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Sensory Information Processing. Color space Perception and reproduction of color. Light and Color. Light : physical Light is a electromagnetic wave Physically, there is no concept of “color” (distribution with respect to the wavelength ) color : psychological
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Sensory InformationProcessing Color space Perception and reproduction of color
Light and Color • Light : physical • Light is a electromagnetic wave • Physically, there is no concept of “color”(distribution with respect to the wavelength) • color:psychological • One aspect of perception of the light • Relative intensity of three ranges of wavelength To learn about color, we must learn about human
eyeball • diameter 24mm • Flexible lens (crystalline) • Iris = aperture • Focal length = 17mm • Retina : film or CCD Fovea
Fovea • Center of the image • Highest resolution
Retina • Two types of photo receptor • Rod : monochromatic, high response, work in dark environment • Cone : three types (L, M, S) : colorlow response, work only at bright environment
Spectral sensitivity of cones measured neurophysiology
How to identify the color perception? How to measure the relationships between wavelength and color perception • Measuring signals of neurons • Not easy • Perception is not directly related to signal • Subjective tests • Comparing very single spectral light with additive color mixture • Ambiguity of coordinate transform remains
Negative response Color matching experiment(1) • Adjust the levels of R, G, B so as to match to monochromatic light • R : 700nmG : 546.1nmB : 435.8nm
Color matching(2) • Negative value means the light at opposite side All in positive ith negative values
Why we have “negative values”? • No negative response at our retina Actual spectral response(unknown) sensitivity M(λ) S(λ) S=∫S(λ)・i(λ)dλ L(λ) wavelength × Sample stimulus L intensity i(λ) λ change M wavelength Smooth curve in positive region
B R G Why we have “negative values”? S i=B • R>0, G=B=0 when i = 700nm(R) • RGB space is smaller than the original space with our actual sensitivity. Therefore, between the wavelength of B and G, R should be negative i=G L i=R i λ M
S B B r g L R R G M G rg chromaticity coordinate i=B • rg : chromaticity : Relative values of RGB r = R/(R+G+B), g = G/(R+G+B) Single wavelength passes three points(r,g)=(0,0), (0,1), (1,0) Linear trransform i=G i=R λ
rg chromaticity and RGB color matching curve • All three values have negative regions
XYZ color space • To avoid the negative values of RGB color space New coordinate system which includes the spectral curve in positive areaThree points, X, Y, Z, is outside of spectral curve, so, it does not physically exist called as”imaginary color”
XYZ color matching function CIE1931 XYZ color matching function
xy chromaticity • Relative value of XYZ • x = X/(X+Y+Z),y = Y/(X+Y+Z) • Black curve : black body radiation (related to the color temperature)
White light source xy chromaticity and brightness • Reflectance is limited to 1.0 or below • White is brightest • Intensity of the boundary of spectral curve is 0 • Called MacAdam limit intensity Object with various color
Color reproduction and gamut(1) • Range of additive color is limited in the triangle which verteces are primal colors • Called gamut • left figure indicates the range of RGB tristimulus
Display and color reproduction • Range of the color depends on the primal colors • “RGB” of PC is not CIE RGB • Wrong use of color space causes the color mismatch s
examples • Color space of digital camera • Adobe Photoshop • Apple ColorSync • Display
Printing and color • Printing is subtractive color (CMY) • Inside the convex hull which defined by 6 points of C, M, Y, CM,CY, MY • RGB and CMY have different gamut
print cyan green black blue magenta red yerrow white • Convex hull of 6 primal colors yellow=R+G yellow=R+G magenta=R+B cyan=G+B White material (paper) ・spectral reflectance of green ≒ yellow ・ cyan →spectral reflectance of green is linearly independentfrom yellow and cyan ・represented by halftone dot →mixture of 8 colors above Halftone dot
Color space matched for perception • HSB color space • Polar coordinate • HSB (Hue, Saturation, Brightness) • xy color space • Perceptually not uniform • MacAdam ellipse
L*a*b* color space • Perceptually uniform color space by nonlinear transform
Metamerism • Visually same color but different spectral curve • Depends on not only the object but also the light source × Perception R Object 1 Light 1 same `erception R Perception G same `erception G Perception B same × Light 2 Object 2 Perception B
Spectral sensitivity and evaluation of color • If the spectral sensitivity of the sensor is different from the human beings, color matching fails • If the spectral curve of light source is special, color matching fails (object with different colors seems same) • (fluorescent light is not good as light bulb)
Psychology vs. Physics • Psychology • System which works as same as human • Color quality control • physical • Color marker (distinguish objects with color) • Recognition of material using color • Marginal • QC of papers using color (visual, or other?) • QC of agricultural products