CN211577657U - Reflective geometric holographic display system - Google Patents
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- CN211577657U CN211577657U CN202020573157.4U CN202020573157U CN211577657U CN 211577657 U CN211577657 U CN 211577657U CN 202020573157 U CN202020573157 U CN 202020573157U CN 211577657 U CN211577657 U CN 211577657U
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Abstract
The utility model relates to a 3D shows the field, discloses a reflection type geometric holography display system, including at least one projector, supplementary formation of image screen, one lie in supplementary formation of image screen one side or two respectively lie in supplementary formation of image screen both sides reflection type geometric holography screen, supporting structure and controller, reflection type geometric holography screen is used for reflecting light that shines on it; viewing of reflective geometric holographic display systemThe number of points is n, the mean value of the diameter of the light transmission part of the outermost lens of the projector is D decimeter, the mean value of the projection light source power of the projector is P watt, and the requirements are met:the retroreflection type geometric holographic screen is realized by introducing light rays with any modulation angle, incident light rays are modulated, other optical modules are omitted, the cost is saved to a certain extent, the occupied space of the system is reduced, optimized design parameter configuration is provided simultaneously, and the purpose of considering both the display effect and the system reliability is achieved.
Description
Technical Field
The utility model belongs to the technical field of 3D shows and specifically relates to a reflection-type geometry holographic display system is related to.
Background
The 3D display technology may provide depth information to exhibit more visual information than the conventional 2D display technology, so that the degree of restitution of the display image is higher. The 3D display technology is therefore a very popular technology in current academic research. The 3D display scheme based on the holographic technology can restore the light field distribution of the real physical world in principle, so that all optical characteristics of the 3D scene are completely restored. The traditional holographic display technology is to record the light intensity information and the phase information of a scene by utilizing the fluctuation characteristic of light, thereby realizing the recording of the light intensity, the color and the depth of field of the scene. However, coherent light is needed for shooting and displaying in this way, the light path setting during the shooting and displaying process is very harsh, and slight disturbance of the environment can cause shooting failure, so that the method cannot be really applied in life.
Currently, mainstream 3D display solutions (such as 3D movies in theaters) are all pseudo 3D display images based on parallax image pairs (stereo image pairs), which cannot display real 3D images, and the physical focal depth of the display image is fixed, so that the display of scenes with different focal depths cannot be realized. Although many 3D display technologies have been proposed, none of them can really display a large-scale, stable, high-quality 3D image.
The patent application No. 201910875975.1 discloses a new holographic display scheme that achieves the reconstruction of depth information using entirely geometric optics principles. However, 3D display can be realized only by a very accurate eye tracking means, the structural limitation of the display system is large, sufficient system layout space cannot be provided for the display system in many application scenarios, and the system is complex and has high cost. In addition, the optical parameter setting of the display system needs to be carefully designed to ensure the ideal display effect and the reliability of the display system, otherwise, the display system may not achieve the ideal display effect or ensure the reliability because of the display parameter being not suitable. In addition, the transmission type imaging system has the problem of low utilization rate of the light source. The projection light is refracted and then divided into four beams, wherein only one beam participates in imaging, and the three non-imaging beams easily interfere with the formed image, so that the imaging quality is reduced.
The air suspension display system with publication number CN108269511A discloses a scheme of two-dimensional plane air imaging, and discloses a retro-reflective right-angled triangle prism array, which comprises a light reflection screen of a series of right-angled triangle prisms, the right-angled triangle prisms can only realize the retro-reflective imaging function of light rays parallel to the cross section of the right-angled triangle prisms, when the light rays are not parallel to the cross section, the retro-reflective function cannot be realized, the right-angled triangle prisms do not have the function of modulating the light rays which are not parallel to the cross section, and the light rays need to be modulated by other optical modules to realize the retro-reflective imaging; meanwhile, the display scheme is fixed display, a user can only view the off-screen picture of the space at a specific position, dynamic display cannot be achieved, and limitation is large.
SUMMERY OF THE UTILITY MODEL
In order to solve or partly solve the not enough of prior art, a reflection-type geometric holography display system is provided, realize contrary reflective reflection-type geometric holography screen through introducing the light that possesses the modulation arbitrary angle, incident light is modulated, other optical module has been saved, the cost has been practiced thrift to a certain extent, the occupation space of system has been reduced, the system adopts two reflection-type geometric holography screens can improve the light source utilization ratio simultaneously, the interference of non-imaging light beam to the object has been avoided, the imaging quality is greatly improved, in addition, the design parameter configuration of optimization has still been provided, the mesh of taking into account display effect and system reliability is reached.
In order to solve the above technical problem, the utility model provides a reflection-type geometric holography display system, include:
at least one projector for projecting picture information in space;
the auxiliary imaging screen is used for light splitting;
one or two reflecting geometric holographic screens are positioned at one side of the auxiliary imaging screen and are respectively positioned at two sides of the auxiliary imaging screen and used for reflecting light rays irradiated on the reflecting geometric holographic screens;
the supporting structure is respectively matched with the projector, the auxiliary imaging screen and the reflective geometric holographic screen, and provides physical structural support for the projector, the auxiliary imaging screen and the reflective geometric holographic screen;
the controller is electrically connected with the projector and is used for controlling the projector to adjust the depth of field and the display content of the projection picture;
the number of viewpoints of the reflective geometric holographic display system is n, the mean value of the diameters of the light transmission parts of the outermost lenses of the projector is D decimeter, the mean value of the projection light source power of the projector is P watt, and the requirements are met:
further, the average value of the display luminous flux of the projector is L lumens, and the number n of viewpoints of the reflective geometric holographic display system satisfies the following condition:
n1.27·L≤24000。
further, the number of viewpoints n of the reflective geometric holographic display system satisfies the following conditions with the average value L lumen of the display luminous flux of the projector and the average value D decimeter of the diameter of the light transmission part of the outermost lens of the projector:
furthermore, the reflective geometric holographic screen is a flexible holographic screen, a series of pentagonal columnar elementary prisms with right-angled triangles or a combination of rectangles and right-angled triangles are arranged in the reflective geometric holographic screen, a plurality of transparent layers and reflecting layers which are arranged at intervals are arranged in the columnar elementary prisms along the length direction, and a reflecting film is arranged on an inclined plane where a right-angled side of the cross section of the columnar elementary prisms is located and used for performing mirror reflection on light;
the cross section of the columnar element prism is a right angle included by a right triangle or a pentagon formed by combining a rectangle and the right triangle, and the error range of angles between the transparent layer and the reflecting layer and the length direction of the columnar element prism is within +/-5 degrees.
Further, in the prism of the columnar element having the cross section of a pentagon of a combination of a rectangle and a right triangle, the inside of the prism of the right triangle portion does not contain a reflective layer.
Furthermore, the device also comprises at least one light path folding mirror group arranged on one side or two sides of the auxiliary imaging screen and used for adjusting the light path.
Further, the projector adopts a common projection device capable of projecting a two-dimensional picture or a holographic projection device capable of projecting a three-dimensional picture or a two-dimensional picture group distributed in different depths of a space.
Further, the projection focal depth of the projector is adjustable in a space which is 0.1m away from the outermost lens of the projector lens and is beyond 0.1m away from the outermost lens of the projector lens.
Further, the supporting structure is a deformable or movable structure and is electrically connected with the controller, and the controller can control the deformation or the movement of the supporting structure, so that the relative movement and/or the overall movement among the projector, the auxiliary imaging screen and the reflective geometric holographic screen are realized.
The display device further comprises an interactive action capturing unit electrically connected with the controller, wherein the interactive action capturing unit is used for identifying the interactive action of the user and sending the information of the interactive action of the user to the controller, and the controller adjusts the content of the display picture according to the received information of the interactive action of the user acquired by the interactive action capturing unit.
The controller controls the support structure to make corresponding action response according to the received human eye positioning information acquired by the human eye tracking unit, so as to adjust the relative position and/or the overall spatial position of the projector, the auxiliary imaging screen and the reflective geometric holographic screen, and enable the eyes of a user to be always in the visual space of the system.
Furthermore, the visible space is a space which satisfies the following relational expression under an optical conjugate coordinate system (X ', Y ', Z ') after a series of optical conversions, wherein the visible space is a space which takes the center of the outermost lens of the projector lens as an origin, the outer normal of the lens center as a Y-axis direction, a straight line passing through the origin and perpendicular to a horizontal plane as an X-axis, and a straight line passing through the origin and perpendicular to the X-axis and the Y-axis as a Z-axis:
wherein K is an expansion constant with unit of decimeter and the range of K is more than 0 and less than 0.08;
m is a conjugate deviation constant, and m is within the range of 0-5.
Compared with the prior art, the utility model has the advantages of:
1. the reflection type geometric holographic screen capable of realizing retroreflection by introducing light rays with any modulation angle modulates incident light rays, so that other optical modules are omitted, the cost is saved to a certain extent, and the occupied space of the system is reduced;
2. the display system of the utility model adopts two reflection type geometric holographic screens which are respectively arranged at the two sides of the auxiliary imaging screen, and the interference of non-imaging light beams is avoided in the imaging process, thereby greatly improving the imaging quality and having high utilization rate of light sources;
3. the support structure is set to be a deformable or movable structure, so that relative movement and/or integral movement among the projector, the auxiliary imaging screen and the reflective geometric holographic screen are realized, and dynamic display is realized;
4. the reasonable optical parameter setting can effectively improve the display effect and the reliability of the holographic display system.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments described in the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a schematic diagram of a prior art holographic display system;
fig. 2 is a system diagram and a light path diagram of the present invention in which the projector 6 and a reflective geometric holographic screen 8 are located on the same side of the auxiliary imaging screen 7;
fig. 3 is a schematic diagram of a system and an optical path diagram of the present invention in which a projector 6 and a reflective geometric holographic screen 8 are respectively located at two sides of an auxiliary imaging screen 7;
fig. 4 is a schematic diagram of the system and an optical path diagram of the present invention in which two reflective geometric holographic screens 8 are respectively located at two sides of the auxiliary imaging screen 7;
FIG. 5 is a schematic diagram of the system with the addition of the interactive motion capture unit 31 and the eye tracking unit 32 to that of FIG. 2;
fig. 6 is a schematic diagram of the system of the present invention, which is added with the optical folding lens assembly 11 on the same side of the projector 6 based on fig. 2;
fig. 7 is a schematic diagram of the system of the present invention, which is based on fig. 6 and adds an optical folding lens assembly 11 on the other side of the auxiliary imaging screen 7;
FIG. 8 is a schematic diagram of the reflected light path of light rays at mutually perpendicular surfaces, i.e., right-angle reflecting walls;
FIG. 9 is a schematic diagram of a reflective geometric holographic screen 8 with a right triangle cross-section, with a portion of the reflective film 84 hidden;
fig. 10 is a retro-reflection optical path diagram of the columnar-element prism 81 included in fig. 8 for light rays not parallel to the cross section;
FIG. 11 is a schematic view of a reflective geometric holographic screen 8 having a cross-section of a pentagon of a combination of rectangles and right triangles with a portion of the reflective film 84 hidden;
fig. 12 is a retro-reflection optical path diagram of the columnar-element prism 81 included in fig. 10 for light rays not parallel to the cross section;
fig. 13 is a schematic view of several kinds of viewpoint configurations displayed off the screen according to the present invention;
fig. 14 is a schematic configuration diagram of a multi-view system according to the present invention;
FIG. 15 is a schematic view of a space beyond 0.1m from the outermost lens of the projection lens;
FIG. 16 is a schematic diagram of a coordinate system (X ', Y ', Z ') in which an ellipsoidal visual space exists;
the reference numbers are as follows:
the device comprises a holographic projector 1, a projection screen 2, an interactive response unit 3, a processor 4, a motion executing mechanism 5, a projector 6, an auxiliary imaging screen 7, a reflective geometric holographic screen 8, a columnar element prism 81, a transparent layer 82, a reflecting layer 83, a reflecting film 84, a supporting structure 9, a controller 10, an optical path folding mirror group 11, an interactive action capturing unit 31 and a human eye tracking unit 32.
Detailed Description
In order to make the technical solution of the present invention better understood, the present invention is described in detail below with reference to the accompanying drawings, and the description of the present invention is only exemplary and explanatory, and should not be construed as limiting the scope of the present invention.
It should be noted that: like reference numbers and letters refer to like items in the following figures, and thus, once an item is defined in one figure, it need not be further defined and explained in subsequent figures.
It should be noted that the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", and the like refer to the orientation or positional relationship shown in the drawings, or the orientation or positional relationship that the utility model is usually placed when in use, and are used for convenience of description and simplification of description, but do not refer to or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus, should not be construed as limiting the present invention. Furthermore, the terms "first," "second," "third," and the like are used solely to distinguish one from another and are not to be construed as indicating or implying relative importance.
Furthermore, the terms "horizontal", "vertical", "overhang" and the like do not imply that the components are required to be absolutely horizontal or overhang, but may be slightly inclined. For example, "horizontal" merely means that the direction is more horizontal than "vertical" and does not mean that the structure must be perfectly horizontal, but may be slightly inclined.
In the description of the present invention, it should also be noted that, unless otherwise explicitly specified or limited, the terms "disposed," "mounted," "connected," and "connected" are to be construed broadly, e.g., as meaning either a fixed connection, a removable connection, or an integral connection; can be mechanically or electrically connected; they may be connected directly or indirectly through intervening media, or they may be interconnected between two elements. The specific meaning of the above terms in the present invention can be understood in specific cases to those skilled in the art.
Referring to fig. 2 to 7, the present invention provides a reflective geometric holographic display system, comprising at least one projector 6, an auxiliary imaging screen 7, a reflective geometric holographic screen 8, a support structure 9 and a controller 10;
the projector 6 is used for projecting picture information in space, the utility model can directly adopt a holographic projector as the projector 6 to realize 3D display;
it is also possible to use a common projection device capable of projecting a two-dimensional picture to project the two-dimensional picture on a certain focal plane in space, and then adjust the depth of field and the picture content of the two-dimensional picture through the controller 10. Generally, 3D film sources in a cinema are in the form of a stereo image pair, and a 3D effect is expressed by binocular parallax, but the actual picture focal depth is fixed at one position, so that visual fatigue is caused. The utility model discloses a system is because projection and the burnt depth of focus are adjustable, so can remove reasonable position to the picture equivalent burnt depth of focus to avoided the problem that 3D burnt depth and actual burnt depth are different, demonstrate more lifelike 3D effect. Compared with a holographic projector serving as the projector 6, the method can effectively reduce the cost, and particularly, the common projection equipment can be a common projector;
for example, a common projection device may be further optically designed to realize 3D display on the basis of a single projector, and reference may be made to an all-solid-state holographic projector with application number 202010029144.5, and a technical scheme of realizing three-dimensional picture display by adding some optical elements inside the projector for optical design is not specifically limited herein;
the auxiliary imaging screen 7 is used for light splitting, and is preferably a semi-transparent and semi-reflective film, after the projection light of the projector 6 irradiates the auxiliary imaging screen 7, part of the light is reflected to the reflective geometric holographic screen 8, the light randomly irradiating the reflective geometric holographic screen 8 is reflected back in the original direction through the modulation of the reflective geometric holographic screen 8, and the reflected light partially penetrates through the auxiliary imaging screen 7 and forms a projection picture away from the screen in the air;
the reflection type geometric holographic screen 8 is used for reflecting incident rays which are irradiated to the reflection type geometric holographic screen and are not parallel to the cross section at other angles, the incident rays can be reflected back after the rays are shifted by a distance dmm, d is the distance from the intersection point of the emergent rays and the incident surface of the reflection type geometric holographic film to the incident rays, d is less than or equal to 2mm (generally, for a giant film similar to a cinema, a user is far away from the screen, so that the image point deviation is not easy to distinguish by human eyes of 2mm, a clear picture can still be displayed, but if the deviation is too large, the image quality can be influenced), a flexible holographic screen is preferred, and the number of the reflection type geometric holographic screen 8 is one or two: when the number of the reflection type geometric holographic screens 8 is one, the reflection type geometric holographic screens are arranged on any side of the auxiliary imaging screen 7; when the number of the reflection type geometric holographic screens 8 is two, the reflection type geometric holographic screens are respectively arranged on two sides of the auxiliary imaging screen 7, and when the system comprises 2 reflection type geometric holographic screens 8, the light energy utilization rate and the imaging quality of the system are high.
Preferably, as shown in fig. 9 to 12, the reflective geometric hologram 8 is internally provided with a series of pentagonal columnar element prisms 81 having a cross section of a right triangle or a combination of a rectangle and a right triangle, preferably an isosceles right triangle;
the transparent layers 82 and the reflecting layers 83 which are arranged at intervals are arranged in the columnar element prism 81 along the length direction, the structure can be obtained by a two-dimensional processing mode from top to bottom, the processing technology is extremely simple, the processing precision is very high, and the imaging quality is excellent;
the bottom surface of the columnar element prism 81 is a light incident surface, the reflecting layer 83, the end surface of the columnar element prism 81 and the inclined plane where the right-angle side of the cross section is located are reflecting surfaces, and the inclined plane where the right-angle side of the cross section of the columnar element prism 81 is located is provided with a layer of reflecting film 84 for performing mirror reflection on light;
alternatively, a reflection film 84 that reflects light may be provided on an end surface of the columnar element prism 81 as a reflection surface, and if the end surface of the columnar element prism 81 is the reflection layer 83 during the processing, it is not necessary to plate the reflection film 84 on the end surface of the reflection layer 83, and the reflection layer 83 itself has a function of specular reflection of light.
In addition, in the prism 81 having a pentagonal columnar element with a rectangular cross section and a right-angled triangular cross section, the interior of the right-angled triangular prism may be free of the reflective layer 83, and this structure also achieves retroreflection of light.
The error range of the angle involved in the cross section of the cylindrical prism is within ± 5 °, including the right angle of the right triangle and the pentagon of the cross section and the angle between the transparent layer 82 and the reflective layer 83 and the length direction of the cylindrical prism 81, although the above principle is implemented based on the ideal geometry, in practical cases, the processing may not produce the perfect geometry, the angle may have a certain error, and the vertex may not be an ideal geometric point but a round corner with a very small radius. When the manufacturing error is small, the direction of the reflected light slightly deviates from the ideal retroreflection situation, the deviations cannot be distinguished by human eyes, and the aberration caused by the errors is very small, so that the good imaging effect can be realized.
For example, when the included right angle error of the cross section of the columnar prism 81 is within ± 5 °, the user experience is relatively satisfactory, and when the included right angle error is out of this range, the user starts to feel that the imaging effect is not acceptable. Also the geometrical apex allows for a relatively small rounded corner (e.g. less than 0.1mm radius), then a relatively good imaging function can be achieved as well. Of course, the smaller the error, the higher the user rating, so the error should be reduced as much as possible in production.
Of course, the smaller the error, the higher the user rating, so the error should be reduced as much as possible in production. Similar machining tolerances apply for the cutting direction and the bonding direction.
When the method is applied specifically, when the angle error of the living room application is within +/-2.5 degrees, the user experience is relatively satisfactory;
when the angle error of the desktop application is within +/-1 degree, the user experience is relatively satisfactory;
when the angle error of the mobile terminal application is within +/-0.5 degrees, the user experience is relatively satisfactory.
The supporting structure 9 is respectively matched with the projector 6, the auxiliary imaging screen 7 and the reflective geometric holographic screen 8, so as to provide physical structural support for the three, specifically, the supporting structure 9 can be made into a supporting frame with a fixed structure, at the moment, the whole display system of the utility model is fixed, and a user can observe a picture only in a fixed direction;
the controller 10 is electrically connected with the projector 6, and the projector 6 can adjust the depth of field and the picture content of the projected picture according to the control signal of the controller 10;
description of the principle of retroreflection: as shown in fig. 8, when a light beam is irradiated on two reflecting walls forming a right angle, after two reflections, the emergent light beam will propagate along a direction parallel to the incident light beam. When the right-angle reflecting wall is small enough, the distance between the emergent ray and the incident ray is also very small and cannot be distinguished by human eyes, and the visual effect is just like the ray returning in the original path. Of course, the two-dimensional in-plane right-angle reflecting wall can only reflect the light in the plane in the original path, and if a right-angle triangular pyramid-structured reflecting wall can be formed in the space, the light in the space can be reflected in the original path.
The pentagon with the cross section of a right-angled triangle or a combination of a rectangle and the right-angled triangle has a plurality of right-angled reflecting walls, including the right-angled reflecting walls formed by two inclined planes of the columnar prism 81 and the right-angled reflecting walls formed by the inclined planes and the reflecting layer 83 or the end face of the columnar prism 81, so that the microstructure unit has the function of performing original path reflection on spatial light, and if a plurality of microstructures are densely arranged on one plane, large-area incident light can be subjected to original path reflection.
As shown in fig. 10, when any light ray not parallel to the cross section of the columnar prism 81 is incident on the reflective layer 83 or the end reflective film 84 of the columnar prism 81 from the incident surface, the light ray is reflected to an adjacent inclined surface by one time, reflected to another inclined surface by the second time of the reflective film 84 coated on the inclined surface, and reflected back in parallel to the incident direction after being shifted dmm by the third time of the reflective film 84 coated on the inclined surface, and the retro-reflected light rays can be subjected to 3D imaging;
similarly, as shown in fig. 12, when any light beam not parallel to the cross section of the columnar prism 81 is incident on the reflective layer 83 or the reflective film 84 on the end surface of the columnar prism 81 from the incident surface, it can be reflected back for 3D imaging after multiple reflections;
for the incident light parallel to the cross section of the columnar prism 81, the light-induced retro-reflection 3D imaging can be realized by two reflections of two inclined planes according to the light path principle of fig. 8.
As shown in fig. 5, as a preferred solution, the holographic display system of the present invention further includes an interaction capturing unit 31 electrically connected to the controller 10, the interaction capturing unit 31 is configured to recognize an interaction of a user and send user interaction information to the controller 10, the controller 10 adjusts display screen content according to the received user interaction information obtained by the interaction capturing unit 31, so as to implement the interaction between the user and the screen, specifically, a camera is used in combination with a machine vision technology to recognize a gesture of the user to obtain the interaction information of the user, so as to control the support structure 9 to move to adjust the spatial position and the posture of the projection device and/or the auxiliary imaging screen 7, the controller 10 can also adjust the display screen content in real time according to the received user interaction information obtained by the interaction capturing unit 31, the method includes the steps that interaction between a user and a picture is achieved, for example, the picture is controlled to translate according to a translation gesture signal, or operations such as amplification, zooming-in, zooming-out and touch of the picture are controlled according to other corresponding interaction;
the setting of the interactive motion capture unit 31 has positive significance for application scenarios like wearable applications where the spatial position of the user relative to the display system is fixed;
in addition, for an application scenario that the spatial position of the user changes in real time relative to the display system, a human eye tracking unit 32 electrically connected to the controller 10 needs to be arranged, the human eye tracking unit 32 is used for tracking the position of human eyes and sending the positioning information of the human eyes to the controller 10, and the controller 10 controls the support structure 9 to make a corresponding action response according to the received human eye positioning information acquired by the human eye tracking unit 32, so as to adjust the relative position and/or the overall spatial position of the projector 6 and the auxiliary imaging screen 7, so that the user's eyes are always in the visible space of the system, and thus the user's eyes can always receive the projection information even in a moving state and normally watch the picture.
In practical applications, the human eye tracking unit 32 and the interactive motion capture unit 31 may be integrated in the same device, for example, a machine vision camera device is used.
In order to increase the flexibility of the display system, the support structure 9 may be a movable or deformable structure, the support structure 9 and the controller 10 are electrically connected, the support structure 9 performs corresponding response actions according to the control information of the controller 10, so as to implement relative movement and/or overall movement among the projector 6, the auxiliary imaging screen 7 and the reflective geometric holographic screen 8, so that the visual window of the system always covers the eyes of the user, so that the user can normally view the image in different orientations, it should be noted that the support structure 9 is a general prior art, and those skilled in the art can design themselves according to the spatial conditions of the practical application, for example: the deformable structure can be easily designed by using a plurality of hinge structures and structures similar to the umbrella shaft, and is not particularly limited;
as shown in fig. 6 and 7, in order to further improve the flexibility of the system, an optical path folding mirror group 11 may be further disposed on one side or both sides of the auxiliary imaging screen 7, and the optical path folding mirror group 11 at least includes a reflecting mirror, so that the imaging optical path can be adjusted to adapt to various application space scenes. For the holographic display system comprising the optical path folding mirror group 11, the relative or integral motion among the projector 6, the auxiliary imaging screen 7, the reflective geometric holographic screen 8 and the optical path folding mirror group 11 can be simultaneously controlled through the supporting structure 9 so as to adjust in real time, and the normal watching of a user is ensured.
When a common projector is used as the projector 6, the controller 10 sends the picture and the average focal depth information of the picture to the projector, and the projector adjusts the projection focal depth by itself, so that the projector can project the picture to a specific focal depth position for the human eyes to watch.
It should be noted that a common projector generally has an auto-focusing function, and when the projector is started, the projector measures the distance from the screen to the projector according to a built-in distance sensor, and then drives a lens to adjust to a proper position, so that the projection focal depth coincides with the screen; the utility model discloses a also can get rid of its distance sensor from the area in the system, thereby make controller 10 directly send the depth of focus data to the realization of projector to the control of projection depth of focus, concrete implementation is current ripe hardware communication technology, does not do here and gives unnecessary details.
Take the utility model discloses a 6 projectors as the example and explain:
as shown in fig. 2, the projector 6 and a reflective geometric holographic screen 8 are located on the same side of the auxiliary imaging screen 7, a part of a projection light of the projector 6 is irradiated onto the reflective geometric holographic screen 8 through the split light of the auxiliary imaging screen 7, and after the light is reflected back by the reflective geometric holographic screen 8, the original direction is reflected back and passes through the auxiliary imaging screen 7, and a display picture off the screen is formed on the other side of the auxiliary imaging screen 7, so that a human eye can view the display picture through a window as shown in the figure;
as shown in fig. 3, the projector 6 and a reflective geometric holographic screen 8 are respectively located at two sides of the auxiliary imaging screen 7, a projection light of the projector 6 partially passes through the auxiliary imaging screen 7 and then irradiates onto the reflective geometric holographic screen 8, after retro-reflection of the reflective geometric holographic screen 8 to the light, the original direction is reflected and the light is split by the auxiliary imaging screen 7, a display picture separated from the screen is formed in space, and human eyes can view the display picture through a window as shown in the figure;
it is easy to find from the optical path principles of fig. 2 and fig. 3 that when the auxiliary imaging screen 7 is a transflective film, the energy utilization rate of light is only 1/4, and some special optical designs such as polarization + wave plate schemes can be used to improve the energy utilization rate, so that the energy utilization rate can be greatly improved, and the specific design scheme is a general knowledge in the art and is not described herein again. In addition, as shown in fig. 4, a scheme of two reflective geometric holographic screens 8 may also be adopted, that is, two reflective geometric holographic screens 8 are respectively arranged on two sides of the auxiliary imaging screen 7, so that the light energy utilization rate (doubled) and the imaging quality of the system can be effectively improved.
It should be noted that the above is merely an example of the present invention and is not a limitation of the present invention, and the same applies to the case where there are a plurality of projectors 6 as shown in fig. 14.
Reflection type geometry holographic display system compare with traditional display system and have a very special place, it can't supply a large amount of users to watch simultaneously like traditional 2D display device, for the convenient expression, introduce the notion of viewpoint here:
if the display system can provide a viewing window for one eye, the system has a point of view. For a binocular display system, two eyes can watch simultaneously, so the number of viewpoints is 2. When the display system is available for n eyes to view simultaneously, the number of viewpoints is n. In actual design, the structure of the system needs to be reasonably set under the condition of considering practicability.
As shown in fig. 13, in case a, corresponding to the use of a large-aperture projector, the outermost lens of the projector can cover both eyes of the user with respect to the optical conjugate area (also called a viewing window) of the auxiliary imaging screen 7, and although the area between the two eyes can also be used for viewing images in principle, it is impossible to use the projector in practical conditions, and only two eyes can be used for viewing simultaneously, so that the situation is equivalent to two viewpoints;
in the case of b to d, the projection optics of the two projectors form two separate sub-areas with respect to the optically conjugate area of the auxiliary imaging screen 7, corresponding to the use of two small-aperture projectors. When the distance between the two sub-regions is exactly matched with the distance between the human eyes, the two eyes can watch the images simultaneously (b situation), so that two viewpoints exist;
when the interval between two sub-regions is smaller than the interval between human eyes (c case) or larger than the interval between human eyes (d case), only one of the two eyes can view an image and thus only one viewpoint.
As shown in fig. 14, when the number of projectors is larger, the number of viewpoints of the system is increased accordingly, the specific number is determined according to the specific situation of a to d, and the number of viewpoints of the display system is n, which is related to the size and number of lenses of the adopted projectors.
Similarly, the spatial position relationship among users under the use situation needs to be considered when the multi-user system is designed, the spatial distribution condition among all windows is reasonably designed, and the condition that the actual available viewpoint of the system is smaller than the design viewpoint is avoided. An effective design strategy is to design the support structure 9 reasonably to have a structure adjusting function, for example, the distance or the spatial position between two projectors can be adjusted, so that the geometric form of the support structure 9 can be flexibly adjusted according to the interpupillary distance of a user and an application field to adapt to actual requirements when the projector is used.
It should be noted that, when the projection system is switched to the 2D projection mode in a downward compatible manner (for example, a projection focal plane of the projector is adjusted to directly project a 2D picture on the reflective geometric holographic screen 8, or a common projection receiving screen is used to replace or be placed on the front surface or the rear surface of the reflective geometric holographic screen 8 to perform receiving display of the 2D projection picture), the image focal plane coincides with the screen, the number of viewpoints is greatly increased, but these viewpoints have great viewing limitations, only the picture on the screen can be viewed, and the off-screen picture output by the display system cannot be viewed, so that the number of viewpoints cannot be counted into the number of real viewpoints, and the actual effective viewpoint should be a viewpoint capable of viewing the picture in all modes of the system.
The conventional 2D display devices, such as televisions, projectors, computers, etc., have a large number of viewpoints, and can be viewed by many users at the same time, because the light emitted from the light source has high divergence and no directivity, and thus has a high requirement on brightness. But to the utility model discloses a holographic display system, the viewpoint number is all less, the light that its display device (like holographic projector or ordinary projecting apparatus) sent can very the efficient collect the window position and be received by people's eye, consequently if the light intensity causes dizzy too strongly easily, the image is unclear, cause the injury to people's eye even, too high luminous flux often needs the light source (like the inside bulb of projecting apparatus, LED lamp etc.) to move under the high power simultaneously, and the long-term service life of light source operation under the high power mode will reduce by a wide margin, so the luminous flux can not design too high. However, as the number of the viewpoints increases, the total luminous flux of the display system also needs to be increased to ensure that each viewpoint can provide a clear picture.
Reflection type geometric holography display system's viewpoint number be n, projector 6 outside the mean value of the printing opacity partial diameter of lens be D decimeter (dm), projector 6's average display luminous flux is L lumen (lm), shows luminous flux visual dot product and is n1.27L, taken together, combined with the actual test effect, shows that the luminous flux viewpoint product satisfies: n is1.27When L is not more than 24000, a relatively good display effect can be ensuredAnd reliability of the system.
The method for measuring the display luminous flux l (lm) of the projector 6 may refer to the test method of ANSI lumens:
1) the distance between the projector and the screen in the display system is set as follows: 2.4 meters;
2) screen is 60 inches;
3) measuring the illuminance of each point on nine cross points in the shape of the Chinese character 'tian' on the screen by using an illuminometer, and calculating the average illuminance of 9 points;
4) the average illuminance multiplied by the projection screen area is the ANSI lumens, i.e. the display luminous flux of the present invention.
For different displayed pictures, the test value of L may have a large difference, and in the actual test, a full white picture is preferably displayed for testing, that is, each pixel is displayed as white;
when the illumination area of the projector cannot be well matched with the screen, the illumination test is carried out according to the actual illumination area to carry out a point taking test, preferably 8 points and 1 point in the illumination area, wherein the 8 points and the 1 point are uniformly selected in a light band which is within 10-30 cm of the illumination area from the outer boundary of the illumination area, the distance from the center of the screen is not more than 20cm, the illumination test is carried out on 9 points in total, and then the average value of the 9 illumination values is multiplied by the actual area of the illumination area to obtain a display light flux value.
For an application case containing only one projector 6, the display luminous flux may be tested in the above manner (the display luminous flux of a single projector is the same as the average display luminous flux), and when a plurality of projectors are used, the luminous flux of each projection unit may be tested separately and then averaged to serve as the value of the display luminous flux.
In addition, in an actual test, different design structures (such as differences in sealing and heat dissipation) also have a more significant influence on the service life of the system, so that in the actual test process, different design structures may bring certain fluctuation to actually measured data, but the overall trend does not change, and the optimal value of the display configuration parameter does not change.
The invention is further illustrated by the following examples:
in the system of the following embodiment, the projectors 6 are all common projectors, and the reflective geometric holographic screens 8 and the projectors 6 are both located on the same side of the auxiliary imaging screen 7;
example 1: a projector with a lens diameter of 0.5dm is adopted as the projector 6, and the viewpoint number n is 1, so that a single user can use a single eye to watch;
typically the number of user eyes is even, the number of viewpoints n is set to be even:
examples 2 to 24: 1 projector with a lens diameter larger than 6.5dm or 2 projectors with a lens diameter smaller than 6.5dm is adopted as the projector 6, and the viewpoint number n is 2, so that the projector can be watched by two eyes of a single user;
example 25: 4 projectors with the lens diameter of 0.4dm are used as the projectors 6, and the number n of system viewpoints is 4, so that the projectors can be used for a double user to watch simultaneously;
example 26: 6 projectors with the lens diameter of 0.3dm are adopted as the projectors 6, the number of viewpoints n is 6, and three families can watch the projectors simultaneously;
example 27: 8 projectors with the lens diameter of 0.2dm are adopted as the projectors 6, and four people watch the projectors simultaneously;
comparative example 1: a projector with a lens diameter of 8dm is used as the projector 6 for the single user to view with both eyes, as shown in the following table:
the data for examples 1-27 show that: display luminous flux visual point product n1.27When L is not more than 24000, the display effect is good, the user scores are all over 80 points, and the luminous flux visual point product n is displayed in comparative example 11.27L is 31351, the user score is low, the picture is dazzling, and the actual display effect is not good enough.
In practical use, in addition to the design relationship between the number of viewpoints n and the light flux L, matching between the projector aperture size and the light flux is also required. When the aperture of the projector is large, the visual utilization rate of the display light is low, and many light rays can only reach the region outside the human eyes, so that the light flux needs to be increased appropriately at this time, and according to the application of the above embodiments 1 to 27, the following expression can be referred to for design in practical application:
based on the influence of the light source power on the display effect and reliability of the system. The life of the light source inside the projector 6 tends to be greatly reduced when it is operated in the high power mode, thus making it possible to operate it in the low power mode. However, when the number of viewpoints is large or when the aperture of a single projector is large, the visual utilization rate of the display light is low, and many light rays can only reach the area outside the human eyes, so that the power of the light source needs to be increased appropriately to improve the luminous flux at this time, and the average value of the power of the projection light source of the projector included in the projector 6 is P watts (W), which is found by the test that the system can operate under an optimal condition when the following relation is satisfied:
the measurement of the light source power P of the projection device can directly test the voltage at two ends of the light source and the current passing through the light source in the normal working state, and then multiply to obtain the power value.
On the basis of the embodiments 1 to 27, the light source power p (w) is introduced for explanation, which is specifically shown in the following table:
the data show that: power apparent dot productThe display effect is better, the user scores are more than 80 points, and the power in comparative example 1 is according to the dot product679, the user score is low, the picture is dazzling, and the actual display effect is not good enough. Furthermore, a light source power of less than 400W is generally sufficient for a 5 year design life.
The general projector used in the above embodiment may be replaced with a holographic projector or other projection device capable of realizing three-dimensional picture display. While the above-mentioned design formulas relating to the number of viewpoints, the power of the light source and the display luminous flux are also used for the holographic projector.
In addition, practical tests show that 3000 hours can still work normally in the high-temperature and high-humidity environment (85 ℃ and 85% relative humidity) accelerated tests of examples 1-27, and a light source is damaged and cannot emit light in the comparative example 1 at 3000 hours, so that the service life can be greatly shortened due to unreasonable design parameters, the tests are commonly called double 85 aging tests, and the 3000 hour accelerated aging test is equivalent to the minimum service life standard of 5 years under the actual working condition.
The utility model discloses a show the principle: the projector 6 can project pictures at different depths in space, that is, extra depth of field information can be provided for the projected pictures, but the pictures projected by the projector 6 are all divergent light and cannot be directly viewed by human eyes, which is also the reason that a conventional projection system must use a receiving screen. And the utility model discloses a reflection-type geometric sense holographic screen 8 has the former way contrary reflective function of light that makes to shine on it. The auxiliary imaging screen 7 is a transflective film with a light splitting function. Thus, after the light emitted by the projector 6 irradiates the auxiliary imaging screen 7, part of the light is reflected to the reflection type geometric holographic screen 8, due to the retro-reflection function of the reflection type geometric holographic screen 8, the light can return in the original way (or approximately return in the original way), the returned light passes through the auxiliary imaging screen 7 again, and part of the light penetrates through the auxiliary imaging screen 7 to form a converged off-screen projection picture in the air, at the moment, if human eyes are in the mirror image position of the projector 6 relative to the auxiliary imaging screen (the human eyes can normally see the complete projection picture only in a small area of the mirror image position of the projector relative to the auxiliary imaging screen), the image can be observed.
Follow the utility model discloses a show principle analysis and can discover, the picture that the user saw when using is unanimous with the picture that 6 projectors throwed away completely. How far away the projector 6 projects the picture from its outermost lens, and how far away the user sees the picture from the eyes. In life, the photopic distance of human eyes is generally 25cm, and the distance for watching the nearest object is generally 10cm, so that the projector 6 can be preferably used for selecting a projector (a common projector or a holographic projector) with the projection focal depth capable of being adjusted in a space (such as figure 15) more than 0.1m away from the outer surface of the outermost lens of the projection lens.
When the user is in a static state, the user can normally watch the picture only by adjusting the system structure to enable the eyes of the user to be covered by the window, but if the user is in a moving state, the eyes can be easily separated from the window, so that the user cannot normally watch the picture. Therefore, for an application scenario in which the user cannot be completely in a static state, it is very important to increase the eye-positioning tracking of the user and then adjust the spatial position of the window in real time so that the window always covers the eyes of the user. However, in an actual scene, the parameters of components of the display system are different, and it is difficult to find a set of tracking mode suitable for all systems. In principle, it is the most ideal solution if the user's eye movement track can be very accurately positioned, and then the window is driven to accurately track the user's eye movement track by adjusting the relative position and the overall spatial position between the projector and the transmissive geometric holographic screen. However, it is very difficult to track the user's eyes and control the position of the window accurately, and even if it is realized, it is not practical.
In fact, because the window has a certain size, human eyes can view the picture only in the window, so that the user does not need to completely and accurately track the movement track of the user's eyes during movement as long as the user's eyes can be approximately tracked and guaranteed to be in the window, even if the user's eyes slightly deviate from the window, but the picture can be normally viewed even if the pupils intersect with the window.
The above discussion is mainly directed to the situation that the user moves up and down left and right relative to the screen, and in addition, when the user moves back and forth, the user can completely and normally view the picture without deviating from the center of the window too much. In summary, the tracking of the user's eyes does not need to be particularly accurate, and the use requirement can be met only by ensuring a certain accuracy. The light rays above and below the screen have an intersected rhombic area, and in principle, a picture can be observed only by adjusting the support structure in real time to enable the eyes of a user to be always in the rhombic visual space, but the problem of tracking loss is easily caused at the position close to the corner of the rhombus, so that a relatively small ellipsoid visual area is further limited in the rhombic area, and the probability of tracking loss is reduced.
As shown in fig. 16, the ellipsoid area is a space in which an ellipsoid visible space is a coordinate system (X, Y, Z) in which the center of the outermost lens of the lens of each projector 6 is an origin, the outer normal of the lens center is a Y-axis direction, a straight line passing through the origin and perpendicular to the horizontal plane is an X-axis, and a straight line passing through the origin and perpendicular to the X-axis and the Y-axis is a Z-axis, and which satisfies the following relational expression after optical transformation is performed in an optically conjugate coordinate system (X ', Y ', Z '):
wherein K is an expansion constant with the unit of dm and the range of K is more than 0 and less than 0.08;
m is a conjugate deviation constant, and m is within the range of 0-5.
The coordinate system (X ', Y ', Z ') is a conjugate image finally formed after the coordinate system (X, Y, Z) is converted by the optical system, the above expression is a space surrounded by an ellipsoid, and the value of m affects the length of the ellipsoid in the Y-axis direction. As can be seen from the schematic diagram 16, the visual space has a certain extension in the Y ' axis direction, and practical tests show that the certain extension length of the visual space in the Y ' axis direction is about 6 times of the lens diameter D, and a clear picture can be seen in this range, but in consideration of the tracking effect, a better display effect can be easily achieved in the range that the extension length in the Y ' axis direction is less than 5 times of the lens diameter. In addition, practical tests found that:
when m is 5, all display areas of the picture can be clearly seen, and only in a local boundary area, the picture is slightly poor in definition but can still clearly distinguish display details;
when m is 3, all display areas of the picture can be clearly seen, the picture is clear even in a boundary area, and the tracking stability is very good;
when m is 2, the whole display range of the picture is complete, the display details are very clear, the tracking stability is good, and the tracking device is suitable for desktop office scenes due to occasional loss;
when m is 1, the whole display range of the picture is complete, the display details are very clear, the tracking stability is slightly poor, the tracking loss frequency is increased to a certain extent, and the method is suitable for viewing and entertainment application scenes;
k and D determine the cross section of a visual space in a plane vertical to the Y' axis, and in principle, a picture can be observed within the diameter range of the projection lens, and in fact, as long as human eyes are intersected with the optical conjugate area of the projection lens, even if people can see the picture without being completely within the optical conjugate area of the projection lens, an expansion constant K is introduced, the numerical value of the expansion constant K depends on the diameter size of human eyes, usually, the maximum value of the diameter of pupils of the human eyes is 0.08dm, and therefore, 0.08dm is taken as the expansion constant.
Although mathematically m may not take the value 0, taking 0 here has a physical meaning, i.e. a point on a plane where Y' is all equal to 0.
The utility model discloses can select the same model completely when using a plurality of projectors (ordinary projecting apparatus or holographic projector), also can choose different models for use according to the practical application scene demand.
The utility model discloses display system because the depth of focus degree of depth is adjustable, can avoid the user to watch the visual fatigue that fixed depth of focus picture caused for a long time to avoid the emergence of myopia, can improve the eyesight level.
The utility model discloses can be used for fixed demonstration, like official working, the audio-visual, the on-vehicle demonstration in family room etc. also can realize field such as small and exquisite removal demonstration and head-mounted demonstration.
The utility model discloses can suitably increase some antireflection coatings during the implementation, optical element such as light absorbing film, light filter further promotes system's effect.
The foregoing is a more detailed description of the present invention, taken in conjunction with the specific preferred embodiments thereof, and it is not intended that the invention be limited to the specific embodiments shown and described. To the utility model belongs to the technical field of ordinary technical personnel, do not deviate from the utility model discloses under the prerequisite of design, can also make a plurality of simple deductions or replacement, all should regard as belonging to the utility model discloses a protection scope.
Claims (12)
1. A reflective geometric holographic display system, comprising:
at least one projector (6) for projecting picture information in space;
an auxiliary imaging screen (7) for splitting light;
one reflection type geometrical holographic screen (8) is arranged at one side of the auxiliary imaging screen (7) or two reflection type geometrical holographic screens are respectively arranged at two sides of the auxiliary imaging screen (7);
the supporting structure (9) is respectively matched with the projector (6), the auxiliary imaging screen (7) and the reflective geometric holographic screen (8) to provide physical structural support for the projector, the auxiliary imaging screen and the reflective geometric holographic screen;
a controller (10) electrically connected to the projector (6);
the number of viewpoints of the reflective geometric holographic display system is n, the mean value of the diameters of the light transmission parts of the outermost lenses of the projector (6) is D decimeters, the mean value of the projection light source power of the projector (6) is P watts, and the requirements are as follows:
2. the reflective geometry holographic display system of claim 1, wherein: the average value of the display luminous flux of the projector (6) is L lumens, and the number n of viewpoints of the reflective geometric holographic display system satisfies the following conditions:
n1.27·L≤24000。
3. the reflective geometry holographic display system of claim 2, wherein: the number n of viewpoints of the reflective geometric holographic display system and the average value L lumen of the display luminous flux of the projector (6) and the average value D decimeter of the diameter of the light transmission part of the outermost lens of the projector (6) meet the following conditions:
4. a reflective geometry holographic display system according to any of claims 1 to 3, wherein: the reflection type geometric holographic screen (8) is a flexible holographic screen, a series of pentagonal columnar elementary prisms (81) with right-angled triangles or a combination of rectangles and right-angled triangles are arranged in the reflective geometric holographic screen, a plurality of transparent layers (82) and reflecting layers (83) which are arranged at intervals are arranged in the columnar elementary prisms (81) along the length direction, and a reflecting film (84) is arranged on an inclined plane where the right-angled side of the right-angled triangle contained in the cross section of the columnar elementary prisms (81) and used for performing mirror reflection on light;
the cross section of the columnar element prism (81) is a right angle included by a right triangle or a pentagon combined by a rectangle and the right triangle, and the error range of the angle between the transparent layer (82) and the reflecting layer (83) and the length direction of the columnar element prism (81) is within +/-5 degrees.
5. The reflective geometry holographic display system of claim 4, in which: and in the cylindrical elementary prism (81) which is pentagonal and has a rectangular and right-triangular cross section, the interior of the right-triangular prism does not contain a reflective layer (83).
6. The reflective geometry holographic display system of claim 1, wherein: and the auxiliary imaging screen also comprises at least one light path folding mirror group (11) arranged on one side or two sides of the auxiliary imaging screen (7) and used for adjusting the light path.
7. The reflective geometry holographic display system of claim 1, wherein: the projector (6) adopts a common projection device capable of projecting a two-dimensional picture or a holographic projection device capable of projecting a three-dimensional picture or a two-dimensional picture group distributed in different depths of a space.
8. The reflective geometry holographic display system of claim 7, wherein: the projection focal depth of the projector (6) is adjustable in a space which is 0.1m away from the outermost lens of the projector (6) and is beyond 0.1m away from the outermost lens.
9. The reflective geometry holographic display system of claim 1, wherein: the supporting structure (9) is a deformable or movable structure and is electrically connected with the controller (10), and the controller (10) can control the deformation or movement of the supporting structure (9), so that the relative movement and/or the overall movement among the projector (6), the auxiliary imaging screen (7) and the reflective geometric holographic screen (8) are realized.
10. The reflective geometry holographic display system of claim 9, wherein: the device is characterized by further comprising an interactive action capturing unit (31) electrically connected with the controller (10), wherein the interactive action capturing unit (31) is used for identifying the interactive action of the user and sending the interactive action information of the user to the controller (10), and the controller (10) adjusts the content of the display picture according to the received interactive action information of the user acquired by the interactive action capturing unit (31).
11. The reflective geometry holographic display system of claim 10, wherein: the system is characterized by further comprising a human eye tracking unit (32) electrically connected with the controller (10), wherein the human eye tracking unit (32) is used for tracking the position of human eyes and sending the positioning information of the human eyes to the controller (10), and the controller (10) controls the supporting structure (9) to make corresponding action response according to the received human eye positioning information acquired by the human eye tracking unit (32) so as to adjust the relative positions and/or the overall spatial positions of the projector (6), the auxiliary imaging screen (7) and the reflective geometric holographic screen (8), so that the user eyes are always in the visual space of the system.
12. The reflective geometry holographic display system of claim 11, wherein: the visual space is a space which takes the center of the outermost lens of a projector (6) as an origin, the outer normal of the center of the lens as the direction of a Y axis, a straight line passing through the origin and perpendicular to a horizontal plane as an X axis, and a straight line passing through the origin and perpendicular to the X axis and the Y axis as a Z axis under a series of optically-converted optically-conjugated coordinate systems (X ', Y ', Z '), and meets the following relational expressions:
wherein K is an expansion constant with unit of decimeter and the range of K is more than 0 and less than 0.08;
m is a conjugate deviation constant, and m is within the range of 0-5.
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Address after: 448000 building c2-b1, No.39 Jingnan Avenue, Duodao District, Jingmen City, Hubei Province Patentee after: JINGMEN CITY DREAM EXPLORING TECHNOLOGY Co.,Ltd. Address before: 448000 shops 101, 201-111211118, 218-128 and 228, 1F and 2F, building c5-5, Renmin Wanfu business city, 201 Peigong Avenue, Duodao District, Jingmen City, Hubei Province Patentee before: JINGMEN CITY DREAM EXPLORING TECHNOLOGY Co.,Ltd. |