CN110488590A - A kind of three-dimension object color rendering methods based on phase recovery - Google Patents
A kind of three-dimension object color rendering methods based on phase recovery Download PDFInfo
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Classifications
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- 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
- G03H1/16—Processes or apparatus for producing holograms using Fourier transform
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- 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
- G03H1/22—Processes or apparatus for obtaining an optical image from holograms
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- 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
- G03H1/22—Processes or apparatus for obtaining an optical image from holograms
- G03H1/2249—Holobject properties
- G03H2001/2252—Location of the holobject
- G03H2001/2255—Holobject out of Fourier or hologram planes
Abstract
The present invention provides a kind of three-dimension object color rendering methods based on phase recovery, comprising the following steps: step 1, to image objects and acquire three colored plot of light intensity of image planes and image planes two sides；Step 2, using centrally located colored plot of light intensity as primary iteration face, remaining two width colour plot of light intensity obtains initial phase of the primary iteration face under red, green and blue channel as second and third iteration face, by light intensity transmission equation TIE；Step 3, the recovery phase in primary iteration face is obtained by the angular spectrum alternative manner based on GS and obtains best iterative phase；Step 4, the COMPLEX AMPLITUDE in remaining iteration face is obtained and the light distribution that is restored by the COMPLEX AMPLITUDE in Angular Spectrum Transfer Function and primary iteration face；Step 5, light distribution superposition will be restored, obtain rebuilding colored light intensity, Rapid Circulation loads phase diagram on transmission phase type SLM, carries out phase and amplitude modulation to incident light, that is, reproduce one section of image planes depth, realizes 3D effect.
Description
Technical field
The invention belongs to three-dimension object reproducing technology fields, and in particular to a kind of three-dimension object based on phase recovery is colored
Reproducting method.
Background technique
The simulation building of line holographic projections and actual environment is confined to about the development of object dimensional reproducing technology at present, the former
Be related to the efficient assignment problem of memory with the record problem of diffraction because interfering, splice the technical operation problem now referred to again and at
This problem makes it that cannot be widely used at present, and holographic imaging truly is because projection medium is unstable and laser imaging
The reasons such as noise control difficulty be difficult to obtain high-resolution display.Hologram production is needed than common camera shooting processing 100
Times or more information content, to shooting and processing and transmission platform be proposed very high requirement.The each section of hologram is all
The optical information of each point on object is had recorded, so its each section can reproduce the whole image of the original in principle, by more
Secondary exposure can also record multiple and different images on same egative film, and can show respectively without interfering with each other.Afterwards
Person is not 3-d reproduction truly.The diffraction light wave of object diffraction information is carried in addition to recording with the reference interference of light
Outside image information, its phase can also be directly sought, is transmitted in conjunction with angular spectrum, we propagate arbitrary face in optical path by available diffracted wave
Image complete information, so as to reconstructed object three-D profile.The research of wavefront reconstruction at present is in non-interfering detection method
Effect is very big, but what it utilized is laser imaging, is related to reluctant noise problem, and experiment restoration result precision is low, reaches
The resolution requirement reproduced less than 3D.
Summary of the invention
The present invention is to carry out to solve the above-mentioned problems, and it is an object of the present invention to provide a kind of three-dimensional article based on phase recovery
Sports lottery ticket color reproduction method.
The present invention provides a kind of three-dimension object color rendering methods based on phase recovery, have the feature that, wrap
It includes following steps: step 1, white light imaging being carried out to object by imaging len, and place tri- color of RGB in image planes and filter CCD phase
Machine come the spaced colored plot of light intensity of the tool that acquires the two sides of image planes and image planes, and obtain image planes and image planes two sides three
The initial beam intensity distribution of a colour plot of light intensity and amplitude；
Step 2, using the colored plot of light intensity of centrally located image planes as primary iteration face, primary iteration face will be located at
Primary iteration face is divided into red logical by remaining two width colour plot of light intensity of two sides respectively as secondary iteration face and third iteration face
It is handled after road, green channel and blue channel by light intensity transmission equation TIE, obtains the phase under each color channel
Distribution, using the phase distribution of each color channel as the initial phase of the angular spectrum alternative manner based on GS；
Step 3, by primary iteration face under each color channel initial phase with record in conjunction with resulting amplitude, obtain
The COMPLEX AMPLITUDE in primary iteration face, and COMPLEX AMPLITUDE is transformed by frequency domain by Fast Fourier Transform (FFT) and is handled, benefit
The initial COMPLEX AMPLITUDE in each iteration face is obtained with the Angular Spectrum Transfer Function of corresponding spacing, is obtained by initial COMPLEX AMPLITUDE
The corresponding phase in each iteration face corrects light with resulting amplitude is recorded in airspace when traveling to corresponding iteration face
The calculated amplitude of field angular spectrum diffraction iteration deviation effects, the corresponding phase of resulting amplitude Yu each iteration face is recorded by combining
The correction COMPLEX AMPLITUDE in each iteration face is obtained, by the initial COMPLEX AMPLITUDE in each iteration face and correction COMPLEX AMPLITUDE two
Spatial correlation is preferably brought into interative computation between person, obtains primary iteration after carrying out loop iteration between three iteration faces
Recovery phase in face under each color channel, and song is responded by the light wave that analysis light source and tri- color of RGB filter CCD camera
Line determines the Phase Stacking weight of the recovery phase under each color channel, obtains rebuilding light intensity and initial beam intensity is distributed root mean square
The smallest best iterative phase of difference；
Step 4, the COMPLEX AMPLITUDE in primary iteration face is obtained by the light distribution of best iterative phase and record, and
The COMPLEX AMPLITUDE in secondary iteration face Yu third iteration face is obtained by Angular Spectrum Transfer Function, thus obtain secondary iteration face with
Recovery light distribution of the third iteration face under each color channel；
Step 5, the recovery light distribution by three colored plot of light intensity under red channel, green channel and blue channel
It is overlapped, obtains rebuilding colored light intensity, Rapid Circulation loads phase diagram on transmission phase type SLM, and passes through transmission phase
Type SLM carries out phase and amplitude modulation to incident light, that is, reproduce one section of image planes depth, realizes 3D effect.
In the three-dimension object color rendering methods provided by the invention based on phase recovery, there can also be such spy
Sign: where light intensity transmission equation TIE are as follows:
By formula (1) approximate solution, obtain:
Fourier transformation is utilized to formula (2), solution obtains:
The Ψ that formula (3) acquires is initial phase,
In formula (1) and (2),For light intensity axial direction differential signal,For gradient operator, λ is wavelength, IbIt is initial
The light distribution in iteration face, Ia and Ic are respectively the light distribution in secondary iteration face Yu third iteration face, and Δ z is secondary iteration face
With the spacing in third iteration face, in formula (3), F is Fourier's direct transform, F-1For inverse Fourier transform, k is wave number, be equal to 2 π/
λ。
The action and effect of invention
A kind of three-dimension object color rendering methods based on phase recovery involved according to the present invention, because utilizing light intensity
Transmission equation TIE and the angular spectrum alternative manner based on GS carry out phase recovery to the colored image planes of incoherent light record jointly, and
The color rendering that three-dimensional object is realized using the colored light intensity for restoring phase and record, thus it is possible to improve phase recovery process
In noise immunity, obtain more accurately restoring phase distribution, thus realize high-resolution 3D reproduce.
Detailed description of the invention
Fig. 1 is the processing stream of three-dimension object color rendering methods of one of the embodiment of the present invention based on phase recovery
Cheng Tu；
Fig. 2 is the initial beam intensity distribution map of three colored plot of light intensity entirety in the embodiment of the present invention；
Fig. 3 is the initial beam intensity distribution map in the embodiment of the present invention under the subchannel of three colored plot of light intensity；
Fig. 4 is that the primary iteration face in the embodiment of the present invention only passes through light intensity transmission equation TIE subchannel treated
Phase distribution figure；
Fig. 5 is that the primary iteration face in the embodiment of the present invention is changed by light intensity transmission equation TIE and the angular spectrum based on GS
For the common subchannel of method treated phase distribution figure；
Fig. 6 is common by light intensity transmission equation TIE and the angular spectrum alternative manner based on GS in the embodiment of the present invention
Processing obtains the flow chart of best iterative phase；
Fig. 7 is the reconstruction surface of intensity distribution in three iteration faces in the embodiment of the present invention under each color channel；
Fig. 8 is the superimposed reconstruction light distribution of three color channels in three iteration faces in the embodiment of the present invention
Figure.
Specific embodiment
In order to which the technological means for realizing the present invention is easy to understand with effect, with reference to embodiments and attached drawing is to this
Invention is specifically addressed.
Fig. 1 is the processing stream of three-dimension object color rendering methods of one of the embodiment of the present invention based on phase recovery
Cheng Tu.
As shown in Figure 1, a kind of three-dimension object color rendering methods based on phase recovery of the present embodiment, including following step
It is rapid:
Step 1, white light imaging is carried out to three letters M, E, N on three-dimension object by imaging len, and is put in image planes
The spaced colored plot of light intensity of the tool for setting tri- color of RGB filtering CCD camera to acquire the two sides of image planes and image planes, and obtain image planes
And initial beam intensity distribution and the amplitude of three colored plot of light intensity of the two sides of image planes, the initial beam intensity point of three colored plot of light intensity
Cloth is as shown in Figure 2.
Step 2, using the colored plot of light intensity of centrally located image planes as primary iteration face, primary iteration face will be located at
Primary iteration face is divided into red logical by remaining two width colour plot of light intensity of two sides respectively as secondary iteration face and third iteration face
Road, green channel and blue channel, the initial beam intensity distribution under subchannel as shown in figure 3, pass through light intensity transmission equation TIE again
It is handled, obtains the phase distribution under each color channel, each color channel only obtained by light intensity transmission equation TIE
Under phase distribution as shown in figure 4, using the phase distribution of each color channel as the initial of the angular spectrum alternative manner based on GS
Phase.
Light intensity transmission equation TIE are as follows:
By formula (1) approximate solution, obtain:
Fourier transformation is utilized to formula (2), solution obtains:
The Ψ that formula (3) acquires is initial phase,
In formula (1) and (2),For light intensity axial direction differential signal,For gradient operator, λ is wavelength, IbIt is initial
The light distribution in iteration face, Ia and Ic are respectively the light distribution in secondary iteration face Yu third iteration face, and Δ z is secondary iteration face
With the spacing in third iteration face, in formula (3), F is Fourier's direct transform, F-1For inverse Fourier transform, k is wave number, be equal to 2 π/
λ。
In the present embodiment, as shown in Figure 4, only by the light intensity transmission equation TIE phase handled and inaccurate, about
The high-frequency information of object does not recover, and the anti-noise that light intensity transmission equation TIE is handled when recording interplanar distance and increasing
Property will worse and worse.
Step 3, by primary iteration face under each color channel initial phase with record in conjunction with resulting amplitude, obtain
The COMPLEX AMPLITUDE in primary iteration face, and COMPLEX AMPLITUDE is transformed by frequency domain by Fast Fourier Transform (FFT) and is handled, benefit
The initial COMPLEX AMPLITUDE in each iteration face is obtained with the Angular Spectrum Transfer Function of corresponding spacing, is obtained by initial COMPLEX AMPLITUDE
The corresponding phase in each iteration face corrects light with resulting amplitude is recorded in airspace when traveling to corresponding iteration face
The calculated amplitude of field angular spectrum diffraction iteration deviation effects, the corresponding phase of resulting amplitude Yu each iteration face is recorded by combining
The correction COMPLEX AMPLITUDE in each iteration face is obtained, by the initial COMPLEX AMPLITUDE in each iteration face and correction COMPLEX AMPLITUDE two
Spatial correlation is preferably brought into interative computation between person, obtains primary iteration after carrying out loop iteration between three iteration faces
Recovery phase in face under each color channel, and song is responded by the light wave that analysis light source and tri- color of RGB filter CCD camera
Line determines the Phase Stacking weight of the recovery phase under each color channel, obtains rebuilding light intensity and initial beam intensity is distributed root mean square
The smallest best iterative phase of difference, is jointly processed by obtain by light intensity transmission equation TIE and the angular spectrum alternative manner based on GS
Each color channel under phase distribution as shown in figure 5, having obtained more accurate phase distribution.
Fig. 6 is common by light intensity transmission equation TIE and the angular spectrum alternative manner based on GS in the embodiment of the present invention
Processing obtains the flow chart of best iterative phase.
As shown in fig. 6, the initial phase P0 that light intensity transmission equation TIE is handled passes through the angular spectrum alternative manner based on GS
The detailed process for carrying out loop iteration is as follows: first being obtained initially by the phase P0 in primary iteration face and the amplitude a1 in primary iteration face
Primary iteration face COMPLEX AMPLITUDE fb is transformed at frequency domain by iteration face COMPLEX AMPLITUDE fb using Fast Fourier Transform (FFT)
Reason, using the Angular Spectrum Transfer Function for corresponding to spacing between primary iteration face and third iteration face, obtains the initial of third iteration face
COMPLEX AMPLITUDE, and by the initial COMPLEX AMPLITUDE obtain light propagation to third iteration face corresponding phase P1, by right
It answers phase P1 and third iteration face to record resulting amplitude a2 and obtains the correction COMPLEX AMPLITUDE fc in third iteration face, and choose just
Spatial correlation is preferably iterated between beginning COMPLEX AMPLITUDE and correction COMPLEX AMPLITUDE；
It recycles Fast Fourier Transform (FFT) that the COMPLEX AMPLITUDE of selection being iterated is transformed into frequency domain to handle, benefit
With the Angular Spectrum Transfer Function for corresponding to spacing between third iteration face and secondary iteration face, the initial complex amplitude in secondary iteration face is obtained
Distribution, and light propagation is obtained to the corresponding phase P2 in secondary iteration face by the initial COMPLEX AMPLITUDE, pass through corresponding phase
P2 and secondary iteration face record resulting amplitude a3 and obtain the correction COMPLEX AMPLITUDE fa in secondary iteration face, and choose initial multiple vibration
Spatial correlation is preferably iterated between width distribution and correction COMPLEX AMPLITUDE；
It recycles Fast Fourier Transform (FFT) that the COMPLEX AMPLITUDE of selection being iterated is transformed into frequency domain to handle, benefit
With the Angular Spectrum Transfer Function for corresponding to spacing between secondary iteration face and primary iteration face, the initial complex amplitude in primary iteration face is obtained
Distribution, and light propagation is obtained to the corresponding phase q0 in primary iteration face by the initial COMPLEX AMPLITUDE, pass through corresponding phase
Q0 and primary iteration face record resulting amplitude a1 and obtain the correction COMPLEX AMPLITUDE fb in primary iteration face, and choose initial multiple vibration
Spatial correlation preferably arrives changing for third iteration face come the primary iteration face of progress between width distribution and correction COMPLEX AMPLITUDE fb
Generation, so that loop iteration is carried out between three iteration faces, when carrying out loop iteration between three iteration faces, initially multiple
Spatial correlation is chosen between distribution of amplitudes and correction COMPLEX AMPLITUDE to be preferably iterated, and is finally obtained in primary iteration face
The optimal recovery phase of spatial correlation, then determined by the light wave response curve that analysis light source and tri- color of RGB filter CCD camera
The Phase Stacking weight of recovery phase under each color channel obtains rebuilding light intensity and initial beam intensity distribution root mean square difference most
Small best iterative phase,
Wherein, corresponding Angular Spectrum Transfer Function H=exp (- i π λ d between primary iteration face and third iteration facez2(fx 2+
fy 2),
Corresponding Angular Spectrum Transfer Function H between third iteration face and secondary iteration face*=exp (i π λ (dz1+dz2)(fx 2+
fy 2)),
Corresponding Angular Spectrum Transfer Function H=exp (i π λ d between secondary iteration face and primary iteration facez1(fx 2-fy 2),
In Angular Spectrum Transfer Function formula, dz1For the distance between primary iteration face and secondary iteration face, dz2For primary iteration
The distance between face and third iteration face, fx 2、fy 2For the spatial frequency on the direction x, y, λ is wavelength, and i is imaginary unit, i2=-
1。
Step 4, the COMPLEX AMPLITUDE that primary iteration face is obtained by the light distribution of best iterative phase and record, by
The COMPLEX AMPLITUDE in primary iteration face can learn the complex amplitude point of the arbitrary face of different propagation distance by Angular Spectrum Transfer Function
In the present embodiment, the COMPLEX AMPLITUDE in secondary iteration face Yu third iteration face is obtained by Angular Spectrum Transfer Function for cloth, thus
To secondary iteration face and recovery light distribution of the third iteration face under each color channel, three iteration faces are each colored logical
Recovery light distribution under road is as shown in Figure 7.
Step 5, the recovery light distribution by three colored plot of light intensity under red channel, green channel and blue channel
It is overlapped, obtains rebuilding colored light intensity, the reconstruction light distribution in three iteration faces is as shown in figure 8, on transmission phase type SLM
Rapid Circulation loads phase diagram, and carries out phase and amplitude modulation to incident light by transmission phase type SLM, i.e., one section reproducible
Image planes depth realizes 3D effect.
The action and effect of embodiment
A kind of three-dimension object color rendering methods based on phase recovery according to involved in the present embodiment, because utilizing light
Strong transmission equation TIE and the angular spectrum alternative manner based on GS carry out phase recovery to the colored image planes of incoherent light record jointly,
And the color rendering of three-dimensional object is realized using the colored light intensity for restoring phase and record, thus it is possible to improve phase recovery mistake
Noise immunity in journey obtains more accurately restoring phase distribution, to realize that the 3D of high-resolution reproduces.
Above embodiment is preferred case of the invention, the protection scope being not intended to limit the invention.
Claims (2)
1. a kind of three-dimension object color rendering methods based on phase recovery, which comprises the following steps:
Step 1, white light imaging is carried out to object by imaging len, and places tri- color of RGB filtering CCD camera in image planes to acquire
The spaced colored plot of light intensity of the tool of the two sides of the image planes and the image planes, and obtain the image planes and the image planes
The initial beam intensity distribution of the colored plot of light intensity of three of two sides and amplitude；
Step 2, using the colored plot of light intensity of the centrally located image planes as primary iteration face, will be located at described first
Colour plot of light intensity described in remaining two width of beginning iteration face two sides, will be described initial respectively as secondary iteration face and third iteration face
Iteration face is handled after being divided into red channel, green channel and blue channel by light intensity transmission equation TIE, is obtained each
Phase distribution under color channel, using the phase distribution of each color channel as the angular spectrum alternative manner based on GS
Initial phase；
Step 3, it the initial phase by the primary iteration face under each color channel and records resulting described
Amplitude combines, and obtains the COMPLEX AMPLITUDE in the primary iteration face, and passes through Fast Fourier Transform (FFT) for the COMPLEX AMPLITUDE
It is transformed into frequency domain to be handled, obtains the initial COMPLEX AMPLITUDE in each iteration face using the Angular Spectrum Transfer Function of corresponding spacing,
The corresponding phase in each iteration face is obtained by the initial COMPLEX AMPLITUDE, when traveling to corresponding iteration face, in airspace
The calculated amplitude of light field angular spectrum diffraction iteration deviation effects is corrected with the resulting amplitude is recorded, records institute by combining
The corresponding phase of the amplitude and each iteration face that obtain obtains the correction COMPLEX AMPLITUDE in each iteration face, will each change
For the initial COMPLEX AMPLITUDE in face, spatial correlation preferably brings iteration between the two with the correction COMPLEX AMPLITUDE
In operation, the recovery in the primary iteration face under each color channel is obtained after carrying out loop iteration between three iteration faces
Phase, and each color channel is determined by the light wave response curve that analysis light source and tri- color of the RGB filter CCD camera
Under the recovery phase Phase Stacking weight, obtaining rebuilding light intensity and the initial beam intensity, to be distributed root mean square difference the smallest
Best iterative phase；
Step 4, the multiple vibration in the primary iteration face is obtained by the light distribution of the best iterative phase and record
Width distribution, and the COMPLEX AMPLITUDE in the secondary iteration face Yu third iteration face is obtained by Angular Spectrum Transfer Function, from
And obtain the secondary iteration face and recovery light distribution of the third iteration face under each color channel；
Step 5, the recovery light intensity by three colored plot of light intensity under red channel, green channel and blue channel
Distribution is overlapped, and obtains rebuilding colored light intensity, and Rapid Circulation loads phase diagram on transmission phase type SLM, and by described
Transmission phase type SLM carries out phase and amplitude modulation to incident light, that is, reproduce one section of image planes depth, realizes 3D effect.
2. the three-dimension object color rendering methods according to claim 1 based on phase recovery, it is characterised in that:
Wherein, the light intensity transmission equation TIE are as follows:
By formula (1) approximate solution, obtain:
Fourier transformation is utilized to formula (2), solution obtains:
The Ψ that formula (3) acquires is the initial phase,
In formula (1) and (2),For light intensity axial direction differential signal,For gradient operator, λ is wavelength, IbIt initially changes to be described
For the light distribution in face, IaWith IcThe light distribution in respectively described secondary iteration face and third iteration face, Δ z is described
The spacing in secondary iteration face and third iteration face,
In formula (3), F is Fourier's direct transform, F-1For inverse Fourier transform, k is wave number, is equal to 2 π/λ.
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| CN113777902A (en) * | 2021-09-01 | 2021-12-10 | 北京航空航天大学 | Curved surface holographic noise suppression method based on random gradient descent algorithm |
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