CN107464531A - Utilize LCD display backlight method for displaying image - Google Patents

Utilize LCD display backlight method for displaying image Download PDF

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CN107464531A
CN107464531A CN201710636530.9A CN201710636530A CN107464531A CN 107464531 A CN107464531 A CN 107464531A CN 201710636530 A CN201710636530 A CN 201710636530A CN 107464531 A CN107464531 A CN 107464531A
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CN107464531B (en
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雷志春
段绿茵
徐梦层
李昌禄
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天津大学
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    • GPHYSICS
    • G09EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09GARRANGEMENTS OR CIRCUITS FOR CONTROL OF INDICATING DEVICES USING STATIC MEANS TO PRESENT VARIABLE INFORMATION
    • G09G3/00Control arrangements or circuits, of interest only in connection with visual indicators other than cathode-ray tubes
    • G09G3/20Control arrangements or circuits, of interest only in connection with visual indicators other than cathode-ray tubes for presentation of an assembly of a number of characters, e.g. a page, by composing the assembly by combination of individual elements arranged in a matrix no fixed position being assigned to or needed to be assigned to the individual characters or partial characters
    • G09G3/34Control arrangements or circuits, of interest only in connection with visual indicators other than cathode-ray tubes for presentation of an assembly of a number of characters, e.g. a page, by composing the assembly by combination of individual elements arranged in a matrix no fixed position being assigned to or needed to be assigned to the individual characters or partial characters by control of light from an independent source
    • G09G3/3406Control of illumination source
    • G09G3/342Control of illumination source using several illumination sources separately controlled corresponding to different display panel areas, e.g. along one dimension such as lines
    • GPHYSICS
    • G02OPTICS
    • G02FDEVICES OR ARRANGEMENTS, THE OPTICAL OPERATION OF WHICH IS MODIFIED BY CHANGING THE OPTICAL PROPERTIES OF THE MEDIUM OF THE DEVICES OR ARRANGEMENTS FOR THE CONTROL OF THE INTENSITY, COLOUR, PHASE, POLARISATION OR DIRECTION OF LIGHT, e.g. SWITCHING, GATING, MODULATING OR DEMODULATING; TECHNIQUES OR PROCEDURES FOR THE OPERATION THEREOF; FREQUENCY-CHANGING; NON-LINEAR OPTICS; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating, or modulating; Non-linear optics
    • G02F1/01Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating, or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour 
    • G02F1/13Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating, or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour  based on liquid crystals, e.g. single liquid crystal display cells
    • G02F1/133Constructional arrangements; Operation of liquid crystal cells; Circuit arrangements
    • G02F1/1333Constructional arrangements; Manufacturing methods
    • G02F1/1335Structural association of cells with optical devices, e.g. polarisers or reflectors
    • G02F1/1336Illuminating devices
    • G02F1/133602Direct backlight
    • G02F1/133603Direct backlight with LEDs

Abstract

The present invention relates to gamut extension, image is shown, to utilize LCD display backlight method for displaying image, backlight is arranged according to white light and the alternate mode of jewel blue light, specifically, according to display sizes, its backlight is divided into some regions, each backlight area is white light LEDs and sapphire blue LED combination, then according to the difference of LCD front panel display images, dynamic adjusts the brightness of white light LEDs and jewel blue-ray LED in each backlight area, finally carries out liquid crystal compensation to the image for being shown to LCD.Present invention is mainly applied to image to show occasion.

Description

Utilize LCD display backlight method for displaying image

Technical field

The present invention relates to gamut extension, image is shown, specifically, relates to the use of LCD display backlight source images display side Method.

Background technology

1931, International Commission on Illumination CIE formulated the RGB systems of CIE 1931, it is specified that by 700nm red (Red), 546.1nm green (Green) and 435.8nm indigo plant (Blue) are used as three primary colors, and later CIE 1931-xy chromatic diagrams turn into description The most commonly used chart of Color Range.Due to history, the colour gamut very little of RGB three primary colors video system, is only capable of covering at present The 33.25% of visible color in lid nature.In order that display can show more abundant color, researcher enters to it Extensive research work is gone.Wherein mainly include these three aspects:(1) using the three primary colors of more saturation;(2) how former use is Color backlight expanded color gamut;(3) more primary colors panel expanded color gamuts are used.

(1) using the three primary colors of more saturation

International Telecommunication Union (ITU:International Telecommunication Union) propose Rec.BT.2020 standards [1] can show high density orange, bottle green, color gamut space is than tradition using more saturation three primary colors BT.709 color gamut space is broader, can show more abundant color.

Laser television is using three kinds of continuous lasers of red, green, blue (100% monochromatic light) as backlight, and color saturation is significantly Improve, its color domain coverage ratio may be up to more than the 90% of human eye gamut range in theory.

(2) extended using more primary colors backlights

More primary colors backlights have RGB LEDs backlights, i.e., using red light (Red LED), green light (Green LED), blue lamp (Blue LED) is used as backlight, and due to LEDs bandwidth relative narrowness, colour gamut is wide up to that can arrive 110%NTSC, expands so as to reach The purpose in color development domain.In addition, more primary colors backlight designs also use RGBY LEDs (i.e. red, green, blue and yellow) and RGBC LEDs The form [2] of (i.e. RGB blue or green), can expanded color gamut to a certain extent.

(3) more primary colors panel expanded color gamuts are used

More primary colors panel expanded color gamuts increase multiple optical filters in original three primary colors LCD, are extended with reaching The purpose of colour gamut.Japanese Seiko Epson Corporation uses four primaries LCDs (red, blue, yellowish green, and emerald Green optical filters), gamut range can be higher than 100%NTSC [3].Also some researchs use five primaries LCDs and six primary colors LCDs carrys out expanded color gamut.Wherein there are six primary color Liquid Crystal panels [4] [5] of Samsung and Mitsubishi research.

But for using for more primary colors backlight expanded color gamuts this methods, most researchers tend to using R, G, the LED of tri- kinds of colors of B is as backlight.Using RGB LEDs as backlight, although expansible colour gamut, with RGB LEDs is that the power consumption of backlight is higher than display of the tradition using white LEDs s as backlight, and color LED s luminous efficiencies are less than White LEDs s.While controlling three tunnel backlight signals, the complexity of corresponding backlight circuit and corresponding Backlight Algorithm is increased.

Based on keeping, brightness is constant while the purpose of expanded color gamut, this patent will use white light LEDs and sapphire blue LED conducts The backlight of LCD displays carries out gamut extension.As shown in figure 1, the wavelength of sapphire blue coloured light is in the wavelength of blue light and green glow Between, that is to say, that even if using RGB three primary colors optical filters, the transmission amount of one sapphire blue coloured light of four primaries light is very high, for Many narrow colour gamut liquid crystal panels, the transmission amount of sapphire blue coloured light are even up to 50%.

Bibliography

[1] Rec.ITU-R BT.2020, Parameter values for ultra-high definition television systems for production and international programme exchange.

[2] Yuma Sano, Ryosuke Nonaka, Masahiro Baba.Wide gamut LCD using Locally dimmable four-primary-color LED backlight.Journal of the SID, 2012.09.

[3] E.Chino, et al., " Invited Paper:Development of wide-Color-Gamut Mobile Displays with Four primary-color LCDs ", SID 06 Digest, pp.1221-1224.

[4] Y.-C.Yang, et al., " Development of six Primary-Color LCD ", SID 05 Digest, pp.1210-1213.

[5] H.Sugiura, et al., " Improved Six-primary-color 23-in.WXGA LCD using Six-color LEDs ", SID 05Digest, pp.1126-1129.

The content of the invention

For overcome the deficiencies in the prior art, the present invention is directed to propose using white light and sapphire blue backlighting scheme, coordinate phase The backlight dimming algorithm answered, reach the purpose of expanded color gamut.The technical solution adopted by the present invention is to utilize LCD display backlight Source images display methods, backlight are arranged according to white light and the alternate mode of jewel blue light, specifically, according to display chi It is very little, its backlight is divided into some regions, each backlight area is white light LEDs and sapphire blue LED combination, then basis The difference of LCD front panel display images, dynamically adjusts the brightness of white light LEDs and jewel blue-ray LED in each backlight area, finally Liquid crystal compensation is carried out to the image for being shown to LCD.

Specifically, subregion is carried out using maximum, average value or root mean square method;Secondly, according to the image after subregion The brightness value corresponding to each back light unit is determined, brightness value is assigned to back light unit by way of pulse width modulation (PWM), Liquid crystal compensation finally is carried out to display terminal image, display system front panel LCD and backlight panel coordinate jointly, reach comprehensive aobvious The effect shown.

Brightness value corresponding to each back light unit is determined using LED backlight algorithm, and carries out liquid crystal compensation, LED backlight Algorithm and liquid crystal compensation algorithm are as follows:

First, white light LEDs and sapphire blue LED backlight are modeled:

Wherein,

Wherein, BLwAnd BLeWhite light LEDs and sapphire blue LED brightness value in back light unit, (R are represented respectivelyd, Gd, Bd) table Show input picture RGB value, X, Y, Z refers to the tristimulus values of CIE-XYZ color spaces, Xrw, Yrw, ZrwRespectively white light is through red The tristimulus values of colo(u)r filter, Xgw, Ygw, ZgwThe tristimulus values of green color filter, X are passed through for white lightbw, Ybw, ZbwIt is respectively white Light passes through the tristimulus values of blue color filter;Xre, Yre, ZreRespectively jewel blue light passes through the tristimulus values of Red lightscreening plate, Xge, Yge, ZgeRespectively jewel blue light passes through the tristimulus values of green color filter, Xbe, Ybe, ZbeRespectively jewel blue light is through blue The tristimulus values of colo(u)r filter, ([X], [Y], [Z]) be CIE-XYZ color spaces under trichromatic unit amount, ([Rw], [Gw], [Bw]) it is trichromatic unit amount when backlight only has white light under RGB color;([Re], [Ge], [Be]) it is that backlight is only white Trichromatic unit amount in the case of light, (R, G, B) are liquid crystal compensation value;

Equation (1) is deformed into:

In order to determine BLwAnd BLeValue, if BLe:BLw=k:, there is following formula 1 (0≤k≤1):

Y=BLwYw+BLeYe=BLw(Yw+kYe) (5)

In equation (5), Y represents the brightness value of each backlight subarea.YwAnd YeRepresent white light LEDs in each backlight area With sapphire blue LED brightness;

In order to determine the k values in equation (5), need to be calculated by the colour gamut of display under novel backlight module, below to be true Determine the process of k values:

Due to the addition of sapphire LEDs in backlight so that the colour gamut of the display has very big extension, WrWgWbEgEbIt is the gamut range covered using the display of novel backlight module, the C (x, y) that sets up an office is a chromaticity coordinate Point, when C points are located at triangle WrWgWbWhen middle, now k=0;When C points are located at quadrangle WgEgEbWbWhen middle, according to colour mixture principle, When white backlight and sapphire backlight ratio k carry out mixed light, have:

(Xg, Yg, Zg) represent to pass through the tristimulus values of green color filter after jewel blue light and white light are with ratio k mixed lights, (Xb, Yb, Zb) represent to pass through the tristimulus values of green color filter after jewel blue light and white light are with ratio k mixed lights;

For line segment WgEgOn any point G (xg, yg) and line segment EbWbOn any point B (xb, yb), G and B two The chromaticity coordinate of point is represented by:

Wherein, Agw=Xgw+Ygw+Zgw, Age=Xge+Yge+Zge, Abw=Xbw+Ybw+Zbw, Abe=Xbe+ Ybe+Zbe;Then it is straight Line GB equation is represented by:

This linear equation is the expression formula on k, and k values can obtain if C (x, y) point coordinates determines, bring k values into formula (5), then BLwAnd BLeValue determine, then liquid crystal compensation value (R, G, B) can be obtained by formula (4).

The features of the present invention and beneficial effect are:

The present invention is using white light LEDs and sapphire blue LED as backlight, while brightness is kept, expanded color gamut.

Brief description of the drawings:

Fig. 1 liquid crystal display transmittances.

Fig. 2 backlight panels and LCD panel construction schematic diagram.

Fig. 3 systems show overall architecture.

Novel backlight display color gamut coverage under the chromatic diagrams of Fig. 4 CIE 1931.

Fig. 5 backlight panel design diagrams.

Embodiment

The present invention is using white light LEDs and sapphire blue LED as backlight, and it is according to white light and the alternate mode of jewel blue light Arranged, as shown in Figure 2.

According to display sizes, its backlight is divided into some regions, each backlight area is white light LEDs and sapphire blue LED combination.Then according to the difference of LCD front panel display images, white light LEDs and treasured in each backlight area are dynamically adjusted The brightness of stone blue-ray LED.Finally, due to backlight value employs new white light LEDs and sapphire blue LED, it is necessary to being shown to LCD The image of panel carries out liquid crystal compensation.

Specifically, subregion should be carried out to input picture first, number of partitions can use maximum according to depending on back light unit The methods of value, average value or root mean square, carries out subregion;Secondly, determined according to the image after subregion corresponding to each back light unit Brightness value, assign brightness value to back light unit by way of PWM (pulse width modulation), finally display terminal image entered Row liquid crystal compensation.Display system front panel LCD and backlight panel coordinate jointly, reach the effect of synthesis display.

LED backlight algorithm and liquid crystal compensation algorithm are as follows:

First, white light LEDs and sapphire blue LED backlight are modeled:

Wherein,

Wherein, BLwAnd BLeWhite light LEDs and sapphire blue LED shell angle value in a back light unit are represented respectively.(Rd, Gd, Bd) represent input picture RGB value.X, Y, Z refer to the tristimulus values of CIE-XYZ color spaces.Xrw, Yrw, ZrwRespectively white light is saturating Cross the tristimulus values of Red lightscreening plate, Xgw, Ygw, ZgwThe tristimulus values of green color filter, X are passed through for white lightbw, Ybw, ZbwRespectively The tristimulus values of blue color filter is passed through for white light;Xre, Yre, ZreRespectively jewel blue light passes through the tristimulus of Red lightscreening plate Value, Xge, Yge, ZgeRespectively jewel blue light passes through the tristimulus values of green color filter, Xbe, Ybe, ZbeRespectively jewel blue light is saturating Cross the tristimulus values of blue color filter.([X], [Y], [Z]) is trichromatic unit amount under CIE-XYZ color spaces.([Rw], [Gw], [Bw]) it is trichromatic unit amount when backlight only has white light under RGB color;([Re], [Ge], [Be]) it is backlight There is the trichromatic unit amount under white light conditions.(R, G, B) is liquid crystal compensation value.

Equation (1) can be deformed into:

In order to determine BLwAnd BLeValue, if BLe:BLw=k:, there is following formula 1 (0≤k≤1):

Y=BLwYw+BLeYe=BLw(Yw+kYe) (5)

In equation (5), Y represents the brightness value of each backlight subarea.YwAnd YeRepresent white light LEDs in each backlight area With sapphire blue LED brightness.

In order to determine the k values in equation (5), it need to calculate by the colour gamut of display under novel backlight module, will be situated between below Continue and how to determine k values.

Due to sapphire LED in backlightsAddition so that the colour gamut of the display has very big extension.Its colour gamut As shown in Fig. 4:

As shown in figure 4, WrWgWbEgEbThe gamut range to be covered using the display of novel backlight module.Set up an office C (x, y) is a colourity coordinate points, when C points are located at triangle WrWgWbWhen middle, now k=0;When C points are located at quadrangle WgEgEbWb When middle, according to colour mixture principle, when white backlight and sapphire backlight carry out mixed light with ratio k, have:

(Xg, Yg, Zg) represent to pass through the tristimulus values of green color filter after jewel blue light and white light are with ratio k mixed lights, (Xb, Yb, Zb) represent to pass through the tristimulus values of green color filter after jewel blue light and white light are with ratio k mixed lights.

For line segment WgEgOn any point G (xg, yg) and line segment EbWbOn any point B (xb, yb), G and B two The chromaticity coordinate of point is represented by:

Wherein, Agw=Xgw+Ygw+Zgw, Age=Xge+Yge+Zge, Abw=Xbw+Ybw+Zbw, Abe=Xbe+Ybe+Zbe

Then straight line GB equation is represented by:

This linear equation is the expression formula on k, if the determination of C (x, y) point coordinates (here, can be by trying to achieve each subregion The average value of image, obtain C (x, y) point coordinates according to colourity principle) then k values can obtain.Bring k values into formula (5), then BLw And BLeValue determine.Liquid crystal compensation value (R, G, B) can be obtained by formula (4) again.

As shown in figure 5, backlight panel design proposed by the present invention is by white LEDs and sapphire blue LED cross arrangements, white LEDs Can individually it be controlled with sapphire blue LED, according to the content of input picture, dynamic adjusts white LEDs and sapphire blue LED luminance Degree, the gamut range of expansible display so that image shows that color is more abundant.

The present invention proposes a kind of new backlight design scheme for expanded color gamut, i.e., backlight is white LEDs+sapphire blue LED cross arrangements.This backlight design scheme, can expanded color gamut, while also solve more primary colors backlights because lamp is more well Cause the problems such as backlight circuit is complicated, and Backlight Algorithm is complicated, and power consumption is big.

Claims (3)

1. one kind utilizes LCD display backlight method for displaying image, it is characterized in that, backlight is handed over according to white light and jewel blue light The mode replaced is arranged, and specifically, according to display sizes, its backlight is divided into some regions, each backlight area is equal For white light LEDs and sapphire blue LED combination, then according to the difference of LCD front panel display images, each backlight area is dynamically adjusted The brightness of white light LEDs and jewel blue-ray LED in domain, liquid crystal compensation finally is carried out to the image for being shown to LCD.
2. LCD display backlight method for displaying image is utilized as claimed in claim 1, it is characterized in that, specifically, using most Big value, average value or root mean square method carry out subregion;Secondly, determined according to the image after subregion corresponding to each back light unit Brightness value, assign brightness value to back light unit by way of pulse width modulation (PWM), finally to display terminal image carry out Liquid crystal compensation, display system front panel LCD and backlight panel coordinate jointly, reach the effect of synthesis display.
3. LCD display backlight method for displaying image is utilized as claimed in claim 1, it is characterized in that, calculated using LED backlight Method determines the brightness value corresponding to each back light unit, and carries out liquid crystal compensation, and LED backlight algorithm and liquid crystal compensation algorithm are such as Under:
First, white light LEDs and sapphire blue LED backlight are modeled:
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<mrow> <msub> <mi>E</mi> <mrow> <mi>o</mi> <mi>p</mi> </mrow> </msub> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>X</mi> <mrow> <mi>r</mi> <mi>e</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>Y</mi> <mrow> <mi>r</mi> <mi>e</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>Z</mi> <mrow> <mi>r</mi> <mi>e</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>X</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>Y</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>Z</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>X</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>Y</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>Z</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mo>&amp;lsqb;</mo> <mi>X</mi> <mo>&amp;rsqb;</mo> </mtd> </mtr> <mtr> <mtd> <mo>&amp;lsqb;</mo> <mi>Y</mi> <mo>&amp;rsqb;</mo> </mtd> </mtr> <mtr> <mtd> <mo>&amp;lsqb;</mo> <mi>Z</mi> <mo>&amp;rsqb;</mo> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mo>&amp;lsqb;</mo> <msub> <mi>R</mi> <mi>e</mi> </msub> <mo>&amp;rsqb;</mo> </mtd> </mtr> <mtr> <mtd> <mo>&amp;lsqb;</mo> <msub> <mi>G</mi> <mi>e</mi> </msub> <mo>&amp;rsqb;</mo> </mtd> </mtr> <mtr> <mtd> <mo>&amp;lsqb;</mo> <msub> <mi>B</mi> <mi>e</mi> </msub> <mo>&amp;rsqb;</mo> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
Wherein, BLwAnd BLeWhite light LEDs and sapphire blue LED brightness value in back light unit, (R are represented respectivelyd, Gd,
Bd) input picture RGB value, X, Y are represented, Z refers to the tristimulus values of CIE-XYZ color spaces, Xrw, Yrw, ZrwIt is respectively white Light passes through the tristimulus values of Red lightscreening plate, Xgw, Ygw, ZgwThe tristimulus values of green color filter, X are passed through for white lightbw, Ybw, Zbw Respectively white light passes through the tristimulus values of blue color filter;Xre, Yre, ZreRespectively jewel blue light passes through the three of Red lightscreening plate Values, Xge, Yge, ZgeRespectively jewel blue light passes through the tristimulus values of green color filter, Xbe, Ybe, ZbeIt is respectively sapphire blue Light passes through the tristimulus values of blue color filter, and ([X], [Y], [Z]) is trichromatic unit amount under CIE-XYZ color spaces, ([Rw], [Gw], [Bw]) it is trichromatic unit amount when backlight only has white light under RGB color;([Re], [Ge], [Be]) be Backlight only has the trichromatic unit amount under white light conditions, and (R, G, B) is liquid crystal compensation value;
Equation (1) is deformed into:
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mi>R</mi> </mtd> </mtr> <mtr> <mtd> <mi>G</mi> </mtd> </mtr> <mtr> <mtd> <mi>B</mi> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <msup> <mrow> <mo>&amp;lsqb;</mo> <mrow> <msub> <mi>BL</mi> <mi>w</mi> </msub> <mo>&amp;CenterDot;</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <mo>&amp;lsqb;</mo> <msub> <mi>R</mi> <mi>w</mi> </msub> <mo>&amp;rsqb;</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>&amp;lsqb;</mo> <msub> <mi>G</mi> <mi>w</mi> </msub> <mo>&amp;rsqb;</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>&amp;lsqb;</mo> <msub> <mi>B</mi> <mi>w</mi> </msub> <mo>&amp;rsqb;</mo> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>+</mo> <msub> <mi>BL</mi> <mi>e</mi> </msub> <mo>&amp;CenterDot;</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <mo>&amp;lsqb;</mo> <msub> <mi>R</mi> <mi>e</mi> </msub> <mo>&amp;rsqb;</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>&amp;lsqb;</mo> <msub> <mi>G</mi> <mi>e</mi> </msub> <mo>&amp;rsqb;</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>&amp;lsqb;</mo> <msub> <mi>B</mi> <mi>e</mi> </msub> <mo>&amp;rsqb;</mo> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>R</mi> <mi>d</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>G</mi> <mi>d</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>B</mi> <mi>d</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mo>&amp;lsqb;</mo> <msub> <mi>R</mi> <mi>w</mi> </msub> <mo>&amp;rsqb;</mo> </mtd> </mtr> <mtr> <mtd> <mo>&amp;lsqb;</mo> <msub> <mi>G</mi> <mi>w</mi> </msub> <mo>&amp;rsqb;</mo> </mtd> </mtr> <mtr> <mtd> <mo>&amp;lsqb;</mo> <msub> <mi>B</mi> <mi>w</mi> </msub> <mo>&amp;rsqb;</mo> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
In order to determine BLwAnd BLeValue, if BLe:BLw=k:, there is following formula 1 (0≤k≤1):
Y=BLwYw+BLeYe=BLw(Yw+kYe) (5)
In equation (5), Y represents the brightness value of each backlight subarea.YwAnd YeRepresent white light LEDs and treasured in each backlight area Stone indigo plant LED brightness;
It in order to determine the k values in equation (5), need to be calculated by the colour gamut of display under novel backlight module, be below determination k values Process:
Due to the addition of sapphire LEDs in backlight so that the colour gamut of the display has very big extension, WrWgWbEgEbIt is The gamut range covered using the display of novel backlight module, the C (x, y) that sets up an office are a colourity coordinate points, when C points are located at three Angular WrWgWbWhen middle, now k=0;When C points are located at quadrangle WgEgEbWbWhen middle, according to colour mixture principle, when white backlight and treasured When slate blue backlight ratio k carries out mixed light, have:
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>X</mi> <mi>g</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>Y</mi> <mi>g</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>Z</mi> <mi>g</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>X</mi> <mrow> <mi>g</mi> <mi>w</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>X</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>Y</mi> <mrow> <mi>g</mi> <mi>w</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>Y</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>Z</mi> <mrow> <mi>g</mi> <mi>w</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>Z</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mi>k</mi> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>X</mi> <mrow> <mi>g</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kX</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>Y</mi> <mrow> <mi>g</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kY</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>Z</mi> <mrow> <mi>g</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kZ</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>X</mi> <mi>b</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>Y</mi> <mi>b</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>Z</mi> <mi>b</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>X</mi> <mrow> <mi>b</mi> <mi>w</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>X</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>Y</mi> <mrow> <mi>b</mi> <mi>w</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>Y</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>Z</mi> <mrow> <mi>b</mi> <mi>w</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>Z</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mi>k</mi> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>X</mi> <mrow> <mi>b</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kX</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>Y</mi> <mrow> <mi>b</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kY</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>Z</mi> <mrow> <mi>b</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kZ</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
(Xg, Yg, Zg) represent to pass through the tristimulus values of green color filter, (X after jewel blue light and white light are with ratio k mixed lightsb, Yb,Zb) represent to pass through the tristimulus values of green color filter after jewel blue light and white light are with ratio k mixed lights;
For line segment WgEgOn any point G (xg, yg) and line segment EbWbOn any point B (xb,yb), 2 points of G and B's Chromaticity coordinate is represented by:
<mrow> <msub> <mi>x</mi> <mi>g</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>X</mi> <mrow> <mi>g</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kX</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>A</mi> <mrow> <mi>g</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kA</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>y</mi> <mi>g</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>Y</mi> <mrow> <mi>g</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kY</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>A</mi> <mrow> <mi>g</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kA</mi> <mrow> <mi>g</mi> <mi>e</mi> </mrow> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>x</mi> <mi>b</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>X</mi> <mrow> <mi>b</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kX</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>A</mi> <mrow> <mi>b</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kA</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>y</mi> <mi>b</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>Y</mi> <mrow> <mi>b</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kY</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>A</mi> <mrow> <mi>b</mi> <mi>w</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>kA</mi> <mrow> <mi>b</mi> <mi>e</mi> </mrow> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow>
Wherein, Agw=Xgw+Ygw+Zgw,Age=Xge+Yge+Zge,Abw=Xbw+Ybw+Zbw,Abe=Xbe+Ybe+Zbe;Then straight line GB Equation be represented by:
<mrow> <mi>y</mi> <mo>=</mo> <mfrac> <mrow> <msub> <mi>y</mi> <mi>g</mi> </msub> <mo>-</mo> <msub> <mi>y</mi> <mi>b</mi> </msub> </mrow> <mrow> <msub> <mi>x</mi> <mi>g</mi> </msub> <mo>-</mo> <msub> <mi>x</mi> <mi>b</mi> </msub> </mrow> </mfrac> <mrow> <mo>(</mo> <mi>x</mi> <mo>-</mo> <msub> <mi>x</mi> <mi>b</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>y</mi> <mi>b</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>12</mn> <mo>)</mo> </mrow> </mrow>
This linear equation is the expression formula on k, and k values can obtain if C (x, y) point coordinates determines, bring k values into formula (5), Then BLwAnd BLeValue determine, then liquid crystal compensation value (R, G, B) can be obtained by formula (4).
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