Abstract: An embodiment may include, for a real world moving object moving along a real world path, modeling trajectory of the moving object along a polygon. The polygon may have a plurality of line segments and vertices and may represent the real world path for the moving object. A turn radius may be calculated at each vertex of the polygon. For a given vertex, the calculated turn radius may be associated with line segments of the polygon that originate from the given vertex. Using the calculated turn radii, a single-dimensional model may be formed of the real world path, where a respective calculated turn radius of the given vertex may serve as a measure of curvature of that portion of the real world path represented by the given vertex. The calculated turn radius of the respective given vertex may be defined by lane width of the real world path.

Abstract: The present invention is directed to a computer system and methods for designing a tunnel in accordance with tunnel design parameters. The computer system and methods load a tunnel design as a visual model of a respective tunnel on a user interface. The computer system and methods enable a user to select a point on the user interface, such that the point defines one or more objects of the visual model. The computer system and methods further enable the user, using a pointing device, to move the point toward a desired location on the user interface, such that the pointing device traverses a plurality of locations on the user interface. As the pointing device traverses each of the plurality of locations, the computer system and methods provide a real-time preview of the respective placement of the selected point and the one or more defined objects on the user interface.

Abstract: Embodiments provide methods and systems for modeling a proposed geological volume. One such embodiment begins by digitally creating a three-dimensional (3D) model of a geological volume that includes one or more variables, each of which is a mathematical factor in an analysis confidence of one or more sub-volumes of the volume. Next, standardized values for each of the one or more variables are defined. In turn, the analysis confidence, e.g. mined, ore quality, etc., of the one or more sub-volumes is mathematically determined. Finally, the model is updated to include the determined analysis confidence of the one or more sub-volumes.

Abstract: In an embodiment, a computer-implemented method includes, in a processor, slicing an ore-body solid model stored in a memory into a plurality of horizontal and a plurality of vertical pieces and deriving, from the sliced horizontal pieces and the vertical pieces, information corresponding to stope blocks and pillar blocks of the ore-body, stope blocks and pillar blocks corresponding to particular pieces of the plurality of horizontal pieces and the plurality of vertical pieces.