CN110161826A - A kind of algorithm for computing holography - Google Patents
A kind of algorithm for computing holography Download PDFInfo
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- CN110161826A CN110161826A CN201910410730.1A CN201910410730A CN110161826A CN 110161826 A CN110161826 A CN 110161826A CN 201910410730 A CN201910410730 A CN 201910410730A CN 110161826 A CN110161826 A CN 110161826A
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- 238000001093 holography Methods 0.000 title claims abstract description 24
- 238000004422 calculation algorithm Methods 0.000 title claims abstract description 11
- 238000000034 method Methods 0.000 claims abstract description 20
- 230000003287 optical effect Effects 0.000 claims abstract description 19
- 238000009826 distribution Methods 0.000 claims abstract description 11
- 238000003860 storage Methods 0.000 claims abstract description 9
- 238000005070 sampling Methods 0.000 claims description 15
- 230000005540 biological transmission Effects 0.000 claims description 4
- 238000001228 spectrum Methods 0.000 claims description 4
- 238000005293 physical law Methods 0.000 claims description 3
- 238000004519 manufacturing process Methods 0.000 abstract description 4
- 230000015572 biosynthetic process Effects 0.000 abstract description 2
- 238000003786 synthesis reaction Methods 0.000 abstract description 2
- 238000005516 engineering process Methods 0.000 description 5
- 238000006243 chemical reaction Methods 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 230000000007 visual effect Effects 0.000 description 2
- 240000007594 Oryza sativa Species 0.000 description 1
- 235000007164 Oryza sativa Nutrition 0.000 description 1
- 238000012952 Resampling Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 210000005252 bulbus oculi Anatomy 0.000 description 1
- 230000001413 cellular effect Effects 0.000 description 1
- 230000001427 coherent effect Effects 0.000 description 1
- 239000003086 colorant Substances 0.000 description 1
- 238000010276 construction Methods 0.000 description 1
- 230000010365 information processing Effects 0.000 description 1
- 239000004973 liquid crystal related substance Substances 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 239000011159 matrix material Substances 0.000 description 1
- 235000009566 rice Nutrition 0.000 description 1
Classifications
-
- G—PHYSICS
- G03—PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
- G03H—HOLOGRAPHIC PROCESSES OR APPARATUS
- G03H1/00—Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
- G03H1/04—Processes or apparatus for producing holograms
- G03H1/08—Synthesising holograms, i.e. holograms synthesized from objects or objects from holograms
- G03H1/0866—Digital holographic imaging, i.e. synthesizing holobjects from holograms
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- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Holo Graphy (AREA)
Abstract
The present invention discloses a kind of algorithm for computing holography, belongs to projection art.Specifically includes the following steps: S1: the acquisition to object light information；S2: the processing to object light information；S3: the optical field distribution in hologram plane is indicated with computed hologram transmitance according to coding method；S4: the record storage and reproduction of hologram.Computing holography of the invention can be not against the object of necessary being, it is only necessary to obtain the specific mathematical description of object wave, so that it may computed hologram is obtained using computer and output equipment, it, can be more convenient when production intends regular script hologram with synthesis 3D.
Description
Technical field
The invention belongs to projection arts, more particularly to a kind of algorithm for computing holography.
Background technique
The full three-dimensional of projection image, institute may be implemented in line holographic projections technology.Line holographic projections technology is gathered with completely new visual angle
The eyeball of people, this books show that we are to utilize this new technique.Envisioning scene is by the books of 3 D stereo
Picture is suspended in the air, and effect has very strong depth feelings, and also very also false, and allow people's feel is very peculiar.Observer passes through
The apperances of available books different directions is observed at each different visual angle.
Holography forms different achievements in different developing stage, its classification is more, have traditional optical holography,
Digital holography, computing holography, computing holography is specific to 3D display field, and there are many kinds of methods again for the reproduction of object.
But traditional optical holographic is to need by being really existing object, is required the selection of books pattern and content
It is higher.
Summary of the invention
The present invention is to solve technical problem present in above-mentioned background technique, provide it is a kind of do not depend on existing object and
Realize a kind of algorithm for computing holography of holography.
The present invention is achieved through the following technical solutions: a kind of algorithm for computing holography specifically includes following step
It is rapid:
S1: the acquisition to object light information；
S2: the processing to object light information；
S3: the optical field distribution in hologram plane is indicated with computed hologram transmitance according to coding method；
S4: the record storage and reproduction of hologram；
Wherein, the S2 is specifically further comprising the steps of:
S201: sampling, the sampling to the abstract of image and to hologram, when need to realize new record, transmission and
When processing, this continuous function is indicated with discrete function value point set or its sample value:
It samples to f (x, y), the function after sampling is fs(x, y),
That is:
Input picture area: (Δ x)2,
Frequency band area: (Δ v)2,
That is N=(Δ x Δ v)2
S202: it calculates, the optical field distribution in hologram plane is found out with physical law.
In a further embodiment, scanner or digital camera are used for the object of physical presence in the S1
Carry out data acquisition；For practical not existing object, by object, direct keyboard inputs computer in the form of function.
In a further embodiment, the coding method in the S3 is as follows:
Establish following formula: hi(x, y)=Ci[f (x, y)]
Wherein, hi(x, y): the holographic function of computed hologram, this function are real value nonnegative function, f (x, y): input
Space complex function, C: the figure shift of coding, i: different coding methods；
If object function is the expression of (m, n) a sample point, using coding formula:
Wherein, HmnFor height；(m, n) is sampled point；For sampled point phase；AmnFor amplitude；
Then the amplitude and phase of the frequency spectrum before complex wave are encoded by the position of the height of rectangular opening and rectangular opening.
In a further embodiment, in the S4 using spatial light modulator carry out hologram record storage with again
It is existing.
Beneficial effects of the present invention: since principle of holography and computer technology have been carried out splendid knot by computing holography
It closes, compared to traditional optical holographic, computing holography can be not against the object of necessary being, it is only necessary to obtain the specific of object wave
Mathematical description, so that it may obtain computed hologram using computer and output equipment, intend regular script hologram in production and synthesis 3D
When, it can be more convenient, it is created by some 3 d modeling softwares such as Auto CAD, SolidWorks and record one more closes
Suitable books model, very high freedom degree is possessed for the selection of books pattern and content.And nowadays spatial light modulator phase
Pass technology is gradually matured, can effectively realize that the storage of hologram reproduces, and smoothly completes corresponding hologram production, realizes
Real-time dynamic color Three-dimensional Display effect.
Specific embodiment
In the following description, a large amount of concrete details are given so as to provide a more thorough understanding of the present invention.So
And it is obvious to the skilled person that the present invention may not need one or more of these details and be able to
Implement.In other examples, in order to avoid confusion with the present invention, for some technical characteristics well known in the art not into
Row description.
The present invention discloses a kind of algorithm for computing holography, specifically includes: to the acquisition of object light information, believing object light
Optical field distribution in hologram plane is indicated note with hologram according to coding method by the processing of breath with computed hologram transmitance
Address book stored and reproduction.
Acquisition to object light information: for the object of physical presence, scanner or digital camera can directly be utilized
Data acquisition is carried out, and for practical not existing object, the functional form direct keyboard of object can be inputted computer.This
Place is operated using books material object to be shown later period holography and causes certain difficulty, and one reality of preferential selection design is not deposited
Object, that is, redesign a books.
Processing to object light information: 1. sampling, it contains abstract and to hologram the sampling to image.Digital meter
A kind of form that machine information processing is information is calculated, discrete data can only be handled.When need to realize new record, transmission
And when processing, this continuous function is indicated with discrete function value point set or its sample value.
Object function needs discretization, and Unit numbers is generally taken to be no more than the space-bandwidth product of object.It is taken out when just all meeting
When sample theorem, object plane and the number of sampling points in spectrum face are identical, and are equal to space-bandwidth product, so can determine input
Number of sampling points sum on image and hologram plane is identical.
It samples to f (x, y), the function after sampling is fs(x, y),
That is:
Input picture area: (Δ x)2,
Frequency band area: (Δ v)2,
That is N=(Δ x Δ v)2
The image that can be generally stored in computer with picture format just has been realized in the discrete of image sampling, determines
Its size and space broadband product can be carried out the conversion in the sampling interval of image and the sampling interval of hologram.Since 3D is quasi- true
It is the virtual book being designed using computer that books, which make starting point, so the step for must being sampled.
2. calculating: this process will calculate optical field distribution of the object function in hologram plane, be found out with physical law
Hologram plane distribution of amplitudes.
Light wave reaches the light field complex amplitude function of hologram from object, is to have corresponded to the variation of object function, and in difference
Hologram in changing content it is also different.
There are many method it can be selected that Fourier transform hologram, Fresnel hologram can be used, as full when calculating
The methods of breath is calculated, while being assisted with computer.Wherein, what is used in computer-generated hologram is scalar wave diffraction reason
By it is that light wave is regarded as to scalar wave to carry out processing calculating.It can be sent out simultaneously by ray tracing in the graphics of computer
Carry out the production of computed hologram.
The optical field distribution in hologram plane is indicated with computed hologram transmitance according to coding method: being two-dimensional multiple
It is that distribution of amplitudes is for conversion into hologram and be transmitance distribution.
This process: h is indicated with mathematical formulaei(x, y)=Ci[f (x, y)]
Wherein, hi(x, y): the holographic function of computed hologram, this function are real value nonnegative function, f (x, y): input
Space complex function, C: the figure shift of coding, i: different coding methods；
If object function is the expression of (m, n) a sample point, using coding formula:
Wherein, HmnFor height；(m, n) is sampled point；For sampled point phase；AmnFor amplitude；
Then the amplitude and phase of the frequency spectrum before complex wave are encoded by the position of the height of rectangular opening and rectangular opening.
The record storage and reproduction of hologram: after the coding for terminating books computed hologram, suitable optical reproduction is found
Size and mode computed hologram is exported accordingly.We select high-resolution spatial light modulator directly to adjust
The image of end-of-encode processed.Select the size of each sampling unit in micron dimension as far as possible.Since computed hologram is usual
Use optical means obtain wave-front reconstruction, so storage when also allow for this problem, allow storage means therewith
It is adapted.Although relatively convenient using traditional complotter, it is contemplated that the hologram image of former books apperance is in projection
Need picture and text all clearly it is necessary to guarantee that hologram size is not limited by map delivery device, selection is using pixel dimension micro- herein
Rice magnitude, pixel number be more than million, with high-resolution electrical addressing spatial light modulator, use it to replacing holographic dry plate,
More effectively realize the output and dynamic reproduction of completed books hologram.
Spatial light modulator (SLM) is the information input and real-time display device of a kind of PLC technology, it can pass through
Spatial light modulator shows many kinds of function to the spatial modulation of laser beam in real time.Spatial light modulator can be in three-dimensional space
Among directly throw light and formed a little, effectively load the information into the device in one-dimensional or two-dimensional optical data field,
Incoherent light is converted to coherent light, further realizes hologram image generation.The hologram that it can generate computer is empty
Between the dot matrix cellular construction of optical modulator carry out resampling so that the information of computed hologram stores in for reproducing.
It distributed the pixel of micron dimension on the working region of SLM, each pixel can provide independent light field
Modulation.SLM can load hologram, reproduce the wavefront of the original Object light wave recorded in hologram, realize original objects three-dimensional figure
The reproduction of picture will be loaded on SLM by hologram, so that it may reappear the stereo-picture designed out.Utilize spatial light modulator
Be very suitable for carry out hologram Dynamically Announce because its unit pixel it is often the case that liquid crystal etc electric control gear, institute
Corresponding dynamic modulation may be implemented.
After SLM and computer are attached, make books hologram to meet the transmission of former optical projection system rgb signal, it
Hologram is output to optics by computer afterwards.It needs to complete the process such as figure, successively puts them on optical platform, first connect
Laser power supply is connect, then the data line of connection space optical modulator and computer and power supply adaptor, by CCD and computer
It is attached, the display of hologram can be realized.
In addition, including a large amount of cromograms in book, obtaining coloured silk because it is representative that the Classic of Mountains and Rivers is selected in the quasi- true design of this 3D
Color hologram image, it is also necessary to make.It can be by grating and filter, by the red, blue, green of colour transparency
Information coding be recorded on a black and white film, colored hologram is then made using one-wavelength laser.We need first to use
Rainbow holography is obtained by red, blue, green formed three primary colours rainbow holograms.Use white light transmittant again later, it is available
The true color holography picture of original color figure, so, it also needs to further strengthen in later design practical operation perfect.
Dynamic hand gesture recognition and computer-generated hologram image generate the committed step for being through three mode capabilities in real time, therefore
They are placed on before three modes by we, and complete step design is shown, it is ensured that whole process is without a doubt.
It is further to note that specific technical features described in the above specific embodiments, in not lance
In the case where shield, it can be combined in any appropriate way.In order to avoid unnecessary repetition, the present invention to it is various can
No further explanation will be given for the combination of energy.
Claims (4)
1. a kind of algorithm for computing holography, which is characterized in that specifically includes the following steps:
S1: the acquisition to object light information；
S2: the processing to object light information；
S3: the optical field distribution in hologram plane is indicated with computed hologram transmitance according to coding method；
S4: the record storage and reproduction of hologram；
Wherein, the S2 is specifically further comprising the steps of:
S201: sampling, the sampling to the abstract of image and to hologram, when needing to realize new record, transmission and processing
When, this continuous function is indicated with discrete function value point set or its sample value:
It samples to f (x, y), the function after sampling is fs(x, y),
That is:
Input picture area: (Δ x)2,
Frequency band area: (Δ v)2,
That is N=(Δ x Δ v)2
S202: it calculates, the optical field distribution in hologram plane is found out with physical law.
2. a kind of algorithm for computing holography according to claim 1, which is characterized in that for practical in the S1
Existing object carries out data acquisition using scanner or digital camera；For practical not existing object, by object
Direct keyboard inputs computer in the form of function.
3. a kind of algorithm for computing holography according to claim 1, which is characterized in that the coding staff in the S3
Method is as follows:
Establish following formula: hi(x, y)=Ci[f (x, y)]
Wherein, hi(x, y): the holographic function of computed hologram, this function are real value nonnegative function, and f (x, y): the space of input is multiple
Value function, C: the figure shift of coding, i: different coding methods；
If object function is the expression of (m, n) a sample point, using coding formula:
Wherein, HmnFor height；(m, n) is sampled point；For sampled point phase；AmnFor amplitude；
Then the amplitude and phase of the frequency spectrum before complex wave are encoded by the position of the height of rectangular opening and rectangular opening.
4. a kind of algorithm for computing holography according to claim 1, which is characterized in that use space in the S4
The record storage and reproduction of optical modulator progress hologram.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN111176091A (en) * | 2020-03-06 | 2020-05-19 | 姚俊宇 | 3D holographic animal model projection method |
| CN116931363A (en) * | 2023-09-18 | 2023-10-24 | 光科芯图(北京)科技有限公司 | Mask optimization method, device and exposure equipment |
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| CN108241278A (en) * | 2016-12-26 | 2018-07-03 | 上海盟云移软网络科技股份有限公司 | A kind of making of computed hologram and reproducting method |
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| WO2017196885A1 (en) * | 2016-05-10 | 2017-11-16 | The Regents Of The University Of California | Method and device for high-resolution color imaging using merged images from holographic and lens-based devices |
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| CN111176091A (en) * | 2020-03-06 | 2020-05-19 | 姚俊宇 | 3D holographic animal model projection method |
| CN116931363A (en) * | 2023-09-18 | 2023-10-24 | 光科芯图(北京)科技有限公司 | Mask optimization method, device and exposure equipment |
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