Method and apparatus for performing fourier transformation
US-2017091916-A1 · Mar 30, 2017 · US
US10901367B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10901367-B2 |
| Application number | US-201715819656-A |
| Country | US |
| Kind code | B2 |
| Filing date | Nov 21, 2017 |
| Priority date | Nov 30, 2016 |
| Publication date | Jan 26, 2021 |
| Grant date | Jan 26, 2021 |
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A method of obtaining a focus term by using a periodicity of the focus term is provided. The focus term may be used in a plurality of operation processes for processing image data.
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What is claimed is: 1. An image data processing method comprising: obtaining a coordinate value of a pixel on a hologram image, wherein the coordinate value corresponds to a location of a pupil relative to a display, on which the hologram image is to be displayed; obtaining a reference constant which corresponds to the coordinate value, from among a plurality of constants pre-stored as candidate values of a focus term for focusing the hologram image on the display; obtaining the focus term by updating a phase of the reference constant according to a section, from among a plurality of predetermined sections constituting one periodic pattern of the focus term, the section comprising a square of a distance of the coordinate value relative to the display, wherein the phase of the reference constant is updated by a different value according to each section of the plurality of predetermined sections; obtaining image data by performing a mathematical operation using the focus term, and storing the image data; and displaying, on the display, the hologram image by using stored image data. 2. The method of claim 1 , wherein a period of the reference constant, according to a change in the square of the distance of the coordinate value from an origin, is shorter than one period of the focus term, according to the change in the square of the distance of the coordinate value from the origin. 3. The method of claim 1 , wherein the obtaining the image data comprises: performing a first Fourier operation based on a distance between the display on which the hologram image is to be displayed and the pupil; performing a second Fourier operation based on a distance between the pupil and retina, by using, as an input of the second Fourier operation, a result of a mathematical operation on a result of the first Fourier operation and the focus term; and obtaining a brightness value of the hologram image based on a result of the second Fourier operation; and wherein the storing the image data comprises storing the brightness value of the hologram image. 4. The method of claim 1 , wherein the section comprising the coordinate value is a quadrant comprising the focus term, among four quadrants divided by an X axis and a Y axis, wherein the focus term corresponds to the square of the distance of the coordinate value from an origin on two-dimensional coordinates. 5. The method of claim 1 , wherein the obtaining the reference constant comprises: determining an address in which the reference constant is stored, according to the coordinate value; and obtaining the reference constant by loading data recorded on the address from a memory. 6. The method of claim 5 , wherein a bitstream indicating the address comprises a plurality of bits indicating the section comprising the coordinate value, and the obtaining the reference constant by loading the data recorded on the address from the memory comprises obtaining the reference constant by using a bit not included in the bitstream. 7. The method of claim 6 , wherein the plurality of bits indicating the address comprises high order 2 bits of the bitstream. 8. The method of claim 1 , wherein the obtaining the focus term comprises updating the phase of the reference constant by a predetermined value. 9. The method of claim 8 , wherein the predetermined value comprises at least one of 90° , 180° , and 270°. 10. An image data processing apparatus comprising: a display; a memory configured to store image data and software; and a processor configured to execute the software and configured to operate as instructed by the software to: obtain a coordinate value of a pixel on a hologram image, wherein the coordinate value corresponds to a location of a pupil relative to the display, on which the hologram image is to be displayed, obtain a reference constant which is a constant corresponding to the coordinate value, from among a plurality of constants pre-stored as candidate values of a focus term for focusing the hologram image on the display, obtain the focus term by updating a phase of the reference constant according to a section, from among a plurality of predetermined sections constituting one periodic pattern of the focus term, the section comprising a square of a distance of the coordinate value relative to the display, wherein the phase of the reference constant is updated by a different value according to each section of the plurality of predetermined sections obtain the image data by performing a mathematical operation using the focus term; and control the display to display the hologram image using the image data stored in the memory. 11. The apparatus of claim 10 , wherein a period of the reference constant, according to a change in the square of the distance of the coordinate value from an origin, is shorter than one period of the focus term according to the change in the square of the distance of the coordinate value from the origin. 12. The apparatus of claim 10 , wherein the processor is further configured to: perform a first Fourier operation based on a distance between the display on which the hologram image is to be displayed and the pupil, perform a second Fourier operation based on a distance between the pupil and retina, by using, as an input of the second Fourier operation, a result of a mathematical operation on a result of the first Fourier operation and the focus term, and obtain a brightness value of the hologram image based on a result of the second Fourier operation. 13. The apparatus of claim 10 , wherein the section comprising the coordinate value is a quadrant comprising the focus term, among four quadrants divided by an X axis and a Y axis, wherein the focus term corresponds to the square of the distance of the coordinate value from an origin on two-dimensional coordinates. 14. The apparatus of claim 10 , wherein the processor is further configured to determine an address in which the reference constant is stored, according to the coordinate value, and to obtain the reference constant by loading data recorded on the address from the memory. 15. The apparatus of claim 14 , wherein a bitstream indicating the address comprises a plurality of bits indicating the section comprising the coordinate value, and the processor is further configured to obtain the reference constant by using a bit not included in the bitstream. 16. The apparatus of claim 15 , wherein the plurality of bits indicating the address comprises high order 2 bits of the bitstream. 17. The apparatus of claim 15 , wherein the memory is further configured to store a lookup table regarding data of the reference constant. 18. A non-transitory computer-readable recording medium having recorded thereon a program for performing a method comprising: obtaining a coordinate value of a pixel on a hologram image, wherein the coordinate value corresponds to a location of a pupil relative to a display, on which the hologram image is to be displayed; obtaining a reference constant which corresponds to the coordinate value, from among a plurality of constants pre-stored as candidate values of a focus term for focusing the hologram image on the display; obtaining the focus term by updating a phase of the reference constant according to a section, from among a plurality of predetermined sections constituting one periodic pattern of the focus term, the section comprising a square of a distance of the coordinate value relative to the display, wherein the phase of the reference constant is updated by a different value according to each s
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