Abstract: Systems and methods for simulating illumination patterns on target surfaces in a space are disclosed. The system includes an input component and a simulation component. The input component receives a sampling angular range, a sampling polygon density, and a sampling polygon type. The simulation component traces sampling rays according to the sampling angular range and the sampling polygon density and type within a sampling range. The simulation component can further (1) generate an initial illumination pattern with a plurality of sampling polygon projections on the target surface; (2) assign the same value of an attribute in the sampling polygon projections defined by sampling rays through substantially the same route from the light source to the target surface; and (3) adjust the value of the attribute in the sampling polygon projection defined by sampling rays from different routes by interpolation.

Abstract: The present disclosure is directed to methods, systems, and apparatuses for modifying streaming video signals to be shown on a visual display. In one embodiment, a method includes receiving a streaming video signal with multiple display components. The method also includes isolating and transmitting the display components to a multiplier according to an associated clock signal for each of the display components. The method further includes fetching correction coefficients from a storage circuit. The correction coefficients correspond to individual display components. The method also includes presenting the correction coefficients to the multiplier along with the display components according to the associated clock signals, and adjusting the display components with the corresponding correction coefficients to form corrected display components of the streaming video signal. The method also includes collecting the adjusted display components into a corrected streaming video signal.