Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, a device includes at least one processor and at least one memory coupled to the at least one processor and having instructions executable by the at least one processor to perform operations including: obtaining primitive data of a plurality of primitives corresponding to at least one object based on information of the plurality of primitives, the information of the plurality of primitives comprising respective primitive identifiers of the plurality of primitives; for each primitive of the plurality of primitives, determining an electromagnetic (EM) field contribution to each of a plurality of display elements of a display based on primitive data of the primitive; and for each of the plurality of display elements of the display, generating a sum of the EM field contributions of the plurality of primitives to the display element.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, a system includes a display and a controller. The display includes: a backplane having a plurality of circuits and a plurality of display elements arranged on the backplane. The plurality of display elements form an irregular pattern. Each of the plurality of display elements is coupled to a respective circuit of the plurality of circuits. The controller is coupled to the display and configured to transmit at least one control signal to at least one display element of the display for modulating at least one property of the at least one display element.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, a computer-implemented method of manipulating data of a plurality of primitives corresponding to at least one object includes: for each of a plurality of vertices of the plurality of primitives, associating a respective vertex identifier of the vertex with respective vertex data of the vertex, and storing the association between the respective vertex identifier and the respective vertex data of the vertex in a memory; and for each of the plurality of primitives, associating a respective primitive identifier of the primitive with one or more respective vertex identifiers of one or more vertices of the primitive in the memory, and storing an association between the respective primitive identifier and the one or more respective vertex identifiers for the primitive in the memory.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, a system includes a display and a controller. The display includes: a backplane having a plurality of circuits and a plurality of display elements arranged on the backplane. The plurality of display elements form an irregular pattern. Each of the plurality of display elements is coupled to a respective circuit of the plurality of circuits. The controller is coupled to the display and configured to transmit at least one control signal to at least one display element of the display for modulating at least one property of the at least one display element.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, an optical device includes: an optical guiding device configured to guide light to propagate along a first direction within the optical guiding device; an in-coupling diffractive structure configured to diffract the light to propagate in the optical guiding device; and out-coupling diffractive structures configured to diffract at least part of the light out of the optical guiding device along a second direction different from the first direction. The out-coupling diffractive structures are configured to have gradually increased diffraction efficiencies for the light along the first direction away from the in-coupling diffractive structure.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, a system includes a display and a controller. The display includes: a backplane having a plurality of circuits and a plurality of display elements arranged on the backplane. The plurality of display elements form an irregular pattern. Each of the plurality of display elements is coupled to a respective circuit of the plurality of circuits. The controller is coupled to the display and configured to transmit at least one control signal to at least one display element of the display for modulating at least one property of the at least one display element.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, a system includes: a display having a plurality of display elements and a driving device coupled to the driving device and configured to: obtain a hologram for the display, wherein the hologram comprises, for each display element of the plurality of display elements, a respective sum of electromagnetic (EM) field contributions of a plurality of primitives corresponding to at least one object to the display element; and generate, for each display element of the plurality of display elements, a respective modulation control signal based on the respective sum of EM field contributions of the plurality of primitives to the display element.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, a computer-implemented method of manipulating data of a plurality of primitives corresponding to at least one object includes: for each of a plurality of vertices of the plurality of primitives, associating a respective vertex identifier of the vertex with respective vertex data of the vertex, and storing the association between the respective vertex identifier and the respective vertex data of the vertex in a memory; and for each of the plurality of primitives, associating a respective primitive identifier of the primitive with one or more respective vertex identifiers of one or more vertices of the primitive in the memory, and storing an association between the respective primitive identifier and the one or more respective vertex identifiers for the primitive in the memory.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, a system includes a display and a controller. The display includes: a backplane having a plurality of circuits and a plurality of display elements arranged on the backplane. The plurality of display elements form an irregular pattern. Each of the plurality of display elements is coupled to a respective circuit of the plurality of circuits. The controller is coupled to the display and configured to transmit at least one control signal to at least one display element of the display for modulating at least one property of the at least one display element.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, a system includes a display and a controller. The display includes: a backplane having a plurality of circuits and a plurality of display elements arranged on the backplane. The plurality of display elements form an irregular pattern. Each of the plurality of display elements is coupled to a respective circuit of the plurality of circuits. The controller is coupled to the display and configured to transmit at least one control signal to at least one display element of the display for modulating at least one property of the at least one display element.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, a system includes a display and a controller. The display includes: a backplane having a plurality of circuits and a plurality of display elements arranged on the backplane. The plurality of display elements form an irregular pattern. Each of the plurality of display elements is coupled to a respective circuit of the plurality of circuits. The controller is coupled to the display and configured to transmit at least one control signal to at least one display element of the display for modulating at least one property of the at least one display element.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, a system includes a display and a controller. The display includes: a backplane having a plurality of circuits and a plurality of display elements arranged on the backplane. The plurality of display elements form an irregular pattern. Each of the plurality of display elements is coupled to a respective circuit of the plurality of circuits. The controller is coupled to the display and configured to transmit at least one control signal to at least one display element of the display for modulating at least one property of the at least one display element.

Abstract: A device includes a backplane and a plurality of elements arranged on the backplane. The plurality of elements form an irregular pattern. The backplane includes a plurality of circuits. The plurality of elements are coupled to the plurality of circuits by conductive vias that are regularly spaced.

Abstract: Methods, apparatus, devices, and systems for three-dimensional (3D) displaying objects are provided. In one aspect, a method includes obtaining data including respective primitive data for primitives corresponding to an object, determining an electromagnetic (EM) field contribution to each element of a display for each of the primitives by calculating an EM field propagation from the primitive to the element, generating a sum of the EM field contributions from the primitives for each of the elements, transmitting to each of the elements a respective control signal for modulating at least one property of the element based on the sum of the EM field contributions, and transmitting a timing control signal to an illuminator to activate the illuminator to illuminate light on the display, such that the light is caused by the modulated elements of the display to form a volumetric light field corresponding to the object.

Abstract: Methods, apparatus, devices, subsystems, and systems for holographically displaying three-dimensional objects are provided. In one aspect, an optical device includes: an optical guiding device configured to guide light to propagate along a first direction within the optical guiding device, the light including multiple colors of light; an in-coupling diffractive structure configured to diffract the light to propagate in the optical guiding device; and a plurality of out-coupling diffractive structures arranged downstream of the in-coupling diffractive structure along the first direction and configured to diffract at least part of the light out of the optical guiding device along a second direction different from the first direction. The optical device can be configured for at least one of: color crosstalk suppression among the multiple colors of light, display zero order light suppression, dispersion compensation, or ambient light blocking.

Abstract: A device includes a backplane and a plurality of elements arranged on the backplane. The plurality of elements form an irregular pattern. The backplane includes a plurality of circuits. The plurality of elements are coupled to the plurality of circuits by conductive vias that are regularly spaced.

Abstract: Methods, apparatus, devices, and systems for three-dimensional (3D) displaying objects are provided. In one aspect, a method includes obtaining data including respective primitive data for primitives corresponding to an object, determining an electromagnetic (EM) field contribution to each element of a display for each of the primitives by calculating an EM field propagation from the primitive to the element, generating a sum of the EM field contributions from the primitives for each of the elements, transmitting to each of the elements a respective control signal for modulating at least one property of the element based on the sum of the EM field contributions, and transmitting a timing control signal to an illuminator to activate the illuminator to illuminate light on the display, such that the light is caused by the modulated elements of the display to form a volumetric light field corresponding to the object.

Abstract: A device includes a backplane and a plurality of elements arranged on the backplane. The plurality of elements form an irregular pattern. The backplane includes a plurality of circuits. The plurality of elements are coupled to the plurality of circuits by conductive vias that are regularly spaced.

Abstract: Methods, apparatus, devices, and systems for three-dimensional (3D) displaying objects are provided. In one aspect, a method includes obtaining data including respective primitive data for primitives corresponding to an object, determining an electromagnetic (EM) field contribution to each element of a display for each of the primitives by calculating an EM field propagation from the primitive to the element, generating a sum of the EM field contributions from the primitives for each of the elements, transmitting to each of the elements a respective control signal for modulating at least one property of the element based on the sum of the EM field contributions, and transmitting a timing control signal to an illuminator to activate the illuminator to illuminate light on the display, such that the light is caused by the modulated elements of the display to form a volumetric light field corresponding to the object.

Abstract: Methods, apparatus, devices, and systems for three-dimensional (3D) displaying objects are provided. In one aspect, a method includes obtaining data including respective primitive data for primitives corresponding to an object, determining an electromagnetic (EM) field contribution to each element of a display for each of the primitives by calculating an EM field propagation from the primitive to the element, generating a sum of the EM field contributions from the primitives for each of the elements, transmitting to each of the elements a respective control signal for modulating at least one property of the element based on the sum of the EM field contributions, and transmitting a timing control signal to an illuminator to activate the illuminator to illuminate light on the display, such that the light is caused by the modulated elements of the display to form a volumetric light field corresponding to the object.