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: An appliance control knob assembly includes an encoder with a rotatable shaft. A control knob is connected to the shaft and is mounted on a protuberance that extends into the control knob and provides a bearing mounting surface. The control knob has a hub portion rotationally supported by a bearing mounted within the protuberance, and which engages the rotatable encoder shaft. The encoder is mounted such that prior to attachment of the hub portion with the encoder shaft, the encoder is allowed a degree of movement to come into alignment with the hub portion.

Abstract: An appliance control knob assembly includes an encoder with a rotatable shaft. A control knob is connected to the shaft and is mounted on a protuberance that extends into the control knob and provides a bearing mounting surface. The control knob has a hub portion rotationally supported by a bearing mounted within the protuberance, and which engages the rotatable encoder shaft. The encoder is mounted such that prior to attachment of the hub portion with the encoder shaft, the encoder is allowed a degree of movement to come into alignment with the hub portion.