CN114778080A - Mirror distortion detection method, system, device and medium - Google Patents

Mirror distortion detection method, system, device and medium Download PDF

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CN114778080A
CN114778080A CN202210360542.4A CN202210360542A CN114778080A CN 114778080 A CN114778080 A CN 114778080A CN 202210360542 A CN202210360542 A CN 202210360542A CN 114778080 A CN114778080 A CN 114778080A
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fringe
phase
brightness
mirror surface
pixels
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邹须竹
刘挺
刘树文
卢迪文
李军利
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Hunan Chiopt Optical Technology Co ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M11/00Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
    • G01M11/02Testing optical properties
    • G01M11/0242Testing optical properties by measuring geometrical properties or aberrations
    • G01M11/0257Testing optical properties by measuring geometrical properties or aberrations by analyzing the image formed by the object to be tested

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Abstract

The invention discloses a mirror distortion detection method, a system, equipment and a medium, comprising the following steps: the method comprises the steps of obtaining a plurality of phase fringe images, obtaining a real fringe image of a measured mirror surface according to the phase fringe images by utilizing a fringe reflection method, reflecting deformation information of each point, solving the problem of omission, calculating the brightness of pixels of the real fringe image, calculating a phase diagram of the measured mirror surface according to a three-step phase shift method by utilizing the brightness of the pixels of the real fringe image, obtaining the distortion of the measured mirror surface according to the phase diagram, and quantifying the distortion of the measured mirror surface.

Description

Mirror distortion detection method, system, device and medium
Technical Field
The present invention relates to the field of mirror detection technologies, and in particular, to a method, a system, a device, and a medium for detecting mirror distortion.
Background
Distortion is an important indicator of the optical system. The distortion directly affects the geometric position accuracy of the imaging target and has a decisive factor for the identification of images and the like. In order to ensure the positional accuracy of information in an image for identification and calculation, an optical system such as an objective lens is required to correct distortion as much as possible in optical design, and also to perform precise distortion measurement on an actual optical system, to verify whether the system is acceptable and to provide correction in use.
At present, most of reflector distortion detection is carried out manually, the distortion of a mirror surface is detected by observing the nonuniformity of a reflected pattern of a reflector through human eyes, the distortion area of the mirror surface is found by observing the deformation of a reflected pattern grid, the distortion size cannot be determined, multi-angle observation is needed, and the efficiency is low.
Disclosure of Invention
The present invention is directed to at least solving the problems of the prior art. Therefore, the invention provides a mirror distortion detection method, which comprises the steps of obtaining a real object fringe pattern of a detected mirror surface according to a phase fringe pattern by using a fringe reflection method; and calculating the distortion of the measured mirror surface according to the real object fringe pattern.
In a first aspect of the present invention, a mirror distortion detection method is provided, including the following steps:
acquiring a plurality of phase fringe images;
a real object fringe pattern of the phase fringe pattern reflected by the measured mirror surface is obtained by utilizing a fringe reflection method;
calculating the brightness of the pixels of the real object fringe image;
calculating a phase diagram of the measured mirror surface by using the brightness of the pixels of the real object fringe diagram and according to a three-step phase shift method;
and obtaining the distortion of the measured mirror surface according to the phase diagram.
According to the embodiment of the invention, at least the following technical effects are achieved:
the method comprises the steps of obtaining a plurality of phase fringe images, obtaining a real fringe image of a measured mirror surface according to the phase fringe images by utilizing a fringe reflection method, reflecting deformation information of each point, solving the problem of omission, then calculating the brightness of pixels of the real fringe image, calculating a phase image of the measured mirror surface according to a three-step phase shift method by utilizing the brightness of the pixels of the real fringe image, obtaining the distortion of the measured mirror surface according to the phase image, and quantifying the distortion of the measured mirror surface.
According to some embodiments of the invention, the plurality of phase fringe images are a plurality of fringe images of different densities in an x direction or a y direction in pixel coordinates.
According to some embodiments of the invention, the calculating the brightness of the pixels of the real object fringe pattern comprises:
calculating the brightness of the pixels of the real object fringe image by the following formula:
Figure BDA0003584977070000021
Figure BDA0003584977070000022
wherein, the ω is0The phase fringe image period is, N is the number of the phase fringe images, I is the brightness of the pixels of the real fringe image, x and y are pixel coordinates, a (x, y) is the background value of the light intensity of the phase fringe, b (x, y) is the modulation intensity of the light intensity of the phase fringe, and t is the serial number of the phase fringe image.
According to some embodiments of the invention, the truncated phase fringe period of the tth phase fringe image is
Figure BDA0003584977070000023
Wherein, f is a constant and takes a value of 1 or 10 or 100.
According to some embodiments of the present invention, where N is 3, the calculating the phase map of the measured mirror surface using the brightness of the pixels of the real fringe image and according to the three-step phase shift method includes:
obtaining a plurality of equation sets according to a three-step phase shift method:
Figure BDA0003584977070000031
Figure BDA0003584977070000032
Figure BDA0003584977070000033
wherein, the I1For the brightness of the pixels of the real fringe image obtained from the first phase fringe image, I2For the brightness of the pixels of the real fringe image obtained from the second phase fringe image, I3The brightness of the pixel of the real object fringe image obtained according to the third phase fringe image;
calculating a phase formula of the real object fringe pattern according to the multiple equation sets:
Figure BDA0003584977070000034
and calculating to obtain a phase diagram of the measured mirror surface according to the phase formula and the multiple equation sets.
According to some embodiments of the invention, the measured mirror surface is any reflective object.
In a second aspect of the present invention, the present invention provides a mirror distortion detection system, including the following modules:
the data acquisition module is used for acquiring a plurality of phase fringe images;
the fringe reflection module is used for obtaining a real object fringe pattern of the phase fringe image reflected by the measured mirror surface by utilizing a fringe reflection method;
the brightness calculation module is used for calculating the brightness of the pixels of the real object fringe image;
the data calculation module is used for calculating a phase diagram of the measured mirror surface by utilizing the brightness of the pixels of the real object fringe diagram and according to a three-step phase shift method;
and the data output module is used for obtaining the distortion of the measured mirror surface according to the phase diagram.
According to some embodiments of the invention, the plurality of phase fringe images are a plurality of fringe images of different densities in an x direction or a y direction in pixel coordinates.
The system can reflect deformation information of each point by acquiring a plurality of phase fringe images and acquiring a real fringe image of the measured mirror surface according to the phase fringe images by utilizing a fringe reflection method, so that the problem of omission is solved, then the brightness of pixels of the real fringe image is calculated, the phase image of the measured mirror surface is calculated by utilizing the brightness of the pixels of the real fringe image and according to a three-step phase shift method, the distortion of the measured mirror surface is acquired according to the phase image, and the distortion of the measured mirror surface can be quantized.
In a third aspect, the present invention provides a mirror distortion detection apparatus comprising at least one control processor and a memory for communicative connection with the at least one control processor; the memory stores instructions executable by the at least one control processor to enable the at least one control processor to perform a method of mirror distortion detection as described above.
In a fourth aspect, the present invention provides a computer-readable storage medium having stored thereon computer-executable instructions for causing a computer to perform mirror distortion detection as described above.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
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The above and/or additional aspects and advantages of the present invention will become apparent and readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
FIG. 1 is a schematic flow chart illustrating a mirror distortion detection method according to an embodiment of the present invention;
FIG. 2 is a schematic flow chart of a mirror distortion detection system according to another embodiment of the present invention;
FIG. 3 is a plurality of fringe images with different densities in the x direction of a mirror distortion detection method according to another embodiment of the present invention;
FIG. 4 is a plurality of stripe images with different densities in the y direction of a mirror distortion detection method according to another embodiment of the present invention;
FIG. 5 is a schematic diagram of a plurality of object stripes with different densities in the x direction according to another embodiment of the present invention;
FIG. 6 is a y-direction fringe image of a plurality of objects with different densities according to another embodiment of the present invention;
FIG. 7 is a schematic diagram illustrating the phase in the x-direction of a mirror distortion detection method according to another embodiment of the present invention;
fig. 8 is a schematic phase diagram of a mirror distortion detection method in the y direction according to another embodiment of the present invention.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention and are not to be construed as limiting the present invention.
In the description of the present invention, it should be noted that, unless otherwise explicitly specified or limited, the terms "mounted," "connected," and "connected" are to be construed broadly and may be, for example, fixedly connected, detachably connected, or integrally connected; 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 meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art.
At present, most of reflector distortion detection is carried out manually, the distortion of a mirror surface is detected by observing the nonuniformity of a reflected pattern of a reflector through human eyes, the distortion area of the mirror surface is found by observing the deformation of a reflected pattern grid, the distortion size cannot be determined, multi-angle observation is needed, and the efficiency is low.
Referring to fig. 1, the present invention provides a mirror distortion detection method, including the steps of:
and step S101, acquiring a plurality of phase fringe images.
And step S103, obtaining a real object fringe pattern of the reflection phase fringe image of the detected mirror surface by using a fringe reflection method.
And step S105, calculating the brightness of the pixels of the real object fringe pattern.
And S107, calculating a phase diagram of the measured mirror surface by using the brightness of the pixels of the real fringe diagram and according to a three-step phase shift method.
And step S109, obtaining the distortion of the measured mirror surface according to the phase diagram.
In some embodiments, in step S101, the plurality of phase fringe images are a plurality of fringe images with different densities in the x direction or the y direction in the pixel coordinates.
In some embodiments, in step S103, obtaining a real fringe image of the measured mirror reflection phase fringe image by using a fringe reflection method includes: and sequentially reflecting the multiple phase fringe images to the target camera through the measured mirror surface by utilizing a fringe reflection method to obtain a real object fringe pattern of the measured mirror surface.
In some embodiments, in step S105, calculating the brightness of the pixel of the real object fringe pattern includes:
the brightness of the pixels of the real object fringe pattern is calculated by the following formula:
Figure BDA0003584977070000061
Figure BDA0003584977070000062
wherein, ω is0The period of the phase image, N the number of the phase fringe images, I the brightness of the pixels of the real fringe image, x, y the pixel coordinates, a (x, y) the background value of the intensity of the phase fringe, and b (x, y) the modulation intensity of the phase fringeAnd t is the number of the phase fringe image, wherein the number t of the first phase fringe image is 0.
In some embodiments, the truncated phase fringe period of the tth phase fringe image is
Figure BDA0003584977070000071
Wherein f is a constant and takes a value of 1 or 10 or 100.
In some embodiments, taking N as 3, the step S107 of calculating the phase map of the measured mirror surface by using the brightness of the pixels of the real fringe pattern and according to the three-step phase shift method includes the steps of:
step S1071, obtaining a plurality of equation sets according to a three-step phase shift method:
Figure BDA0003584977070000072
Figure BDA0003584977070000073
Figure BDA0003584977070000074
wherein, I1For the brightness of the pixels of the real fringe image obtained from the first phase fringe image, I2Brightness of pixels of the real fringe image obtained from the second phase fringe image, I3The brightness of the pixels of the real fringe image obtained according to the third phase fringe image.
Step S1072, calculating a phase formula of the real object fringe pattern according to a plurality of equation sets:
Figure BDA0003584977070000075
and S1073, calculating according to the phase formula and a plurality of equation sets to obtain a phase diagram of the measured lens surface.
In some embodiments, the measured mirror surface is any reflective object.
To facilitate understanding by those skilled in the art, the following provides a set of preferred embodiments:
referring to fig. 3 to 4, the screen and the camera are placed above the measured mirror surface to obtain a plurality of phase fringe images; the phase fringe images are fringe images with different densities in the x direction or the y direction in pixel coordinates.
Referring to fig. 5 to 6, a plurality of phase fringe images are sequentially reflected to a target camera through a measured mirror surface by a fringe reflection method to obtain a real object fringe image of the measured mirror surface;
the brightness of the pixels of the real object fringe pattern is calculated by the following formula:
Figure BDA0003584977070000081
Figure BDA0003584977070000082
wherein, ω is0The phase fringe image period is N, the phase fringe image number is N, I is the brightness of the pixel of the real fringe image, x and y are pixel coordinates, a (x, y) is the background value of the phase fringe light intensity, b (x, y) is the modulation intensity of the phase fringe light intensity, t is the number of the phase fringe image, wherein the number t of the first phase fringe image is 0, and the intercepted phase fringe period of the tth phase fringe image is
Figure BDA0003584977070000083
Wherein f is a constant and takes a value of 1 or 10 or 100.
Taking N as 3, and obtaining a plurality of equation sets according to a three-step phase shift method:
Figure BDA0003584977070000084
Figure BDA0003584977070000085
Figure BDA0003584977070000086
wherein, I1For the brightness of the pixels of the real fringe image obtained from the first phase fringe image, I2For the brightness of the pixels of the real fringe image obtained from the second phase fringe image, I3The brightness of the pixels of the real fringe image obtained according to the third phase fringe image.
Calculating a phase formula of the real object fringe pattern according to a plurality of equation sets:
Figure BDA0003584977070000091
and calculating to obtain a phase diagram of the measured mirror surface according to the phase formula and a plurality of equation sets.
Referring to fig. 7 to 8, the distortion magnitude of the measured mirror surface is obtained from the phase map.
The method comprises the steps of obtaining a plurality of phase fringe images, obtaining a real fringe image of a measured mirror surface according to the phase fringe images by utilizing a fringe reflection method, reflecting deformation information of each point, solving the problem of omission, then calculating the brightness of pixels of the real fringe image, calculating a phase image of the measured mirror surface according to a three-step phase shift method by utilizing the brightness of the pixels of the real fringe image, obtaining the distortion of the measured mirror surface according to the phase image, and quantifying the distortion of the measured mirror surface.
Based on the above embodiments, referring to fig. 2, the present embodiment further provides a mirror distortion detection system, which includes a data acquisition module 1001, a fringe reflection module 1002, a brightness calculation module 1003, a data calculation module 1004, and a data output module 1005:
the data acquiring module 1001 is configured to acquire a plurality of phase fringe images.
The fringe reflection module 1002 is configured to obtain a real fringe pattern of the reflection phase fringe image of the measured mirror surface by using a fringe reflection method.
The brightness calculation module 1003 is configured to calculate the brightness of the pixel of the real object fringe pattern.
The data calculating module 1004 is used for calculating the phase diagram of the measured mirror surface by utilizing the brightness of the pixels of the real fringe diagram and according to a three-step phase shifting method.
The data output module 1005 is used for obtaining the distortion of the measured mirror surface according to the phase diagram.
In some embodiments, the plurality of phase fringe images are a plurality of fringe images of different densities in the x-direction or the y-direction in pixel coordinates.
The system can reflect deformation information of each point by acquiring a plurality of phase fringe images and obtaining a real fringe image of the measured mirror surface according to the phase fringe images by utilizing a fringe reflection method, solves the problem of omission, then calculates the brightness of pixels of the real fringe image, calculates the phase image of the measured mirror surface by utilizing the brightness of the pixels of the real fringe image and according to a three-step phase shift method, obtains the distortion of the measured mirror surface according to the phase image, and can quantify the distortion of the measured mirror surface.
It should be noted that the system embodiment provided by this embodiment and the method embodiment described above are based on the same inventive concept, and therefore, the related contents of the method embodiment are also applicable to this system embodiment, and are not described herein again.
An embodiment of the present application provides a mirror distortion detection apparatus; the device may be any type of smart terminal such as a cell phone, tablet, personal computer, etc. Specifically, the apparatus includes: one or more control processors and memory, in this example a control processor. The control processor and memory may be connected by a bus or other means, in this example by a bus.
Memory, which is a non-transitory computer-readable storage medium, may be used to store non-transitory software programs, non-transitory computer-executable programs, and modules, such as program instructions/modules corresponding to the electronic device in the embodiments of the present invention; the control processor implements a mirror distortion detection method of the above method embodiments by running non-transitory software programs, instructions, and modules stored in the memory. The memory may include a storage program area and a storage data area, wherein the storage program area may store an operating system, an application program required for at least one function; further, the memory may include high speed random access memory, and may also include non-transitory memory, such as at least one disk storage device, flash memory device, or other non-transitory solid state storage device. In some embodiments, the memory optionally includes memory located remotely from the control processor, and these remote memories may be connected to the electronic device via a network. Examples of such networks include, but are not limited to, the internet, intranets, local area networks, mobile communication networks, and combinations thereof. One or more modules are stored in the memory and, when executed by the one or more control processors, perform a method of mirror distortion detection in the above-described method embodiments.
Embodiments of the present invention also provide a computer-readable storage medium storing computer-executable instructions, which are executed by one or more control processors, for example, may cause the one or more control processors to execute a mirror distortion detection method in the above method embodiments.
Through the above description of the embodiments, those skilled in the art will clearly understand that the embodiments may be implemented by software plus a general hardware platform. Those skilled in the art will appreciate that all or part of the processes in the methods of the above embodiments may be implemented by hardware related to instructions of a computer program, and the program may be stored in a computer readable storage medium, and when executed, may include the processes of the embodiments of the methods described above. The storage medium may be a magnetic disk, an optical disk, a Read Only Memory (ROM), a Random Access Memory (RAM), or the like.
In the description of the present specification, reference to the description of "one embodiment," "some embodiments," "an illustrative embodiment," "an example," "a specific example," or "some examples" or the like means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present invention. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
While embodiments of the present invention have been shown and described, it will be understood by those of ordinary skill in the art that: various changes, modifications, substitutions and alterations can be made to the embodiments without departing from the principles and spirit of the invention, the scope of which is defined by the claims and their equivalents.

Claims (10)

1. A mirror distortion detection method is characterized by comprising the following steps:
acquiring a plurality of phase fringe images;
a real object fringe pattern of the phase fringe pattern reflected by the measured mirror surface is obtained by utilizing a fringe reflection method;
calculating the brightness of the pixels of the real object fringe image;
calculating a phase diagram of the measured mirror surface by using the brightness of the pixels of the real fringe diagram and according to a three-step phase shift method;
and obtaining the distortion of the measured mirror surface according to the phase diagram.
2. The method of claim 1, wherein the plurality of phase fringe images are a plurality of fringe images of different densities in an x direction or a y direction in pixel coordinates.
3. The method of claim 2, wherein the calculating the brightness of the pixels of the real object fringe pattern comprises:
calculating the brightness of the pixel of the real object fringe image by the following formula:
Figure FDA0003584977060000011
Figure FDA0003584977060000012
wherein, the ω is0The phase fringe image period is, N is the number of the phase fringe images, I is the brightness of the pixels of the real fringe image, x and y are pixel coordinates, a (x, y) is the background value of the light intensity of the phase fringe, b (x, y) is the modulation intensity of the light intensity of the phase fringe, and t is the serial number of the phase fringe image.
4. The method of claim 3, wherein the truncated phase fringe period of the t-th phase fringe image is
Figure FDA0003584977060000013
Wherein, f is a constant and takes a value of 1 or 10 or 100.
5. The method as claimed in claim 4, wherein N is 3, and the calculating the phase map of the measured mirror surface using the brightness of the pixels of the real fringe pattern and according to the three-step phase shift method comprises:
obtaining a plurality of equation sets according to a three-step phase shift method:
Figure FDA0003584977060000021
Figure FDA0003584977060000022
Figure FDA0003584977060000023
wherein, the I1For the brightness of the pixels of the real fringe image obtained from the first phase fringe image, I2For the brightness of the pixels of the real fringe image obtained from the second phase fringe image, I3The brightness of the pixel of the real object fringe image obtained according to the third phase fringe image;
calculating a phase formula of the real object fringe pattern according to the multiple equation sets:
Figure FDA0003584977060000024
and calculating to obtain a phase diagram of the measured mirror surface according to the phase formula and the multiple equation sets.
6. A method for detecting distortion of a mirror surface as claimed in claim 1, wherein said measured mirror surface is any reflective object.
7. A mirror distortion detection system, comprising:
the data acquisition module is used for acquiring a plurality of phase fringe images;
the fringe reflection module is used for obtaining a real object fringe pattern of the phase fringe image reflected by the measured mirror surface by utilizing a fringe reflection method;
the brightness calculation module is used for calculating the brightness of the pixels of the real object fringe image;
the data calculation module is used for calculating a phase diagram of the measured mirror surface by utilizing the brightness of the pixels of the real object fringe diagram and according to a three-step phase shift method;
and the data output module is used for obtaining the distortion of the measured mirror surface according to the phase diagram.
8. The system of claim 7, wherein the phase fringe images are fringe images of different densities in x-direction or y-direction of pixel coordinates.
9. A mirror distortion detection apparatus comprising at least one control processor and a memory for communicative connection with the at least one control processor; the memory stores instructions executable by the at least one control processor to enable the at least one control processor to perform a method of detecting specular distortion as claimed in any of claims 1 to 6.
10. A computer-readable storage medium characterized by: the computer-readable storage medium stores computer-executable instructions for causing a computer to perform a mirror distortion detection method according to any one of claims 1 to 6.
CN202210360542.4A 2022-04-07 2022-04-07 Mirror distortion detection method, system, device and medium Pending CN114778080A (en)

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