Autostereoscopic display apparatus
A display apparatus for implementing autostereoscopic display is disclosed. The apparatus includes a display pixel array configured to generate images, and an optical element array disposed above the pixel array, the optical elements being configured to direct different images to the viewer's left and right eyes to enable autostereoscopic perception. A memory stores computer-executable instructions, and a processor executes the instructions to dynamically adjust the brightness of individual pixels. An optimized brightness is derived from a continuously differentiable, monotonically increasing S-shaped function.
1 . A display apparatus, comprising:
a display pixel array configured to generate images for viewing by a viewer;
an optical element array disposed above the display pixel array, configured to direct different images to a viewer's left and right eyes to enable autostereoscopic perception;
a memory configured to store computer-executable instructions; and
a processor configured to execute the instructions, the processor further configured to:
obtain, for any given display pixel, a distance d between the pixel and a nearest end of a boundary separating adjacent images;
calculate a distance ratio D defined as D=d/Lp, wherein Lp is a pitch of the optical elements; and determine an optimized brightness value ratio B for the given display pixel based on the distance ratio D, wherein the optimized brightness value ratio B is a ratio of an optimized brightness value to a maximum brightness value of the given pixel, computed according to an S-shaped function that is continuously differentiable, approaches 0 as the distance ratio D approaches 0, approaches 1 as the distance ratio D approaches 1, and has an inflection point at D=0.5.
2 . The display apparatus of claim 1 , wherein the S-shaped function used to compute the optimized brightness value ratio B is a hyperbolic tangent function defined as: B=(1+tanh(C×(D−0.5)))/2, wherein C is a positive control coefficient that governs the slope of the brightness curve.
3 . The display apparatus of claim 1 , wherein the S-shaped function used to compute the optimized brightness value ratio B is an error function, defined as: B=(1+erf(α×(D−0.5)))/2, wherein a is a positive control coefficient that adjusts the steepness of the brightness transition near image boundaries.
4 . The display apparatus of claim 1 , wherein the S-shaped function used to compute the optimized brightness value ratio B is an arctangent function, defined as: B=(arctan(π×(D−0.5))/π)+0.5, wherein the function is continuously differentiable and shaped to produce a smooth S-curve with said inflection point.
5 . The display apparatus of claim 1 , wherein the S-shaped function used to compute the optimized brightness value ratio B is a Gudermannian function, defined as: B=2/π*arctan(tanh(C(D−0.5)/2))+1/2, wherein C is a positive control coefficient that governs the steepness of the brightness transition.
6 . The display apparatus of claim 1 , wherein the S-shaped function used to compute the optimized brightness value ratio B is a generalized logistic function, defined as: B=(1+e{circumflex over ( )}{−C(D−0.5)}){circumflex over ( )}{−α}, wherein C and a are positive constants that control the curve's slope and sharpness of transition near the inflection point.
7 . The display apparatus of claim 1 , wherein the S-shaped function used to determine the optimized brightness value ratio Bis defined as: B=x/sqrt(1+x ;\ 2), wherein x=C(D−0.5), and C is a positive control coefficient, such that higher values of C produce steeper brightness transitions near D=0.5.
8 . The display apparatus of claim 1 , wherein the S-shaped function used to determine the brightness adjustment is stored in the memory in the form of a lookup table (LUT), and wherein the processor is configured to access the LUT, based on the calculated distance ratio D, to retrieve a corresponding brightness value.