3i - 0.3j + 0.9k - () .
2. . A, B C. . , , . (A, B C), .
Q :
nQ = U * nA + (1 - U) * nB; 0 <= U <= 1; U = AQ/AB.
R B C:
nR = Δ * nB + (1 - Δ) * nC; Δ = BR/BC.
P Q R:
nP = t * nQ + (1 - t) * nR; 0 <= t <= 1; t = QP/QR.
, . : , , .
λ (. 26.1).
(. 26.2).
RGB (, , - ) - (. 26.3), ( , ). " ", , .
RGB , : + = , + = ... , , , , + = . : < > + < > = ( : - < > = < >).
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CMY (, , ) - , . .
: - , - , - . . , , , , , , . . RGB-, : < > + < > = .
, , (. 26.5).
: (r, g, b); r, g b , .
(r, g, b) , :
, (. 26.7). r' = r/(r + g + b), g' = g/(r + g + b), b' = b/(r + g + b), r', g', b' - RGB. , r' + g' + b' = 1 b' = 1 - r' - g'; , XY, b' ().
. 26.8 ( - ), , , , (100% ). , .
x y , (. ). D - . . 0% , . /( + b), - , b - .
, .
: c1(x1, y1, Y1) c2(x2, y2, Y2), x1, y1 - , x2, y2 - , Y1, Y2 - . c1 c2 c12(x12, y12, Y12). :
x12 = (x1 * Y1/y1 + x2 * Y2/y2)/(Y1/y1 + Y2/y2),
y12 = (y1 * Y1/y1 + y2 * Y2/y2)/(Y1/y1 + Y2/y2),
Y12 = Y1 + Y2.
: c1(0.1, 0.3, 10), c2(0.35, 0.2, 10) c3(0.2, 0.5, 10) (. 26.9).
c1 c2: x12, y12, Y12 - c12(0.25, 0.24, 20). c12 c3 c123(0.24, 0.29, 30).
. 26.10 (, . .). , () .
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