A notched 2D shape may encode information. For instance, a physical tag may display, form or include a polygon that is modified by notches and by one or more holes. This notched 2D shape may encode data that identifies, or provides information regarding, a physical product to which the tag is physically attached. Alternatively, this notched 2D shape may encode any other type of information, such as information about what we sometimes call a product shape or shape matrix. The notched shape may be an octagon that is modified by notches and by one or more holes.

A surveying data processing device includes a point cloud data acquiring unit, a three-dimensional model acquiring unit, a first correspondence relationship determining unit, an extended three-dimensional data generating unit, and a second correspondence relationship determining unit. The point cloud data acquiring unit acquires first point cloud data obtained by laser scanning, at a first viewpoint, and acquires second point cloud data obtained by laser scanning, at a second viewpoint. The three-dimensional model acquiring unit acquires data of a three-dimensional model. The first correspondence relationship determining unit obtains a correspondence relationship between the first point cloud data and the three-dimensional model. The extended three-dimensional data generating unit generates extended three-dimensional data in which the first point cloud data is extended, on the basis of the correspondence relationship. The second correspondence relationship determining unit determines a correspondence relationship between the extended three-dimensional data and the second point cloud data.

A surveying data processing device includes a point cloud data acquiring unit, a three-dimensional model acquiring unit, a first correspondence relationship determining unit, an extended three-dimensional data generating unit, and a second correspondence relationship determining unit. The point cloud data acquiring unit acquires first point cloud data obtained by laser scanning, at a first viewpoint, and acquires second point cloud data obtained by laser scanning, at a second viewpoint. The three-dimensional model acquiring unit acquires data of a three-dimensional model. The first correspondence relationship determining unit obtains a correspondence relationship between the first point cloud data and the three-dimensional model. The extended three-dimensional data generating unit generates extended three-dimensional data in which the first point cloud data is extended, on the basis of the correspondence relationship. The second correspondence relationship determining unit determines a correspondence relationship between the extended three-dimensional data and the second point cloud data.

Examples of methods for model prediction are described herein. In some examples, a method includes predicting a compensated model. In some examples, the compensated model is predicted based on a three-dimensional (3D) object model. In some examples, a method includes predicting a deformed model. In some examples, the deformed mode is predicted based on the compensated model.

Examples of methods for model prediction are described herein. In some examples, a method includes predicting a compensated model. In some examples, the compensated model is predicted based on a three-dimensional (3D) object model. In some examples, a method includes predicting a deformed model. In some examples, the deformed mode is predicted based on the compensated model.

A method of operating a graphics processor when rendering a frame representing a view of a scene using a ray tracing process in which part of the processing for a ray tracing operation is offloaded to a texture mapper unit of the graphics processor. Thus, when the graphics processor's execution unit is executing a program to perform a ray tracing operation the execution unit is able to message the texture mapper unit to perform one or more processing operations for the ray tracing operation. This operation can be triggered by including an appropriate instruction to message the texture mapper unit within the ray tracing program.

A method of operating a graphics processor when rendering a frame representing a view of a scene using a ray tracing process in which part of the processing for a ray tracing operation is offloaded to a texture mapper unit of the graphics processor. Thus, when the graphics processor's execution unit is executing a program to perform a ray tracing operation the execution unit is able to message the texture mapper unit to perform one or more processing operations for the ray tracing operation. This operation can be triggered by including an appropriate instruction to message the texture mapper unit within the ray tracing program.

A method for augmenting a three-dimensional model of a component in a computer-aided design (CAD) includes receiving a three-dimensional CAD model of the component. The three-dimensional CAD model includes a plurality of component surfaces. The method further includes generating a first three-dimensional surface representation of a first component surface of the plurality of component surfaces and indexing the first three-dimensional surface representation as a first function-attributed surface (FAS) element by assigning the first three-dimensional surface representation a unique first FAS ID which associates the first FAS element with the component.

A method for augmenting a three-dimensional model of a component in a computer-aided design (CAD) includes receiving a three-dimensional CAD model of the component. The three-dimensional CAD model includes a plurality of component surfaces. The method further includes generating a first three-dimensional surface representation of a first component surface of the plurality of component surfaces and indexing the first three-dimensional surface representation as a first function-attributed surface (FAS) element by assigning the first three-dimensional surface representation a unique first FAS ID which associates the first FAS element with the component.

A method for creating a space-filling solid model includes (a) defining a three-dimensional (3D) domain, (b) defining a Voronoi site geometry for each of a plurality of Voronoi sites, (c) defining a spatial arrangement of the plurality of Voronoi sites, (d) arranging the plurality of Voronoi sites within the 3D domain according to the defined spatial arrangement, and (e) partitioning the 3D domain based on the Voronoi site geometry of each the plurality of Voronoi sites defined in (b) and the spatial arrangement of the plurality of Voronoi sites defined in (c) using a distance function to create the space-filling solid model.