Abstract: Apparatuses, systems, and methods are disclosed for stochastic linear detection. A digital signal processor determines information about a plurality of transmitted signals based on a plurality of received signals. An initialization module determines an estimator matrix and a noise shaping matrix based on channel state information that relates the transmitted signals to the received signals. A sample generation module stochastically generates a plurality of signal estimates so that each signal estimate is a sum of a fixed component and a random component. The fixed component may be based on applying the estimator matrix to a vector of the received signals, and the random component may be based on applying the noise shaping matrix to generated noise. An output module sends soft information to an error-correcting code (ECC) decoder for decoding bits carried by the transmitted signals. The soft information may be based on the plurality of signal estimates.

Abstract: Apparatuses, systems, and methods are disclosed for stochastic interference cancellation. A digital signal processor decodes a set of transmitted signals based on a set of received signals. A projection module updates a subset of a set of estimated signals based on error information and on a corresponding subset of mapping information. Error information is based on the received signals and the set of estimated signals. Mapping information indicates how the received signals are affected by the transmitted signals. A stochastic update module adjusts the set of estimated signals based on generated noise. An interference cancellation module updates the error information based on the adjusted estimated signals.

Abstract: In order to circumvent the problems above, the present invention aims to expand the scope of the usage of the information included in three-dimensional shape data by acquiring the shape information included in the three-dimensional shape data automatically on a shape element basis and setting linkages across the acquired information. Linked processing can be performed across the corresponding shape information having different shape elements by adding a linkage identifier to the shape information when generating the shape information from the three-dimensional shape data. For example, when processing for a single shape information is carried out, other shape information can be edited by linkage.

Abstract: The objective of the present invention is to provide a method for approximating and displaying a three-dimensional object represented by CAD data.

Abstract: The objective of the invention is to provide a three-dimensional data display apparatus that easily saves an entire or a portion of the display state of the graphics, so that the data can be selected and restored according to the instructions of the user.

Abstract: In order to circumvent the problems above, the present invention aims to expand the scope of the usage of the information included in three-dimensional shape data by acquiring the shape information included in the three-dimensional shape data automatically on a shape element basis and setting linkages across the acquired information. Linked processing can be performed across the corresponding shape information having different shape elements by adding a linkage identifier to the shape information when generating the shape information from the three-dimensional shape data. For example, when processing for a single shape information is carried out, other shape information can be edited by linkage.

Abstract: A method of generating a free-form surface model includes the steps of applying linear transformation to a lattice polygon model to generate vertices of a free-form surface model corresponding to respective vertices of the lattice polygon model, and generating control points of cubic Bezier curves that connect the vertices of the free-form surface model, and that correspond to respective edges of the lattice polygon model.