Abstract: In order to perform denoising on a three-dimensional (3D) spherical measurement of light (such as spherical irradiance probe information or the results of a 3D gonioreflectometry capture), the 3D spherical measurement of light is converted to a two-dimensional (2D) measurement by creating multiple copies of the 3D spherical measurement of light, determining a two-dimensional sub-domain (e.g., a rectangular sub-domain) for each of the multiple copies, and stitching the plurality of two-dimensional sub-domains together in a toroidal configuration. Denoising may then be performed on this 2D measurement via a machine learning implementation or other means. This may result in more accurate 3D spherical light probes that require fewer light measurement samples to generate accurate light measurements.

Abstract: Methods and systems for rendering distinct components of a combined user interface (UI) are described herein. A processing device receives a user request for a media item to be presented via a combined UI including one or more video content components and one or more UI control components. The processing device generates a rendering of the video content components and transmits a first stream including the rendering of the video content components to an endpoint device, wherein the first stream is encoded to a first resolution and wherein the rendering of the video content components is to be merged with a rendering of the UI control components into the combined UI at the endpoint device, the combined UI having a second resolution.

Abstract: Methods and systems improve quality of a hex-mesh by: performing a first iterative procedure which starts with the input hex-mesh and which outputs an output hex-mesh having improved quality. Performing the first iterative procedure comprises: initializing a current hex-mesh to be equal to the input hex mesh; for each iteration of the first iterative procedure: performing an optimization of an energy function over a plurality of directed-edges in the current hex-mesh to determine updated vertex positions for vertices in the current hex-mesh, wherein for each directed edge, the energy function comprises a term that expresses a preference for the directed edge to be aligned with normal vectors of base triangles of an edge-cone corresponding to the directed edge; and updating the current hex-mesh with the updated vertex positions; and after one or more iterations, setting the output hex-mesh to be equal to the current hex-mesh.

Abstract: A method for generating a polycube segmentation of an input object comprises: providing an input mesh of the object comprising a plurality of surface faces; generating an initial polycube labeling for the faces by assigning, to each face, a label which is one of six directions (±X,±Y,±Z) aligned with a set of Cartesian axes, the initial polycube labeling defining a plurality of charts, and generating the initial polycube labeling comprising effecting a tradeoff between competing objectives of: making the initial polycube labeling relatively compact; and making the initial polycube labeling relatively faithful to the input object. The method further comprises generating an updated polycube segmentation by changing the label assigned to each of one or more surface faces and thereby modifying one or more of the charts to provide the charts with monotonic boundaries.

Abstract: Methods and systems improve quality of a hex-mesh by: performing a first iterative procedure which starts with the input hex-mesh and which outputs an output hex-mesh having improved quality. Performing the first iterative procedure comprises: initializing a current hex-mesh to be equal to the input hex mesh; for each iteration of the first iterative procedure: performing an optimization of an energy function over a plurality of directed-edges in the current hex-mesh to determine updated vertex positions for vertices in the current hex-mesh, wherein for each directed edge, the energy function comprises a term that expresses a preference for the directed edge to be aligned with normal vectors of base triangles of an edge-cone corresponding to the directed edge; and updating the current hex-mesh with the updated vertex positions; and after one or more iterations, setting the output hex-mesh to be equal to the current hex-mesh.

Abstract: A method for generating a polycube segmentation of an input object comprises: providing an input mesh of the object comprising a plurality of surface faces; generating an initial polycube labeling for the faces by assigning, to each face, a label which is one of six directions (±X,±Y,±Z) aligned with a set of Cartesian axes, the initial polycube labeling defining a plurality of charts, and generating the initial polycube labeling comprising effecting a tradeoff between competing objectives of: making the initial polycube labeling relatively compact; and making the initial polycube labeling relatively faithful to the input object. The method further comprises generating an updated polycube segmentation by changing the label assigned to each of one or more surface faces and thereby modifying one or more of the charts to provide the charts with monotonic boundaries.