CN109889812A - A kind of naked eye 3D holography conical surface display methods - Google Patents

A kind of naked eye 3D holography conical surface display methods Download PDF

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Publication number
CN109889812A
CN109889812A CN201910270309.5A CN201910270309A CN109889812A CN 109889812 A CN109889812 A CN 109889812A CN 201910270309 A CN201910270309 A CN 201910270309A CN 109889812 A CN109889812 A CN 109889812A
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lamp bar
rgb led
display
rotation
holography
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黎壮
黎利
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Shenzhen Freda Display Technology Co Ltd
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Shenzhen Freda Display Technology Co Ltd
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Abstract

The invention discloses a kind of naked eye 3D holography conical surface display methods, comprising: by establishing the transformational relation of each pixel in image to be displayed and RGB LED between position each in rotation display area;According to the transformational relation, the grayscale information of RGB LED display corresponding to each position in the rotation display area is obtained;The grayscale information of display corresponding to each position in the rotation display area according to the present rotation angel degree of the indication mechanism and RGB LED, the refreshing of primary display data is carried out to the RGB LED in left lamp bar and right lamp bar, and is lighted RGB LED according to the display data of acquisition and realized that picture is shown.The present invention is capable of forming a circular cone display surface in rotation display area, is capable of forming 3D rendering on the circular cone display surface, meanwhile, the 3D rendering shown on circular cone display surface can be seen all around, improve the visual experience of user.

Description

A kind of naked eye 3D holography conical surface display methods
Technical field
The present invention relates to dimension display technologies field more particularly to a kind of naked eye 3D holography conical surface display methods.
Background technique
In quick movement, after the image that human eye is seen disappears, human eye remains to continue to retain its image 0.1- object 0.4 second or so image, this phenomenon are referred to as visual persistence phenomenon.When human eye watches object, image on retina, and by Optic nerve inputs human brain, feels the picture of object.But when object is removed, optic nerve will not disappear to the impression of object immediately, And to continue 0.1-0.4 seconds time, this property of human eye is referred to as " persistence of visions of eyes ".
Visual persistence phenomenon is used by Chinese first, and revolving horse lantern is according to persistence of vision fortune earliest in historical records With.Have revolving horse lantern when the Song dynasty, claimed " horse rides lamp " at that time.Subsequent Frenchman sieve Borrow, which is covered, invented thaumatrope in 1828, It is the disk passed through by rope on two sides, and the one side of disk has drawn a bird, and another side has drawn an empty cage.Work as circle When disc spins, bird occurs in cage, this demonstrate that it once retains an image when eyes see a series of images.
Display device and display methods in the prior art are all to show figure using multiple groups LED module under normal conditions Picture can not directly display 3D rendering, meanwhile, these display devices can only watch the figure of display in one direction, influence to show Show the Experience Degree of picture.
Therefore, the existing technology needs to be improved and developed.
Summary of the invention
In view of above-mentioned deficiencies of the prior art, the purpose of the present invention is to provide a kind of naked eye 3D holography conical surface display sides Method is capable of forming a circular cone rotational display face by this method and can show 3D rendering on the circular cone rotational display face.
Technical scheme is as follows:
A kind of naked eye 3D holography conical surface display methods, the naked eye 3D holography conical surface display methods are aobvious by the naked eye 3D holography conical surface Showing device realizes that the naked eye 3D holography conical surface display device includes: rotary drive mechanism, and the rotary drive mechanism driving has One fixed disk is provided with an indication mechanism in the fixed disk;The indication mechanism includes: support plate, is separately positioned on described Left lamp bar, the right lamp bar of support plate left and right ends, the left lamp bar intersect at top with right lamp bar;The support plate, left lamp bar An isosceles triangle is constituted with right lamp bar, the angle between the support plate and left lamp bar, right lamp bar is all 30 ° to 60 °;Institute The RGB LED that the outer surface for stating left lamp bar and right lamp bar is disposed with that several columns linearly arrange from the top to the bottom, it is any The RGB LED all includes red LED element, green LED elements and blue-led element;
The naked eye 3D holography conical surface display methods includes the following steps:
Each pixel in image to be displayed and RGB LED is established to turn between position each in the rotation display area Change relationship;
According to the transformational relation, the gray scale of RGB LED display corresponding to each position in the rotation display area is obtained Information;
The indication mechanism is in rotary course, according to the present rotation angel degree of the indication mechanism and RGB LED in the rotation Turn the corresponding grayscale information shown in each position in display area, the RGB LED in left lamp bar and right lamp bar is carried out primary It shows the refreshing of data, and lights RGB LED according to the display data of acquisition and realize that picture is shown.
Preferably, each pixel established in image to be displayed and RGB LED are each in rotation display area Before transformational relation between position further include: determine rotation display area and resolution ratio;
The calculation formula of the rotation display area are as follows:
The calculation formula of the resolution ratio are as follows:
Wherein, the r be from support plate center to support plate edge between length, the h be support plate center to left lamp bar, Height between right lamp bar intersection point, the m are the quantity of RGB LED in left lamp bar or right lamp bar.
Preferably, according to the transformational relation, acquisition RGB LED is in the rotation display area corresponding to each position The grayscale information of display and the indication mechanism are in rotary course, according to the present rotation angel degree and RGB of the indication mechanism The grayscale information of LED display corresponding to each position in the rotation display area, to the RGB in left lamp bar and right lamp bar LED carries out the refreshing of primary display data, and lights RGB LED according to the display data of acquisition and realize that picture also wraps between showing It includes:
When sensor detects left lamp bar or right lamp bar is displaced the width b of a lamp bead, the indication mechanism rotational angle Calculation formula are as follows:, current rotation angle is calculated by the calculation formula of the indication mechanism rotational angle Degree;
The calculation formula of the refreshing frequency of the RGB LED are as follows:, pass through the meter of the refreshing frequency of the RGB LED Calculate the refreshing frequency that formula calculates RGB LED.
Preferably, each pixel established in image to be displayed and RGB LED are in the rotation display area Transformational relation between each position specifically includes:
Using the bottom center of image to be displayed as origin, bottom center's front-rear direction of image to be displayed is x-axis, image to be displayed Bottom center's left and right directions be y-axis, the short transverse of image to be displayed is z-axis, and the space right-angle for establishing image to be displayed is sat Mark system;
Obtain coordinate value of each pixel in image to be displayed in the rectangular coordinate system in space
Using the center of support plate as pole, the spherical coordinate system of support plate is established
It is converted by coordinate system, the rectangular space coordinate of figure to be shown and the spherical coordinate system of support plateIt Between transformational relation are as follows:,,
Wherein,
Preferably, according to the transformational relation, acquisition RGB LED is in the rotation display area corresponding to each position The grayscale information of display specifically includes:
Assuming that the coloration of any pixel is RGB (R, G, B) in image to be displayed, the gray scale of any pixel in image to be displayed Value extracts formula are as follows:
After going out gray value according to gray value extraction formulas Extraction, three RGB ashes of RGB LED at each pixel are calculated Angle value.
Preferably, the indication mechanism is in rotary course, according to the present rotation angel degree and RGB of the indication mechanism The grayscale information of LED display corresponding to each position in the rotation display area, to the RGB in left lamp bar and right lamp bar LED carries out the refreshing of primary display data, and is lighted after RGB LED realization picture is shown according to the display data of acquisition and also wrapped It includes:
After the indication mechanism has rotated 180 degree, if receiving the instruction for exiting rotational display within a preset time, terminate The display of present image;
If not receiving the instruction for exiting rotational display within a preset time, returns according to the transformational relation, obtain RGB LED is in rotation display area the step for the grayscale information of display corresponding to each position.
Preferably, the rotary drive mechanism is motor.
Preferably, the revolving speed of the motor is 360.57 revs/min, to reach the refreshing frequency of 24 frames/second image to be displayed Rate.
Compared with prior art, the embodiment of the present application mainly have it is following the utility model has the advantages that
Naked eye 3D holography conical surface display methods provided by the present invention, by establish each pixel in image to be displayed with Transformational relation of the RGB LED between position each in the rotation display area;According to the transformational relation, RGB is obtained The grayscale information of LED display corresponding to each position in the rotation display area;According to the current rotation of the indication mechanism The grayscale information of gyration and RGB the LED display corresponding to each position in the rotation display area, to left lamp bar and the right side RGB LED in lamp bar carries out the refreshing of primary display data, and lights RGB LED according to the display data of acquisition and realize picture Display is capable of forming 3D rendering on the circular cone display surface to form a circular cone display surface, meanwhile, all around all It can be seen that the 3D rendering shown on circular cone display surface, improves the visual experience of user.
Detailed description of the invention
In order to illustrate more clearly of the scheme of the application, one will be made to attached drawing needed in embodiment description below A simple introduction, it should be apparent that, the accompanying drawings in the following description is some embodiments of the present application, for ordinary skill For personnel, without creative efforts, it is also possible to obtain other drawings based on these drawings.
Fig. 1 is the structural schematic diagram of the naked eye 3D holography conical surface display device preferred embodiment in the present invention.
Fig. 2 is the rotation display area figure of the naked eye 3D holography conical surface display methods preferred embodiment in the present invention.
Fig. 3 is the flow chart of the naked eye 3D holography conical surface display methods preferred embodiment in the present invention.
Fig. 4 is the flow chart of the naked eye 3D holography conical surface display methods another embodiment in the present invention.
Fig. 5 is the spherical coordinates schematic diagram of the naked eye 3D holography conical surface display methods preferred embodiment in the present invention.
Fig. 6 is the flow chart of the another preferred embodiment of naked eye 3D holography conical surface display methods in the present invention.
Specific embodiment
Unless otherwise defined, all technical and scientific terms used herein and the skill for belonging to present techniques field The normally understood meaning of art personnel is identical;It is specific that description is intended merely in the term used in the description of application herein The purpose of embodiment, it is not intended that in limitation the application;In the description and claims of this application and above-mentioned Detailed description of the invention Term " includes " and " having " and their any deformation, it is intended that cover and non-exclusive include.The explanation of the application Book and claims or term " first " in above-mentioned attached drawing, " second " etc. rather than are used for for distinguishing different objects Particular order is described.
Referenced herein " embodiment " is it is meant that a particular feature, structure, or characteristic described can wrap in conjunction with the embodiments It is contained at least one embodiment of the application.Each position in the description occur the phrase might not each mean it is identical Embodiment, nor the independent or alternative embodiment with other embodiments mutual exclusion.Those skilled in the art explicitly and Implicitly understand, embodiment described herein can be combined with other embodiments.
A kind of naked eye 3D holography conical surface display methods that present pre-ferred embodiments provide, the naked eye 3D holography conical surface are aobvious Show that method is realized by naked eye 3D holography conical surface display device, as shown in Figure 1, the naked eye 3D holography conical surface display device packet Include: rotary drive mechanism 100, the driving of rotary drive mechanism 100 have a fixed disk 200, are provided in the fixed disk 200 One indication mechanism 300;The indication mechanism 300 includes: support plate 301, is separately positioned on 301 left and right ends of support plate Left lamp bar 302, right lamp bar 303, the left lamp bar 302 intersect at top with right lamp bar 303;The support plate 301, left lamp bar 302 and right lamp bar 303 constitute an isosceles triangle, the angle between the support plate 301 and left lamp bar 302, right lamp bar 303 It is all 30 ° to 60 °;The outer surface of the left lamp bar 302 and right lamp bar 303 is disposed with several columns in line from the top to the bottom Property arrangement RGB LED304, any RGB LED304 all include red LED element, green LED elements and blue led member Part;
As shown in figure 3, the naked eye 3D holography conical surface display methods includes the following steps:
S100, establish each pixel in image to be displayed and RGB LED in the rotation display area each position it Between transformational relation;
S200, according to the transformational relation, obtain RGB LED display corresponding to each position in the rotation display area Grayscale information;
S300, the indication mechanism are in rotary course, according to the present rotation angel degree of the indication mechanism and RGB LED in institute The corresponding grayscale information shown in each position in rotation display area is stated, the RGB LED in left lamp bar and right lamp bar is carried out The refreshing of primary display data, and light RGB LED according to the display data of acquisition and realize that picture is shown.
Line, the principle of line forming face in rotation, by several RGB LED according to certain are formed in rotation according to multiple points Aligned transfer.After several RGB LED in left lamp bar 302 and right lamp bar 303 are moved by certain track, due to each As soon as RGB LED will form a trajectory line (trajectory line is circle), these trajectory lines will form a track plane, in left lamp bar 302 and right lamp bar 303 revolve in cycle turnover, each RGB LED can have in its trajectory line one it is corresponding at the time of pair It answers, then the track plane that left lamp bar 302 and right lamp bar 303 are formed is corresponded with picture to be shown is needed, according to needed for picture The RGB LED for lighting movement is formed by pixel corresponding to track plane, so that it may a picture is formed, so that it is aobvious to reach 3D The effect shown.
In the further preferred embodiment of the present invention, as shown in Fig. 2, S100, each picture established in image to be displayed Before the transformational relation of vegetarian refreshments and RGB LED between position each in rotation display area further include: S600, determine that rotation is aobvious Show region and resolution ratio;
The calculation formula of the rotation display area are as follows:
The calculation formula of the resolution ratio are as follows:
Wherein, the r be from support plate center to support plate edge between length, the h be support plate center to left lamp bar, Height between right lamp bar intersection point, the m are the quantity of RGB LED in left lamp bar or right lamp bar.
The rotation display area is a circular conical surface, can show image on the circular conical surface.
In the further preferred embodiment of the present invention, as shown in figure 4, S200, according to the transformational relation, obtain RGB LED The grayscale information Yu S300, the indication mechanism of display corresponding to each position are in rotary course in the rotation display area In, according to the present rotation angel degree of the indication mechanism and RGB LED corresponding to each position in the rotation display area The grayscale information of display carries out the refreshing of primary display data to the RGB LED in left lamp bar and right lamp bar, and according to acquisition Display data are lighted between RGB LED realizes that picture shows further include:
S400, when sensor detects that left lamp bar or right lamp bar are displaced the width b of a lamp bead, the indication mechanism angle of rotation The calculation formula of degree are as follows:, current rotation is calculated by the calculation formula of the indication mechanism rotational angle Gyration;
The calculation formula of the refreshing frequency of the RGB LED are as follows:, pass through the meter of the refreshing frequency of the RGB LED Calculate the refreshing frequency that formula calculates RGB LED.
In the further preferred embodiment of the present invention, S100, each pixel and the RGB established in image to be displayed Transformational relation of the LED between position each in the rotation display area specifically includes:
S101, using the bottom center of image to be displayed as origin, bottom center's front-rear direction of image to be displayed is x-axis, to aobvious Bottom center's left and right directions of diagram picture is y-axis, and the short transverse of image to be displayed is z-axis, establishes the space of image to be displayed Rectangular coordinate system;
Coordinate value of each pixel in the rectangular coordinate system in space in S102, acquisition image to be displayed
S103, using the center of support plate as pole, establish the spherical coordinate system of support plate
S104, it is converted by coordinate system, the rectangular space coordinate of figure to be shown and the spherical coordinate system of support plateBetween transformational relation are as follows:,,
Wherein,
As shown in fig. 5, it is assumed that P(x, y, z) for a bit, then such three orderly numbers (ρ, θ, φ) also can be used in point P in space Determine, wherein ρ be origin O between the point P at a distance from;θ is the angle of directed line segment OP and z-axis forward direction;φ is from the point of view of positive z-axis Go to the angle that projection of the P on the face xOy is turned over counterclockwise from x-axis, such three several ρ, θ, φ are called the ball of point P Areal coordinate, it is clear that here the variation range of ρ, θ, φ be respectively r ∈ [0 ,+∞), θ ∈ [0, π], φ ∈ [0,2 π].Thus may be used Know,When for constant, which is a spherical surface.
In the further preferred embodiment of the present invention, S200, according to the transformational relation obtains RGB LED in the rotation The corresponding grayscale information shown in each position specifically includes in display area:
S201, the coloration for assuming any pixel in image to be displayed are RGB (R, G, B), any pixel in image to be displayed Gray value extract formula are as follows:
S202, after going out gray value according to gray value extraction formulas Extraction, three of RGB LED at each pixel are calculated RGB gray value.
The complete image of one width is made of red, green, blue three channels.Red, green, blue three channels Contracting to look at figure shown with gray scale.The specific gravity of " red, green, blue " in the picture is indicated with different gray scales.Channel In it is pure white, represent the coloured light here it is maximum brightness, gray scale is 255.
For the floating-point operation for avoiding low speed, integer arithmetic is carried out to it, scales it 1000 times, since RGB is generally 8 Precision, therefore be 32 integer calculations, when calculating, needs plus 500 realize round up again, obtains integer calculations formula:
Gray=(R*299+G*587+B*144+500)/1000
Mutation is carried out, formula is simplified:
Gray=(R*30+G*59+B*11+50)/100
After extracting gray value, three RGB gray values of the RGB lamp bead at each pixel are calculated, R:G:B ≈ 3:6:1, By controlling each LED current value, so that it is met above formula, the chroma data of each phase vegetarian refreshments can be applied directly to often In the gradation data of a LED light.
In 24 chromatic graph pieces, each phase vegetarian refreshments accounts for 3 byte datas, and RGB respectively accounts for a byte, corresponds to display gray scale In data and each lamp bead accounts for the data of 3 bytes, and RGB respectively accounts for a byte.
In the further preferred embodiment of the present invention, S300, the indication mechanism are in rotary course, according to the display machine The grayscale information of present rotation angel degree and RGB the LED display corresponding to each position in the rotation display area of structure, it is right RGB LED in left lamp bar and right lamp bar carries out the refreshing of primary display data, and lights RGB according to the display data of acquisition After LED realizes that picture is shown further include:
After S500, the indication mechanism have rotated 180 degree, if receiving the instruction for exiting rotational display within a preset time, Then terminate the display of present image;
If not receiving the instruction for exiting rotational display within a preset time, returns according to the transformational relation, obtain RGB LED is in rotation display area the step for the grayscale information of display corresponding to each position.
In the further preferred embodiment of the present invention, the rotary drive mechanism is motor.
In the further preferred embodiment of the present invention, the revolving speed of the motor is 360.57 revs/min, to reach 24 frames/second The refreshing frequency of image to be displayed.
Since 1/24 second time was the maximum duration that human eye generates the persistence of vision, the refreshing frequency of image to be displayed Rate is 24 frames/second.
In conclusion naked eye 3D holography conical surface display methods provided by the present invention, comprising: by establishing image to be displayed In transformational relation between position each in the rotation display area of each pixel and RGB LED;According to described turn Relationship is changed, the grayscale information of RGB LED display corresponding to each position in the rotation display area is obtained;According to described aobvious Show the gray scale letter of present rotation angel degree and RGB the LED display corresponding to each position in the rotation display area of mechanism Breath, the refreshing of primary display data is carried out to the RGB LED in left lamp bar or right lamp bar, and is lighted according to the display data of acquisition RGB LED realizes that picture is shown, to form a circular cone display surface, is capable of forming 3D rendering on the circular cone display surface, together When, the 3D rendering shown on circular cone display surface can be seen all around, improve the visual experience of user.
Obviously, embodiments described above is merely a part but not all of the embodiments of the present application, attached The preferred embodiment of the application is given in figure, but is not intended to limit the scope of the patents of the application.The application can be with many differences Form realize, on the contrary, purpose of providing these embodiments is keeps the understanding to disclosure of this application more thorough Comprehensively.Although the application is described in detail with reference to the foregoing embodiments, for coming for those skilled in the art, Can still modify to technical solution documented by aforementioned each specific embodiment, or to part of technical characteristic into Row equivalence replacement.All equivalent structures done using present specification and accompanying drawing content, are directly or indirectly used in other Relevant technical field, similarly within the application scope of patent protection.

Claims (8)

1. a kind of naked eye 3D holography conical surface display methods, which is characterized in that the naked eye 3D holography conical surface display methods passes through naked Eye 3D holography conical surface display device realizes that the naked eye 3D holography conical surface display device includes: rotary drive mechanism, the rotation Driving mechanism driving has a fixed disk, and an indication mechanism is provided in the fixed disk;The indication mechanism includes: support plate, It is separately positioned on left lamp bar, the right lamp bar of the support plate left and right ends, the left lamp bar intersects at top with right lamp bar;It is described Support plate, left lamp bar and right lamp bar constitute an isosceles triangle, and the angle between the support plate and left lamp bar, right lamp bar is all It is 30 ° to 60 °;The outer surface of the left lamp bar and right lamp bar is disposed with what several columns linearly arranged from the top to the bottom RGB LED, any RGB LED all includes red LED element, green LED elements and blue-led element;
The naked eye 3D holography conical surface display methods includes the following steps:
The conversion of each pixel in image to be displayed and RGB LED between position each in rotation display area is established to close System;
According to the transformational relation, the gray scale of RGB LED display corresponding to each position in the rotation display area is obtained Information;
The indication mechanism is in rotary course, according to the present rotation angel degree of the indication mechanism and RGB LED in the rotation Turn the corresponding grayscale information shown in each position in display area, the RGB LED in left lamp bar and right lamp bar is carried out primary It shows the refreshing of data, and lights RGB LED according to the display data of acquisition and realize that picture is shown.
2. naked eye 3D holography conical surface display methods according to claim 1, which is characterized in that described to establish image to be displayed In transformational relation between position each in rotation display area of each pixel and RGB LED before further include: determine Rotation display area and resolution ratio;
The calculation formula of the rotation display area are as follows:
The calculation formula of the resolution ratio are as follows:
Wherein, the r be from support plate center to support plate edge between length, the h be support plate center to left lamp bar, Height between right lamp bar intersection point, the m are the quantity of RGB LED in left lamp bar or right lamp bar.
3. naked eye 3D holography conical surface display methods according to claim 2, which is characterized in that according to the transformational relation, RGB LED grayscale information of display corresponding to each position in the rotation display area is obtained to revolve with the indication mechanism Turn during, according to the present rotation angel degree of the indication mechanism and RGB LED in the rotation display area each position The grayscale information of corresponding display, the refreshing to the primary display data of RGB LED progress in left lamp bar and right lamp bar, and according to The display data of acquisition are lighted between RGB LED realizes that picture shows further include:
When sensor detects left lamp bar or right lamp bar is displaced the width b of a lamp bead, the indication mechanism rotational angle Calculation formula are as follows:, current rotation angle is calculated by the calculation formula of the indication mechanism rotational angle Degree;
The calculation formula of the refreshing frequency of the RGB LED are as follows:, pass through the calculating of the refreshing frequency of the RGB LED Formula calculates the refreshing frequency of RGB LED.
4. naked eye 3D holography conical surface display methods according to claim 3, which is characterized in that described to establish image to be displayed In transformational relation between position each in rotation display area of each pixel and RGB LED specifically include:
Using the bottom center of image to be displayed as origin, bottom center's front-rear direction of image to be displayed is x-axis, image to be displayed Bottom center's left and right directions be y-axis, the short transverse of image to be displayed is z-axis, and the space right-angle for establishing image to be displayed is sat Mark system;
Obtain coordinate value of each pixel in image to be displayed in the rectangular coordinate system in space
Using the center of support plate as pole, the spherical coordinate system of support plate is established
It is converted by coordinate system, the rectangular space coordinate of figure to be shown and the spherical coordinate system of support plateIt Between transformational relation are as follows:,,
Wherein,
5. naked eye 3D holography conical surface display methods according to claim 3, which is characterized in that according to the transformational relation, RGB LED grayscale information of display corresponding to each position in the rotation display area is obtained to specifically include:
Assuming that the coloration of any pixel is RGB (R, G, B) in image to be displayed, the gray scale of any pixel in image to be displayed Value extracts formula are as follows:
After going out gray value according to gray value extraction formulas Extraction, three RGB ashes of RGB LED at each pixel are calculated Angle value.
6. naked eye 3D holography conical surface display methods according to claim 3, which is characterized in that the indication mechanism is rotating In the process, according to the present rotation angel degree of the indication mechanism and RGB LED in the rotation display area each position institute The grayscale information of corresponding display, carries out the refreshing of primary display data to the RGB LED in left lamp bar and right lamp bar, and according to obtaining Display data light after RGB LED realizes that picture shows further include:
After the indication mechanism has rotated 180 degree, if receiving the instruction for exiting rotational display within a preset time, terminate The display of present image;
If not receiving the instruction for exiting rotational display within a preset time, returns according to the transformational relation, obtain RGB LED is in rotation display area the step for the grayscale information of display corresponding to each position.
7. naked eye 3D holography conical surface display methods according to claim 1, which is characterized in that the rotary drive mechanism is Motor.
8. naked eye 3D holography conical surface display methods according to claim 7, which is characterized in that the revolving speed of the motor is 360.57 revs/min, to reach the refreshing frequency of 24 frames/second image to be displayed.
CN201910270309.5A 2019-04-04 2019-04-04 A kind of naked eye 3D holography conical surface display methods Pending CN109889812A (en)

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