WO2023063792A1

WO2023063792A1 - A method and apparatus for optical deconvolution

Info

Publication number: WO2023063792A1
Application number: PCT/KR2022/015641
Authority: WO
Inventors: Ernest Rehmatulla Post
Original assignee: Samsung Electronics Co Ltd
Current assignee: Samsung Electronics Co Ltd
Priority date: 2021-10-14
Filing date: 2022-10-14
Publication date: 2023-04-20
Anticipated expiration: 2024-04-14
Also published as: US12216277B2; EP4327058A1; US20230119549A1; EP4327058A4; EP4327058B1

Abstract

In one embodiment, a method of constructing a corrective phase mask for an optical element, includes propagating, for each of one or more wavelengths, a point source field from an object plane to a corrective mask plane to determine a source field and propagating, for each of the one or more wavelengths, the point source field from an image plane to the corrective mask plane to determine an image field. The method may further include determining, for each of the one or more wavelengths, a phase modulation field based on the source field and the image field; and determining a multi-wavelength phase modulation field based on combining the phase modulation field for each of the one or more wavelengths.

Description

A METHOD AND APPARATUS FOR OPTICAL DECONVOLUTION

This disclosure generally relates to an optical element for performing deconvolution.

Electronic devices, such as mobile phones, tablet computers, smartwatches, and so forth, often include one or more image sensors, such as a camera, that can capture images. For example, a personal electronic device may include one or more cameras on the rear, or back, of the device; may include one or more cameras on the front of the device; and may include one or more cameras oriented in other arrangements on the device.

An image taken by a camera, such as by a camera of an electronic device, may be degraded (or blurred) relative to the scene represented by the image due to a number of factors, such as interactions, obstructions, etc. that occur as light from the scene travels to the camera's sensor that captures the image. Degradation may be determined or represented by point-spread functions (PSFs) that describes the response of the camera's imaging system to various point sources, and a PSF may represent an amount of blurring that is present in an image of a point source. A set of PSFs may be used to construct an un-degraded, or de-blurred, image via deconvolution.

According to an embodiment, there is provided a method for optical deconvolution. The method may include: propagating, for each of one or more wavelengths, a point source field from an object plane to a corrective mask plane to determine a source field; propagating, for each of the one or more wavelengths, the point source field from an image plane to the corrective mask plane to determine an image field; determining, for each of the one or more wavelengths, a phase modulation field based on the source field and the image field; and determining a multi-wavelength phase modulation field based on combining the phase modulation field for each of the one or more wavelengths.

According to an embodiment, there is provided an apparatus for optical deconvolution. The apparatus may include an optical element and at least one processor. The processor propagate, for each of one or more wavelengths, a point source field from an object plane to a corrective mask plane to determine a source field. The processor propagate, for each of the one or more wavelengths, the point source field from an image plane to the corrective mask plane to determine an image field. The processor determine, for each of the one or more wavelengths, a phase modulation field based on the source field and the image field. The processor determine a multi-wavelength phase modulation field based on combining the phase modulation field for each of the one or more wavelengths. The processor fabricate the optical element based on the multi-wavelength phase modulation field.

Figure 1 illustrates an example system including an optical element that performs deconvolution.

Figure 2 illustrates an example method for creating an optical element that performs deconvolution.

Figure 3 illustrates another example system including an optical element that performs deconvolution.

Figure 4 illustrates an example optical response of a system using an example optical element that performs deconvolution.

Figure 5 illustrates an example computing system.

Figure 6 illustrates an example computing apparatus.

Images captured by an image sensor of an electronic device may be blurred for a variety of reasons. For example, a front-facing camera may be disposed under a display (or another surface) of a personal electronic device, for example to decrease the camera's footprint on the surface of the device and to increase the useable surface of the device. As an example, placing a front-facing camera behind a display of an electronic device may increase the size of the device's display. However, disposing the front-facing camera system behind the display panel may degrade images captured by the front-facing camera, for example because of interference caused by the display structure as light passes through the display to the camera sensor, as described more fully below.

One or more PSF measurements can be performed to characterize the degradation of an image captured by an image sensor, such as an under-display camera. Each PSF may be a function of the source's wavelength, distance, and angle with the optical axis with respect to the camera's sensor. The set of PSFs are then used to reconstruct an undegraded image via deconvolution, for example by convolving the blurred image with the inverse PSFs. The deconvolution is typically performed as a computational, numerical process by a computing device, such as by a processor of a computing device. Deconvolution calculations consume system resources, such as power, memory, and available processing capabilities, and for a device to perform deconvolution computationally the device must have the minimum capabilities, such as processing capabilities, necessary to perform the computations.

In contrast, embodiments of this disclosure perform deconvolution in the optical domain by using one or more physical optical elements designed to deblur images. The physical optical element optically performs deconvolution by manipulating the light that reaches a camera's sensor, and therefore requires little or no computation to be performed by the device in order to de-blur an image. Embodiments of this disclosure therefore reduce systems cost, computational requirements, power budget, and the time required for image reconstruction. Moreover, embodiments discloses herein enable deconvolution techniques to be performed by lightweight devices that do not have the computational resources necessary to perform deconvolution.

Figure 1 illustrates an example system including a corrective optical element that performs deconvolution. As shown in the example of Figure 1, source 110, which may be a point source or may represent a point source, lies in an object plane and creates optical source field S. As explained more fully herein, source field S may be incoherent light comprised of many different wavelengths, e.g., wavelengths in the visible spectrum. Source field S arrives at, and is modified by, mask 120, which for example represents the layers of a physical display screen, for example a display screen of a personal electronic device, such as a mobile phone, tablet computer, smartwatch, camera, laptop, monitor, television, and so forth As shown in the example of Figure 1, source field S passes through a transparent portion of the display screen and may interact with one or more optical components 130. For example, optical components 130 may include one or more lenses, which may be part of a camera system, that collect and focus light. While the example of Figure 1 illustrates a single optical component 130, this disclosure contemplates that more than one optical component 130 may be present, and moreover that in some embodiments all or some optical components may be disposed prior to corrective mask 140 while in some embodiments all or some optical components may be disposed after corrective mask 140.

As shown in the example of Figure 1, after passing through mask 120 and optical component 130, source field S reaches corrective mask 140 (also referred to herein as an "optical element" or "corrective optical element"). Corrective mask 140 interacts with and modifies source field S so that the optical field emerging from corrective element 140 is image field I. As explained more fully below, corrective mask 140 deconvolves the blurring introduced to source field S, e.g., by the display structure represented by mask 120. The resulting image field I represents a de-blurred image field, and as shown in the example of Figure 1, de-blurred image field I is captured by image sensor 150, for example an image sensor of a camera. Thus, the resulting image captured by image sensor 150 need not be deconvolved using computational deconvolution techniques, because corrective mask 140 has physically performed the deconvolution necessary to deblur the image field so that the camera captures an already de-blurred image.

While the example of Figure 1 relates to deconvolving an image captured by a camera that is mounted under a display of a device, this disclosure contemplates that the optical element disclosed herein may perform deconvolution in any suitable device or context. Moreover, while the example of Figure 1 describes the camera and optical element- in the context of a personal electronic device with a display, this disclosure contemplates that the components described herein may be disposed in any suitable device that has an at least partially optically transparent surface, such as for example an appliance, mirror, etc.

Figure 2 illustrates an example method for creating, or fabricating, an optical element that performs deconvolution, such as corrective mask 140 of the example of Figure 1. The example method of Figure 2 may begin at step 210, which includes propagating, for each of one or more wavelengths

, a point source field from an object plane to a corrective mask plane to determine a source field

. For example, as explained above with reference to Figure 1, point source 110 lies in an object plane, while the corrective mask plane is the plane in which corrective mask 140 lies. This disclosure contemplates that any suitable number of wavelengths

may be used to generate corresponding source fields

. For example, a set of wavelengths across the visible spectrum may be chosen, each wavelength corresponding to a source field

.

At step 220, the method of Figrue 2 includes propagating, for each of the one or more wavelengths

, the point source field

from an image plane to the corrective mask plane to determine an image field

. For example, with reference to Figure 1, the image plane corresponds to the plane in which sensor 150 is disposed. At step 230, the method of Figure 2 includes determining, for each of the one or more wavelengths

, a phase modulation field

based on the source field

and the image field

. For example, each phase modulation field

may be equal to

.

At step 240, the method of Figure 2 includes determining a multi-wavelength phase modulation field

based on combining the phase modulation field for each of the one or more wavelengths

. The combination of each

into the multi-wavelength phase modulation field

may be accomplished using any suitable techniques, such as for example using superposition (complex addition), random sampling, etc.

Particular embodiments may repeat one or more steps of the method of Figure 2, where appropriate. Although this disclosure describes and illustrates particular steps of the method of Figure 2 as occurring in a particular order, this disclosure contemplates any suitable steps of the method of Figuure 2 occurring in any suitable order. Moreover, this disclosure contemplates that some or all of the computing operations described herein, including certain steps of the example method illustrated in Figure 2 such as

steps

230 and 240, may be performed by circuitry of a computing device described herein, by a processor coupled to non-transitory computer readable storage media, or any suitable combination thereof.

The multi-wavelength phase modulation field

can be used to design and fabricate a physical corrective optical element, which in particular embodiments may occur after simulation studies are used to test and validate

. A physical corrective optical element that deblurs distortion caused by, e.g., the layers of a device's display can be physically generated from the multi-wavelength phase modulation field

by any of a variety of different fabrication methods known in the field, including, for example binary amplitude masks, phase masks, kinoforms, freeform holographic optical elements, metalenses, etc.

Once the physical optical element is fabricated from the multi-wavelength phase modulation field

, the optical element can be disposed in a device at the location of the corrective mask plane described above. The device can then perform image deconvolution using the fabricated optical element, without having to deconvolve the images computationally.

This disclosure contemplates that a corrective optical element may be disposed in any suitable location in a device. For example, Figure 1 illustrates an example in which the corrective optical element (correction mask 140) is disposed between a display structure (mask 120) and an image sensor 150.

Figure 3 illustrates another example where the corrective mask 340 is combined (i.e., co-located) with the display mask 320 to form a combined mask. For example, a corrective mask may be placed on the bottom of the display layers of a device.

Moreover, while examples in this disclosure relate to deconvolution and image capture of visible light, this disclosure contemplates that the optical elements described herein may be applied to other spectrums. For example, a depth sensor may sense electromagnetic waves in a spectrum that includes UV radiation or infrared radiation, or both, and an optical element may be fabricated for the depth sensor by, for example, including wavelengths in those spectrums in

steps

210 and 220 of the example method of Figure 2.

Figure 4 illustrates an example optical response of a system using a corrective optical element as described herein. Figure 4 illustrates an example display structure mask 410, with the dark regions indicting non-transparent features of the display mask and the white regions indicating transparent (or partially transparent) regions. As a result of mask 410, light from a point source passing through mask 410 has a PSF as shown in image 420, which illustrates the blurring that display structure 410 introduces.

Figure 4 also illustrates an example of a corrective phase mask 440, where phase modulation is partly represented by the intensity of the greyscale shown. A physical optical element can be fabricated from phase mask 440 and introduced to correct the blurring shown in image 420. For example, physical mask 450 illustrates an example where a binarized phase mask based on physical mask 440 is combined with the physical structure of display mask 430. The PSF of display mask 450 is shown in image 460, which illustrates deblurring of a point source relative to image 420 for display mask 410.

Figure 5 illustrates an example computer system 500. In particular embodiments, one or more computer systems 500 perform one or more steps of one or more methods described or illustrated herein. In particular embodiments, one or more computer systems 500 provide functionality described or illustrated herein. In particular embodiments, software running on one or more computer systems 500 performs one or more steps of one or more methods described or illustrated herein or provides functionality described or illustrated herein. Particular embodiments include one or more portions of one or more computer systems 500. Herein, reference to a computer system may encompass a computing device, and vice versa, where appropriate. Moreover, reference to a computer system may encompass one or more computer systems, where appropriate.

This disclosure contemplates any suitable number of computer systems 500. This disclosure contemplates computer system 500 taking any suitable physical form. As example and not by way of limitation, computer system 500 may be an embedded computer system, a system-on-chip (SOC), a single-board computer system (SBC) (such as, for example, a computer-on-module (COM) or system-on-module (SOM)), a desktop computer system, a laptop or notebook computer system, an interactive kiosk, a mainframe, a mesh of computer systems, a mobile telephone, a personal digital assistant (PDA), a server, a tablet computer system, or a combination of two or more of these. Where appropriate, computer system 500 may include one or more computer systems 500; be unitary or distributed; span multiple locations; span multiple machines; span multiple data centers; or reside in a cloud, which may include one or more cloud components in one or more networks. Where appropriate, one or more computer systems 500 may perform without substantial spatial or temporal limitation one or more steps of one or more methods described or illustrated herein. As an example and not by way of limitation, one or more computer systems 500 may perform in real time or in batch mode one or more steps of one or more methods described or illustrated herein. One or more computer systems 500 may perform at different times or at different locations one or more steps of one or more methods described or illustrated herein, where appropriate.

In particular embodiments, computer system 500 includes a processor 502, memory 504, storage 506, an input/output (I/O) interface 508, a communication interface 510, and a bus 512. Although this disclosure describes and illustrates a particular computer system having a particular number of particular components in a particular arrangement, this disclosure contemplates any suitable computer system having any suitable number of any suitable components in any suitable arrangement.

In particular embodiments, processor 502 includes hardware for executing instructions, such as those making up a computer program. As an example and not by way of limitation, to execute instructions, processor 502 may retrieve (or fetch) the instructions from an internal register, an internal cache, memory 504, or storage 506; decode and execute them; and then write one or more results to an internal register, an internal cache, memory 504, or storage 506. In particular embodiments, processor 502 may include one or more internal caches for data, instructions, or addresses. This disclosure contemplates processor 502 including any suitable number of any suitable internal caches, where appropriate. As an example and not by way of limitation, processor 502 may include one or more instruction caches, one or more data caches, and one or more translation lookaside buffers (TLBs). Instructions in the instruction caches may be copies of instructions in memory 504 or storage 506, and the instruction caches may speed up retrieval of those instructions by processor 502. Data in the data caches may be copies of data in memory 504 or storage 506 for instructions executing at processor 502 to operate on; the results of previous instructions executed at processor 502 for access by subsequent instructions executing at processor 502 or for writing to memory 504 or storage 506; or other suitable data. The data caches may speed up read or write operations by processor 502. The TLBs may speed up virtual-address translation for processor 502. In particular embodiments, processor 502 may include one or more internal registers for data, instructions, or addresses. This disclosure contemplates processor 502 including any suitable number of any suitable internal registers, where appropriate. Where appropriate, processor 502 may include one or more arithmetic logic units (ALUs); be a multi-core processor; or include one or more processors 502. Although this disclosure describes and illustrates a particular processor, this disclosure contemplates any suitable processor.

In particular embodiments, memory 504 includes main memory for storing instructions for processor 502 to execute or data for processor 502 to operate on. As an example and not by way of limitation, computer system 500 may load instructions from storage 506 or another source (such as, for example, another computer system 500) to memory 504. Processor 502 may then load the instructions from memory 504 to an internal register or internal cache. To execute the instructions, processor 502 may retrieve the instructions from the internal register or internal cache and decode them. During or after execution of the instructions, processor 502 may write one or more results (which may be intermediate or final results) to the internal register or internal cache. Processor 502 may then write one or more of those results to memory 504. In particular embodiments, processor 502 executes only instructions in one or more internal registers or internal caches or in memory 504 (as opposed to storage 506 or elsewhere) and operates only on data in one or more internal registers or internal caches or in memory 504 (as opposed to storage 506 or elsewhere). One or more memory buses (which may each include an address bus and a data bus) may couple processor 502 to memory 504. Bus 512 may include one or more memory buses, as described below. In particular embodiments, one or more memory management units (MMUs) reside between processor 502 and memory 504 and facilitate accesses to memory 504 requested by processor 502. In particular embodiments, memory 504 includes random access memory (RAM). This RAM may be volatile memory, where appropriate Where appropriate, this RAM may be dynamic RAM (DRAM) or static RAM (SRAM). Moreover, where appropriate, this RAM may be single-ported or multi-ported RAM. This disclosure contemplates any suitable RAM. Memory 504 may include one or more memories 504, where appropriate. Although this disclosure describes and illustrates particular memory, this disclosure contemplates any suitable memory.

In particular embodiments, storage 506 includes mass storage for data or instructions. As an example and not by way of limitation, storage 506 may include a hard disk drive (HDD), a floppy disk drive, flash memory, an optical disc, a magneto-optical disc, magnetic tape, or a Universal Serial Bus (USB) drive or a combination of two or more of these. Storage 506 may include removable or non-removable (or fixed) media, where appropriate. Storage 506 may be internal or external to computer system 500, where appropriate. In particular embodiments, storage 506 is non-volatile, solid-state memory. In particular embodiments, storage 506 includes read-only memory (ROM). Where appropriate, this ROM may be mask-programmed ROM, programmable ROM (PROM), erasable PROM (EPROM), electrically erasable PROM (EEPROM), electrically alterable ROM (EAROM), or flash memory or a combination of two or more of these. This disclosure contemplates mass storage 506 taking any suitable physical form. Storage 506 may include one or more storage control units facilitating communication between processor 502 and storage 506, where appropriate. Where appropriate, storage 506 may include one or more storages 506. Although this disclosure describes and illustrates particular storage, this disclosure contemplates any suitable storage.

In particular embodiments, I/O interface 508 includes hardware, software, or both, providing one or more interfaces for communication between computer system 500 and one or more I/O devices. Computer system 500 may include one or more of these I/O devices, where appropriate. One or more of these I/O devices may enable communication between a person and computer system 500. As an example and not by way of limitation, an I/O device may include a keyboard, keypad, microphone, monitor, mouse, printer, scanner, speaker, still camera, stylus, tablet, touch screen, trackball, video camera, another suitable I/O device or a combination of two or more of these. An I/O device may include one or more sensors. This disclosure contemplates any suitable I/O devices and any suitable I/O interfaces 508 for them. Where appropriate, I/O interface 508 may include one or more device or software drivers enabling processor 502 to drive one or more of these I/O devices. I/O interface 508 may include one or more I/O interfaces 508, where appropriate. Although this disclosure describes and illustrates a particular I/O interface, this disclosure contemplates any suitable I/O interface.

In particular embodiments, communication interface 510 includes hardware, software, or both providing one or more interfaces for communication (such as, for example, packet-based communication) between computer system 500 and one or more other computer systems 500 or one or more networks. As an example and not by way of limitation, communication interface 510 may include a network interface controller (NIC) or network adapter for communicating with an Ethernet or other wire-based network or a wireless NIC (WNIC) or wireless adapter for communicating with a wireless network, such as a WI-FI network. This disclosure contemplates any suitable network and any suitable communication interface 510 for it. As an example and not by way of limitation, computer system 500 may communicate with an ad hoc network, a personal area network (PAN), a local area network (LAN), a wide area network (WAN), a metropolitan area network (MAN), or one or more portions of the Internet or a combination of two or more of these. One or more portions of one or more of these networks may be wired or wireless. As an example, computer system 500 may communicate with a wireless PAN (WPAN) (such as, for example, a BLUETOOTH WPAN), a WI-FI network, a WI-MAX network, a cellular telephone network (such as, for example, a Global System for Mobile Communications (GSM) network), or other suitable wireless network or a combination of two or more of these. Computer system 500 may include any suitable communication interface 510 for any of these networks, where appropriate. Communication interface 510 may include one or more communication interfaces 510, where appropriate. Although this disclosure describes and illustrates a particular communication interface, this disclosure contemplates any suitable communication interface.

In particular embodiments, bus 512 includes hardware, software, or both coupling components of computer system 500 to each other. As an example and not by way of limitation, bus 512 may include an Accelerated Graphics Port (AGP) or other graphics bus, an Enhanced Industry Standard Architecture (EISA) bus, a front-side bus (FSB), a HYPERTRANSPORT (HT) interconnect, an Industry Standard Architecture (ISA) bus, an INFINIBAND interconnect, a low-pin-count (LPC) bus, a memory bus, a Micro Channel Architecture (MCA) bus, a Peripheral Component Interconnect (PCI) bus, a PCI-Express (PCIe) bus, a serial advanced technology attachment (SATA) bus, a Video Electronics Standards Association local (VLB) bus, or another suitable bus or a combination of two or more of these. Bus 512 may include one or more buses 512, where appropriate. Although this disclosure describes and illustrates a particular bus, this disclosure contemplates any suitable bus or interconnect.

Figure 6 illustrates an example computer apparatus 600. The computer apparatus 600 may include an optical element 610, an image sensor 620, a display 630 and at least one processor 640. However, all of the illustrated components are not essential. The computer apparatus 600 may be implemented by more or less components than those illustrated in Figure 6.

The processor may perform one or more steps of one or more methods described or illustrated herein. In particular embodiments, one or more computer apparatus 600 may include the computer systems 500 or the computer device described or illustrated herein.

Embodiments of this disclosure perform deconvolution in the optical domain by using one or more physical optical elements designed to deblur images.

According to an embodiment, the modulation field for each of the one or more wavelengths is combined based on at least one of : super-positioning or random sampling.

According to an embodiment, the method may further include : providing an optical element based on the multi-wavelength phase modulation, wherein the optical element deblurs optical blurring by a display.

According to an embodiment, the optical element is disposed behind the display.

According to an embodiment, the optical element is disposed spatially coincident with the display.

According to an embodiment, for each of the one or more wavelengths, the phase modulation field comprises the source field for that wavelength divided by the image field for that wavelength.

According to an embodiment, the point source field from the object plane to the corrective mask plane and the point source field from the image plane to corrective mask plane each incoherent light.

According to an embodiment, the method may further include: receving, at the optical element of a device, light from an object external to the device; modulating, by the optical element, the light from the object, wherein the modulation by the optical clement deblurs blurring caused by one or more components of the device; and capturing the modulated light.

According to an embodiment, the method may further include: displaying an image of the object as captured.

Embodiments of this disclosure therefore reduce systems cost, computational requirements, power budget, and the time required for image reconstruction.

Herein, a computer-readable non-transitory storage medium or media may include one or more semiconductor-based or other integrated circuits (ICs) (such, as for example, field-programmable gate arrays (FPGAs) or application-specific ICs (ASICs)), hard disk drives (HDDs), hybrid hard drives (HHDs), optical discs, optical disc drives (ODDs), magneto-optical discs, magneto-optical drives, floppy diskettes, floppy disk drives (FDDs), magnetic tapes, solid-state drives (SSDs), RAM-drives, SECURE DIGITAL cards or drives, any other suitable computer-readable non-transitory storage media, or any suitable combination of two or more of these, where appropriate. A computer-readable non-transitory storage medium may be volatile, non-volatile, or a combination of volatile and non-volatile, where appropriate.

Herein, "or" is inclusive and not exclusive, unless expressly indicated otherwise or indicated otherwise by context. Therefore, herein, "A or B" means "A, B, or both," unless expressly indicated otherwise or indicated otherwise by context. Moreover, "and" is both joint and several, unless expressly indicated otherwise or indicated otherwise by context. Therefore, herein, "A and B" means "A and B, jointly or severally," unless expressly indicated otherwise or indicated otherwise by context.

The scope of this disclosure encompasses all changes, substitutions, variations, alterations, and modifications to the example embodiments described or illustrated herein that a person having ordinary skill in the art would comprehend. The scope of this disclosure is not limited to the example embodiments described or illustrated herein. Moreover, although this disclosure describes and illustrates respective embodiments herein as including particular components, elements, feature, functions, operations, or steps, any of these embodiments may include any combination or permutation of any of the components, elements, features, functions, operations, or steps described or illustrated anywhere herein that a person having ordinary skill in the art would comprehend.

Claims

A method for optical deconvolution comprising:

propagating(210), for each of one or more wavelengths, a point source field from an object plane to a corrective mask plane to determine a source field;

propagating(220), for each of the one or more wavelengths, the point source field from an image plane to the corrective mask plane to determine an image field;

determining(230), for each of the one or more wavelengths, a phase modulation field based on the source field and the image field; and

determining(240) a multi-wavelength phase modulation field based on combining the phase modulation field for each of the one or more wavelengths.
The method of Claim 1, wherein the phase modulation field for each of the one or more wavelengths is combined based on at least one of: super-positioning or random sampling.
The method of any one of Claim 1 to 2, further comprising:

providing an optical element based on the multi-wavelength phase modulation field, wherein the optical element deblurs optical blurring caused by a display.
The method of Claim 3, wherein the optical element is disposed behind the display.
The method of Claim 3, wherein the optical element is disposed spatially coincident with the display.
The method of any one of Claim 1 to 5, wherein for each of the one or more wavelengths the phase modulation field comprises the source field for that wavelength divided by the image field for that wavelength.
The method of any one of Claim 1 to 6, wherein the point source field from the object plane to the corrective mask plane and the point source field from the image plane to the corrective mask plane each comprise incoherent light.
A method of any one of Claim 3 to 7, further comprising:

receiving, at the optical element of a device, light from an object external to the device;

modulating, by the optical element, the light from the object, wherein the modulation by the optical element deblurs blurring caused by one or more components of the device; and

capturing the modulated light.
The method of Claim 8, further comprising: displaying an image of the object as captured.
An apparatus for optical deconvolution comprising:

an optical element(610), and

at least one processor(640) configured to :

propagate, for each of one or more wavelengths, a point source field from an object plane to a corrective mask plane to determine a source field;

propagate, for each of the one or more wavelengths, the point source field from an image plane to the corrective mask plane to determine an image field;

determine, for each of the one or more wavelengths, a phase modulation field based on the source field and the image field;

determine a multi-wavelength phase modulation field based on combining the phase modulation field for each of the one or more wavelengths; and

fabricate the optical element based on the multi-wavelength phase modulation field.
The apparatus of Claim 10, wherein the phase modulation field for each of the one or more wavelengths is combined based on at least one of: super-positioning or random sampling.
The apparatus of any one of Claim 10 to 11, further comprising:

a display(620); and

an image sensor(630) disposed behind the display, wherein the optical element is disposed in front of the image sensor and the optical element deblurs optical blurring caused by the display.
The apparatus of Claim 12, wherein the optical element is disposed behind the display.
The apparatus of Claim 12, wherein the optical element is disposed spatially coincident with the display.
The apparatus of any one of Claim 10 to 14, wherein for each of the one or more wavelengths the phase modulation field comprises the source field for that wavelength divided by the image field for that wavelength.