Accommodation-invariant computational near-eye displays
View Patent ↗Near-eye display systems in accordance with embodiments of the invention enable accommodation-invariant display control. One embodiment includes a near-eye display; a processor; a memory containing a target image and an accommodation-invariant display application; where the processor is configured by the accommodation-invariant display application to calculate an impulse response of the near-eye display; calculate a compensation image by generating a deconvolved color channel of the target image using a ratio of the target image and the impulse response, where the compensation image is a representation of the target image that remains in focus at a plurality of distances from the near-eye display; and display the compensation image on the near-eye display.
1. A display system comprising:
a near-eye display;
a processor;
a memory containing a target image and an accommodation-invariant display application;
where the processor is configured by the accommodation-invariant display application to:
calculate an impulse response of the near-eye display;
calculate a compensation image by generating a deconvolved color channel of the target image using a ratio of the target image and the impulse response and inverse filtering, wherein:
the compensation image is a representation of the target image that remains in focus at a plurality of distances from the near-eye display; and
the inverse filtering is evaluated by the processor by using the following expression:
i
c
(
x
,
y
)
=
ℱ
-
1
{
ℱ
{
i
(
x
,
y
)
}
ℱ
{
ρ
~
(
x
,
y
)
}
}
where i c is the compensation image, i is the target image, {tilde over (ρ)}(x, y) is the integrated point spread function, and ℑ{⋅} is the discrete Fourier transform; and
display the compensation image on the near-eye display.
2. The display system of claim 1 , wherein the impulse response is an integrated point spread function.
3. The display system of claim 2 , wherein the integrated point spread function is evaluated by the processor by using the following expression:
{tilde over (ρ)}( r )=∫ o T ρ( r,f ( t )) dt
where {tilde over (ρ)}(r) is the integrated point spread function, ρ(r,f(t)) is a Gaussian point spread function, T is a finite exposure time, and f(t) maps time to temporally-varying focal lengths.
4. The display system of claim 3 , wherein the integrated point spread function further comprises a variance which is evaluated by the processor using the following expression:
σ
~
2
=
c
2
4
∫
0
T
b
(
f
(
t
)
)
2
d
t
where {tilde over (σ)}is the variance, T is a finite exposure time, f(t) maps time to temporally-varying focal lengths, c is a constant, and b is a constant.
5. The display system of claim 1 , wherein generating the deconvolved color channel of the target image further comprises generating each color channel of the target image individually.
6. The display system of claim 1 , wherein the near-eye display is a head mounted display.
7. The display system of claim 1 , wherein the near-eye display is a virtual reality display.
8. The display system of claim 1 , wherein the near-eye display is an augmented reality display.
9. A method for displaying an image comprising:
calculating an impulse response of a near-eye display using a processor configured by an accommodation-invariant display application stored in a memory;
calculating a compensation image by generating a deconvolved color channel of a target image based on a ratio of the target image and the impulse response using inverse filtering using the processor, wherein:
the compensation image is a representation of the target image that remains in focus at a plurality of distances from the near-eye display; and
the inverse filtering is evaluated by the processor by using the following expression:
i
c
(
x
,
y
)
=
ℱ
-
1
{
ℱ
{
i
(
x
,
y
)
}
ℱ
{
ρ
~
(
x
,
y
)
}
}
where i c the compensation image, i is the target image, {tilde over (ρ)}(x,y) is the integrated point spread function and ℑ{⋅} is the discrete Fourier transform; and
displaying the compensation image on the near-eye display.
10. The method of claim 9 , wherein the impulse response is an integrated point spread function.
11. The method of claim 10 , wherein the integrated point spread function is evaluated by the processor by using the following expression:
{tilde over (ρ)}( r )=∫ o T ρ( r,f ( t )) dt
where {tilde over (ρ)}(r) is the integrated point spread function, ρ(r,f(t)) is a Gaussian point spread function, T is a finite exposure time, and f(t) maps time to temporally-varying focal lengths.
12. The method of claim 11 , wherein the integrated point spread function further comprises a variance which is evaluated by the processor using the following expression:
σ
~
2
=
c
2
4
∫
0
T
b
(
f
(
t
)
)
2
d
t
where {tilde over (σ)} is the variance, T is a finite exposure time, f(t) maps time to temporally-varying focal lengths, c is a constant, and b is a constant.
13. The method of claim 9 , wherein generating the deconvolved color channel of the target image further comprises generating each color of the target image individually.
14. The method of claim 9 , wherein the near-eye display is a head mounted display.
15. The method of claim 9 , wherein the near-eye display is a virtual reality display.
16. The method of claim 9 , wherein the near-eye display is an augmented reality display.