TWI705426B - Liquid crystal on silicon display device and method for calculating pixel voltage thereof - Google Patents

Abstract

A liquid crystal on silicon display device is provided. Multiple grey levels of a pixel are transformed into multiple color values. The grey levels respectively correspond to multiple first sub-pixels. For each of the first sub-pixels, at least one parameter of a reflectance fitting function is obtained according to the color values, a gamma correction is performed according to the corresponding grey level to obtain a reflectance, and a pixel voltage is calculated according to the at least one parameter and the reflectance. The pixel voltage is applied to a pixel electrode of the corresponding first sub-pixel.

Description

Silicon-based liquid crystal display device and pixel voltage calculation method thereof

The invention relates to a method for calculating pixel voltage in a silicon-based liquid crystal display device.

Various projection display devices, such as liquid crystal display devices, digital light processing (DLP) display devices, and silicon-based liquid crystal display devices, are commercially available today. Among these projection display devices, the liquid crystal display device is operated in a transmissive mode, and the digital light processing display device is operated in a reflective mode. Liquid crystal display devices are the oldest and most common, and have advantages such as high color accuracy and low production cost. However, liquid crystal display devices have disadvantages such as dead pixels and screen door effects, which reduce display performance. The digital light processing display device has advantages such as high contrast ratio and free of color decay. However, digital light processing display devices are relatively expensive. The silicon-based liquid crystal display device includes a typical liquid crystal display panel and a complementary metal oxide semiconductor (complementary metal oxide silicon; CMOS) silicon wafer process and other technologies. The silicon-based liquid crystal display device can achieve high resolution, high color resolution and accuracy, and can be produced by a semiconductor process. Because of these advantages, silicon-based liquid crystal display devices are used in electronic devices such as micro-projectors, monitors, or head mounted displays.

However, the sub-pixels in the silicon-based liquid crystal display device are very close to each other, so fringing field effect (fringing field effect) occurs. How to solve the fringing field effect is a topic of concern to those skilled in the art.

An embodiment of the present invention provides a silicon-based liquid crystal display device, which includes a silicon substrate, a color filter layer, and a computing circuit. A plurality of sub-pixels are formed on the silicon substrate, and each sub-pixel includes a pixel electrode and a common electrode. The color filter layer is disposed on the silicon substrate and has a plurality of color filter units. Each color filter unit corresponds to one of the sub-pixels and is located between the pixel electrode and the common electrode of the corresponding sub-pixel. The calculation circuit is used to obtain multiple grayscale values of a pixel, and convert these grayscale values to multiple color values in different color spaces. The grayscale values correspond to a plurality of first sub-pixels, and the first sub-pixels Make up a pixel. For each first sub-pixel, the calculation circuit obtains at least one parameter of the reflectance fitting function according to the color value, performs gamma correction according to the corresponding grayscale value to obtain the reflectance, and calculates the pixel based on the above parameters and reflectance The pixel voltage is applied to the pixel electrode of the corresponding first sub-pixel.

In some embodiments, the aforementioned grayscale values include red, green, and blue values. The aforementioned first sub-pixel includes a red sub-pixel, a green sub-pixel, and a blue sub-pixel, and the aforementioned color values are in the CIE-1931 color space.

In some embodiments, the above-mentioned reflectance fitting function is expressed as the following equation (1). Where c represents the red sub-pixel, green sub-pixel or blue sub-pixel, Refl _c is the reflectivity of the corresponding first sub-pixel, v _c is the pixel voltage of the corresponding first sub-pixel, A1 and A2 are constants, the above The parameters include v _{0, c} and dv _c .

In some embodiments, the aforementioned gamma correction is expressed as the following equation (2), where γ is a real number, grey _c is the corresponding gray level value, and C _MAX is a gray level maximum value.

In some embodiments, the calculation circuit inputs the color value into a plurality of look-up tables to obtain the parameters v _0,c and dv _c , and calculates the pixel voltage v _c according to the following equation (3).

為對應的灰階值的參數。 In some embodiments, the reflectance fitting function is expressed as the following equation (4), where

Is the parameter of the corresponding grayscale value.

In some embodiments, the aforementioned gamma correction is expressed as the following equation (5).

，並根據以下方程式(6)計算出像素電壓v_c，其中f ^-1()為反射率擬合函數的反函數。 In some embodiments, the calculation circuit inputs the color value into the lookup table to obtain the parameter

, And calculate the pixel voltage v _c according to the following equation (6), where f ^-1 () is the inverse function of the reflectance fitting function.

From another perspective, an embodiment of the present invention provides a method for calculating the pixel voltage of a silicon-based liquid crystal display device. The silicon-based liquid crystal display device includes a silicon substrate and a color filter layer, and a plurality of sub-pixels are formed on the silicon substrate. Each sub-pixel includes a pixel electrode and a common electrode. The color filter layer has a plurality of color filter units. Each color filter unit corresponds to one of the sub-pixels and is located between the pixel electrode and the common electrode of the corresponding sub-pixel. between. The calculation method includes: obtaining a plurality of grayscale values of a pixel, and converting these grayscale values to a plurality of color values in different color spaces, wherein the grayscale values respectively correspond to a plurality of first sub-pixels, and the first sub-pixels Pixels constitute a pixel; for each first sub-pixel, a reflectance fitting function parameter is obtained according to the color value, a gamma correction is performed according to the corresponding grayscale value to obtain the reflectance, and the reflectance is obtained according to the above parameters and reflectance The pixel voltage is calculated, and the pixel voltage is applied to the pixel electrode of the corresponding first sub-pixel.

In the above-mentioned silicon-based liquid crystal display device and method, a suitable pixel electrode can be calculated for each color to solve the problem caused by the fringe field effect.

In order to make the above-mentioned features and advantages of the present invention more comprehensible, the following specific embodiments are described in detail in conjunction with the accompanying drawings.

100: Silicon-based liquid crystal display device

102‧‧‧Silicon substrate

104‧‧‧Reflective layer

106‧‧‧Dielectric layer

108A, 108B‧‧‧Pixel electrode

110‧‧‧Color filter

110A, 110B‧‧‧

112‧‧‧First alignment layer

114‧‧‧Second alignment layer

116‧‧‧Liquid crystal layer

118‧‧‧Common electrode layer

118A, 118B‧‧‧Common electrode

120‧‧‧Transparent substrate

130‧‧‧Calculating circuit

P1, P2, 141~143, 151~153‧‧‧Sub pixel

140, 150‧‧‧ pixels

301~306‧‧‧Chart

401~403, 501, 511~513, 521~523, 531~533‧‧‧Step

410、420‧‧‧Database

[FIG. 1A] is a partial cross-sectional view of a silicon-based liquid crystal display device according to an embodiment.

[FIG. 1B] is a partial top view of a liquid crystal on silicon display device according to an embodiment.

[Fig. 2] is a graph showing the reflectivity and pixel voltage according to an embodiment.

[Fig. 3] is a schematic diagram showing the relationship between X, Y color values and parameters according to an embodiment.

[Fig. 4] is a schematic diagram of calculating pixel voltage according to an embodiment.

[Fig. 5] is a flowchart showing a method for calculating pixel voltage according to an embodiment.

Regarding the "first", "second", etc. used in this text, it does not specifically refer to the order or sequence, but only to distinguish elements or operations described in the same technical terms.

FIG. 1A is a partial cross-sectional view of a liquid crystal on silicon display device according to an embodiment. The silicon-based liquid crystal display device 100 includes a silicon substrate 102, a reflective layer 104, a dielectric layer 106, pixel electrodes 108A, 108B, a color filter layer 110, a first alignment layer 112, a second alignment layer 114, a liquid crystal layer 116, and a common electrode The layer 118, the light-transmitting substrate 120 and the calculation circuit 130.

The silicon substrate 102 is a complementary MOSFET silicon wafer, which includes active components such as transistors and circuits. The silicon substrate 102 has Multiple sub-pixels, these sub-pixels include red sub-pixels, blue sub-pixels, and green sub-pixels. In some embodiments, every three sub-pixels (ie, red sub-pixel, blue sub-pixel, and green sub-pixel) form a pixel. For example, FIG. 1B is a partial top view of a silicon-based liquid crystal display device according to an embodiment. Referring to FIG. 1B, the pixel 140 includes sub-pixels 141 to 143, which correspond to red, green, and blue, respectively; the pixel 150 includes The sub-pixels 151-153 correspond to red, green, and blue, respectively. It should be noted that, for the convenience of description, FIG. 1A only shows two adjacent sub-pixels P1 and P2, such as the sub-pixels 141 and 142 of FIG. 1B, but the present invention is not limited thereto. In addition, in other embodiments, the red sub-pixels, blue sub-pixels, and green sub-pixels in each pixel may also be arranged in other shapes. In some embodiments, each pixel may also include white pixels. The present invention does not Limited to the embodiment of FIG. 1B.

1A, the reflective layer 104 is disposed on the silicon substrate 102. The reflective layer 104 is used to reflect light incident to the liquid crystal on silicon display device 100. In some embodiments, the reflective layer 104 includes metal materials such as copper, aluminum, titanium, tantalum, gold, zinc, or alloys including the foregoing metal materials, or aluminum oxide, titanium oxide, titanium nitride, zinc oxide, etc. Metal compounds, or other suitable materials. In some embodiments, the reflective layer 104 is a reflective film or a reflective coating formed on the silicon substrate 102.

The dielectric layer 106 is disposed on the reflective layer 104, and the pixel electrodes 108A and 108B are disposed on the dielectric layer 106. The dielectric layer 106 is used to insulate the pixel electrodes 108A, 108B from the reflective layer 104 and the silicon substrate 102, and allow part of the incident light not reflected by the pixel electrodes 108A, 108B to penetrate, and part of the incident light reflected by the reflective layer 104 penetrate. The dielectric layer 106 includes, for example Dielectric materials such as silicon oxide, silicon nitride, silicon oxynitride, or a combination thereof, or other suitable materials.

The pixel electrodes 108A and 108B are used to provide pixel voltages corresponding to the sub-pixels, so that the sub-pixels P1 and P2 display individual grayscale values. The pixel electrodes 108A and 108B may be reflective or translucent. In some embodiments, the pixel electrodes 108A and 108B are reflective electrodes, which include, for example, aluminum, titanium, copper, gold, or similar materials. In some embodiments, the pixel electrodes 108A and 108B are translucent electrodes, which include, for example, indium tin oxide (ITO), indium zinc oxide (IZO) or other suitable conductive materials.

The color filter layer 110 is disposed on the pixel electrodes 108A and 108B. The color filter layer 110 has a plurality of color filter units (for example, color filter units 110A, 110B), and each color filter unit corresponds to a sub-pixel for passing light of a specific color. For example, the color filter unit 110A corresponds to the sub-pixel P1 to pass red light; and the color filter unit 110B corresponds to the sub-pixel P2 to pass green light. In some embodiments, the color filter layer 110 includes coloring materials or dyeing materials such as high molecular polymers, or other suitable materials.

The first alignment layer 112 is disposed on the color filter layer 110, the second alignment layer 114 is disposed opposite to the first alignment layer 112, and the liquid crystal layer 116 is disposed between the first alignment layer 112 and the second alignment layer 114. The liquid crystal layer 116 has liquid crystal molecules, which are aligned by the first alignment layer 112 and the second alignment layer 114, and are twisted according to the electric field generated between the pixel electrodes 108A, 108B and the common electrode layer 118. The first alignment layer 112 and the second alignment layer 114 It can be formed to have respective rubbing directions. The liquid crystal molecules of the liquid crystal layer 116 can be used in a vertical alignment (VA) display device or a twisted nematic (TN) display device, and the invention is not limited thereto.

The common electrode layer 118 includes light-transmitting and conductive materials, such as indium tin oxide, indium zinc oxide, or other suitable materials. In this embodiment, the common electrode layer 118 includes a common electrode 118A belonging to the sub-pixel P1 and a common electrode 118B belonging to the sub-pixel P2.

The translucent substrate 120 is disposed on the common electrode layer 118 to receive incident light and protect the internal components of the liquid crystal on silicon display device 100. In some embodiments, the translucent substrate 120 includes glass, silicon dioxide or similar translucent materials.

The calculation circuit 130 is used to calculate the pixel voltage provided to the pixel electrodes 108A and 108B. Generally speaking, gamma correction can be used to calculate the appropriate pixel voltage, but the electric field between the pixel electrode 108A and the common electrode 118A will affect the sub-pixel P2, and the electric field between the pixel electrode 108B and the common electrode 118B will also affect To sub-pixel P1. Under different colors, since the electric field intensity in each sub-pixel is different, the degree to which each sub-pixel is affected by adjacent electric fields is also different. In addition, the degree of impact of each sub-pixel will also vary due to the materials of the color filter units 110A and 110B. For example, even if the same pixel voltage is applied to the pixel electrode 108A, electric fields with different intensities will be generated when the sub-pixel P2 displays different grayscale values. The electric field of the sub-pixel P2 will affect the sub-pixel P1, which makes the same Pixel voltage may cause different reflectivity. Please refer to Figure 2, which is based on an implementation Illustrate a graph of reflectance and pixel voltage, the horizontal axis represents the pixel voltage, and the vertical axis represents the reflectance. As can be seen from Figure 2, in a specific color, the red, green, blue and white sub-pixel curves (respectively labeled R, G, B, and White, where the red curve and the Fit curve overlap, so It may not be seen in Figure 2) is not consistent, which makes it impossible to use the same gamma curve (labeled as Fit) to calculate the pixel voltages of the three sub-pixels. In addition, these curves in Figure 2 may also change when different colors are displayed. Theoretically, for each color and each sub-pixel, a specific gamma curve is required to calculate the pixel voltage, but for a 24-bit pixel, there will be a total of 16.7 million colors, and one is designed for each color. The gamma curve is not feasible, and an effective method is proposed here to calculate the pixel voltage.

First of all, in this embodiment, the CIE-1931 color space is used to represent a color. Therefore, the three grayscale values of red, green, and blue are first converted into x and y stimulus values. This step can be achieved through A conversion matrix is completed, as shown in the following equation (1).

CIExy=tf×inputRGB...(1)

Where inputRGB is a vector composed of three grayscale values of red, green, and blue, CIExy represents the x and y stimulus values in the CIE-1931 color space, and tf is the conversion matrix. In some embodiments, it is tf= [0.5767 0.1856 0.1882; 0.2974 0.6274 0.0753; 0.027 0.0707 0.9911]. However, in other embodiments, other color spaces (for example, Munsell color space) can also be used to represent a color. Therefore, in order to be applicable to various color spaces, the converted value is referred to as a color value here, and the present invention does not limit it. Convert the values in the matrix tf.

Next, measure the reflectivity of a sub-pixel under a specific x, y color value and record the corresponding pixel voltage. The reflectivity is expressed as Refl _c , c=R, G or B, and c stands for red, green, One of the three sub-pixels such as blue. For example, Refl _R is the reflectivity of the red sub-pixel 141 in FIG. 1B; Refl _G is the reflectivity of the green sub-pixel 142; and Refl _B is the reflectivity of the blue sub-pixel 143. The relationship between the reflectance and the pixel voltage can be approximated by a reflectance fitting function, expressed as the following equation (2). In other words, the reflectance fitting function is to approximate the curve of Figure 2.

Where v _c is the pixel voltage of the corresponding sub-pixel. For example, v _R is the pixel voltage of the red sub-pixel 141, v _G is the pixel voltage of the green sub-pixel 142, and v _B is the pixel voltage of the blue sub-pixel 143. A1 and A2 are constants, and v _{0, c} and dv _c are parameters. It is worth noting that different x and y color values correspond to different parameters v _0,c and dv _c , but since the x and y color values are continuous, there are actually infinite sets of x and y color values, so When measuring the reflectance Refl _c , the x and y color values can be sampled first. In this embodiment, 16 sets of x and y color values are sampled, but in other embodiments, more or fewer sets of x can be sampled. , Y color value. Appropriate parameters v _0,c and dv _c can be calculated in each set of x and y color values, so that the reflectance Refl _c calculated by the above equation (2) will approximate the actual measured reflectance. Next, you can create multiple lookup tables, by which the corresponding parameters v _0,c and dv _c can be obtained through the x and y color values. As shown in Figure 3, the graph 301 shows the x and y color values and The relationship between the parameters v _{0 and B} ; the graph 302 shows the relationship between the x and y color values and the parameters v _{0, G} ; the graph 303 shows the x and y color values and the parameter v _0, The relationship between _R ; the graph 304 shows the relationship between the x and y color values and the parameter dv _B ; the graph 305 shows the relationship between the x and y color values and the parameter dv _G ; the graph 306 Shown is the relationship between the x and y color values and the parameter dv _R. The charts 301 to 306 in Figure 3 are actually recorded in the database as a lookup table, which will be described in detail below.

In addition, the reflectivity of each sub-pixel can be calculated based on the gamma correction, as shown in the following equation (3).

Among them, γ is a real number, which can be set according to different products or customer requirements. Grey _c is the corresponding grayscale value, which can be in the range of 0~255. For example, when calculating the reflectance Refl _R , grey _R is the grayscale value of red, and so on. C _MAX is the maximum gray level, for example, 255. In equation (3), grey _c +1 is used instead of grey _c to avoid dividing the gray scale value by 0, but in other embodiments, the following equation (4) can also be used, and the present invention is not limited thereto. In other embodiments, each grayscale value may also have more than 8 bits, so the present invention does not limit the range of the grayscale value and the aforementioned maximum grayscale value.

After substituting equation (3) into equation (2), the relationship between the pixel voltage v _c and the reflectivity Refl _c can be obtained, as shown in the following equation (5).

It is worth noting that if the above equation (4) is substituted for the equation (3), the following equation (6) can be obtained.

FIG. 4 is a schematic diagram of calculating pixel voltages according to an embodiment. Please refer to Figure 4, first obtain multiple grayscale values of a pixel, represented as R, G, B in Figure 4, and convert these grayscale values into x, y in the CIE-1931 color space in step 401 The color value. Next, input the x and y color values into the lookup table in the database 410 to obtain the parameters v _0,c and dv _{c of the} reflectance fitting function. These lookup tables are illustrated in FIG. 3. Since only a limited number of x and y color groups are recorded in the lookup table, the parameters v _0,c and dv _c can be output by way of inner difference. For example, taking the graph 301 in FIG. 3 as an example, the parameter to be calculated can be regarded as a three-dimensional curved surface, and the sampling points 311 on the curved surface represent the parameters calculated based on the measured reflectivity. These sampling points 311 can be Used as a vertex of a triangle to divide the surface into multiple triangles. When inputting a set of x and y color values, the corresponding triangle can be found. According to the parameters on the vertices of this triangle, the parameters of any point in the triangle can be interpolated. Each chart in Figure 3 corresponds to a lookup table. In addition, in step 402, gamma correction is performed to obtain the reflectivity Refl _c , that is, the above equation (3) or (4) is performed.

In step 403, according to the parameter v _{0, c,} dv _c reflectance Refl _c corresponding to the calculated pixel voltage v _c, i.e., executes the equation (5) or (6). In some embodiments, the calculation in the ln function in equation (5) is real-time, but the ln function is implemented through a lookup table, that is to say, the following equation (7) is calculated in real time, and the result is input to the database After looking up the table in 420, the output of the ln function can be obtained.

In other words, step 403 can be simplified to the following equations (8) and (9), and the corresponding pixel voltage can be obtained by simple calculation.

v _c = dv _c × α + v _{0, c} …(8)

It is worth noting that the pixel voltages of the three sub-pixels will be calculated separately. As shown in FIG. 5, FIG. 5 is a flowchart illustrating a method for calculating the pixel voltage according to an embodiment. In step 501, multiple grayscale values of a pixel are obtained, and these grayscale values are converted to multiple color values in different color spaces, such as the CIE-1931 color space. Next, steps 511 to 513 are applicable to the red sub-pixel, steps 521 to 523 are applicable to the green sub-pixel, and steps 531 to 533 are applicable to the blue sub-pixel. In step 511, the parameters v _0,R and dv _{R are} obtained according to the color values x,y. In step 512, gamma correction is performed, and the reflectivity Refl _{R of the} red sub-pixel is calculated. In step 513, the pixel voltage v _R of the red sub-pixel is calculated according to the parameters v _0,R , dv _R and the reflectivity Refl _R. Steps 521 to 523 are similar to steps 511 to 513, respectively, but the parameters v _0,G and dv _G are calculated in step 521, the reflectance Refl _G is calculated in step 522, and the pixel is calculated in step 523 Voltage v _G. Similarly, the parameters v _0,B and dv _B are calculated in step 531, the reflectance Refl _B is calculated in step 532, and the pixel voltage v _B is calculated in step 533. In other words, although for the same color, suitable pixel voltages can be calculated for different sub-pixels.

In other embodiments, other reflectivity fittings can also be used Function, the present invention is not limited to this. The reflectance fitting function can be expressed as a general form in the following equation (10).

是對應至顏色c的參數向量，其中包括了一或多個參數，例如為上述的參數v_0,c、dv_c。在步驟511、521、531中便是將顏色值輸入至查找表以取得參數

。在步驟512、522、532中，可執行上述方程式(3)或是(4)以取得反射率Refl_c。在步驟513、523、533中根據以下方程式(11)可以計算出像素電壓。 among them

Is the parameter vector corresponding to the color c, which includes one or more parameters, such as the aforementioned parameters v _0,c and dv _c . In steps 511, 521, and 531, the color value is input into the lookup table to obtain the parameters

. In steps 512, 522, and 532, the above equation (3) or (4) can be executed to obtain the reflectance Refl _c . In steps 513, 523, and 533, the pixel voltage can be calculated according to the following equation (11).

f ^-1 () is the inverse function of the reflectance fitting function. In other words, the above equation (2) is a special case of the equation (10), and the above equation (5) or (6) is a special case of the equation (11). In some embodiments, the reflectance fitting function may include a linear function, a polynomial function, an exponential function, a trigonometric function, a logarithmic function, or a combination thereof, and the present invention is not limited thereto. Those skilled in the art can derive the inverse function after setting the reflectance fitting function.

Although the present invention has been disclosed in the above embodiments, it is not intended to limit the present invention. Anyone with ordinary knowledge in the technical field can make some changes and modifications without departing from the spirit and scope of the present invention. The scope of protection of the present invention shall be determined by the scope of the attached patent application.

501, 511~513, 521~523, 531~533‧‧‧Step

Claims (9)

A silicon-based liquid crystal display device includes: a silicon substrate, wherein a plurality of sub-pixels are formed on the silicon substrate, each of the sub-pixels includes a pixel electrode and a common electrode; a color filter layer is arranged on the silicon substrate There are a plurality of color filter units, each of the color filter units corresponds to one of the sub-pixels and is located between the pixel electrode and the common electrode of the corresponding sub-pixel; and a calculation A circuit for obtaining a plurality of grayscale values of a pixel, and converting the grayscale values to a plurality of color values in different color spaces, wherein the grayscale values respectively correspond to a plurality of the sub-pixels The first sub-pixel, the first sub-pixels constitute the pixel, and for each of the first sub-pixels, the calculation circuit obtains at least one parameter of a reflectance fitting function according to the color values, and according to the corresponding gray The order value performs a gamma correction to obtain a reflectivity, and calculates a pixel voltage according to the at least one parameter and the reflectivity, wherein the pixel voltage is applied to the pixel electrode of the corresponding first sub-pixel. The silicon-based liquid crystal display device described in the first item of the scope of patent application, wherein the gray scale values include red, green, and blue values, and the first sub-pixels include red sub-pixels, green sub-pixels, and blue For sub-pixels, these color values are in the CIE-1931 color space. In the silicon-based liquid crystal display device described in item 2 of the scope of patent application, the reflectance fitting function is expressed as the following equation (1):

Where c represents the red sub-pixel, the green sub-pixel, or the blue sub-pixel, Refl _c is the reflectivity of the corresponding first sub-pixel, v _c is the pixel voltage of the corresponding first sub-pixel, A1 And A2 are constants, and the at least one parameter includes v _{0, c} and dv _c . In the silicon-based liquid crystal display device described in item 3 of the scope of patent application, the step of performing the gamma correction according to the corresponding gray scale value to obtain the reflectivity is based on the following equation (2):

Where γ is a real number, grey _c is the corresponding gray level value, and C _MAX is a gray level maximum value. The silicon-based liquid crystal display device described in item 4 of the scope of patent application, wherein the calculation circuit inputs the color values into a plurality of look-up tables to obtain the parameters v _{0, c} and dv _c according to the following equation (3) Calculate the pixel voltage v _c :

In the silicon-based liquid crystal display device described in item 2 of the scope of patent application, the reflectance fitting function is expressed as the following equation (1):

Where c represents the red sub-pixel, the green sub-pixel or the blue sub-pixel, Refl _c is the reflectivity of the corresponding first sub-pixel, and v _c is the pixel voltage of the corresponding first sub-pixel,

Is the at least one parameter corresponding to the grayscale value. For the silicon-based liquid crystal display device described in item 6 of the scope of patent application, the gamma correction is expressed as the following equation (2):

Where γ is a real number, grey _{c is} one of the gray scale values, and C _MAX is a maximum gray scale value. Such as the silicon-based liquid crystal display device described in claim 7, wherein the calculation circuit inputs the color values into at least one look-up table to obtain the at least one parameter

, And calculate the pixel voltage v _c according to the following equation (3):

Where f ^-1 () is the inverse function of the reflectance fitting function. A method for calculating the pixel voltage of a silicon-based liquid crystal display device, wherein the silicon-based liquid crystal display device includes a silicon substrate and a color filter layer, a plurality of sub-pixels are formed on the silicon substrate, and each of the sub-pixels includes a pixel electrode With a common electrode, the color filter layer has a plurality of color filter units, and each of the color filter units corresponds to one of the sub-pixels One is located between the pixel electrode and the common electrode of the corresponding sub-pixel, and the calculation method includes: obtaining a plurality of grayscale values of a pixel, and converting the grayscale values to those in different color spaces. Color values, where the grayscale values respectively correspond to the first sub-pixels in the sub-pixels, and the first sub-pixels constitute the pixel; for each of the first sub-pixels, according to the colors Value obtains at least one parameter of a reflectance fitting function, performs a gamma correction according to the corresponding grayscale value to obtain a reflectance, and calculates a pixel voltage according to the at least one parameter and the reflectance, wherein the pixel The voltage is applied to the pixel electrode of the corresponding first sub-pixel.

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