Abstract: A computer system displays a first object that includes at least a first portion of the first object and a second portion of the first object and detects a first gaze input that meets first criteria, wherein the first criteria require that the first gaze input is directed to the first portion of the first object in order for the first criteria to be met. In response, the computer system displays a first control element that corresponds to a first operation associated with the first object, wherein the first control element was not displayed prior to detecting that the first gaze input met the first criteria, and detects a first user input directed to the first control element. In response to detecting the first user input directed to the first control element, the computer system performs the first operation with respect to the first object.

Abstract: A method for modeling a dynamic system (e.g., geological system) comprises: constructing an input parameter space for a model of the geological system, the input parameter space including more than three dimensions, and the model associated with response data, representing the input parameter space visually with three or fewer dimensions, reducing the input parameter space by conditioning the parameter space using at least a subset of the response data, and updating the representation of the input parameter space to visually represent the reduction of the parameter space.

Abstract: A computer-implemented method for generating a constrained Delaunay triangulation for a planar domain with boundaries and internal features. The boundaries and internal features of the domain are approximated with polylines. Unconstrained Delaunay triangulation is constructed for the domain. The unconstrained Delaunay triangulation is modified to conform triangle sides to the polylines. The modified triangulation is corrected to make it a constrained Delaunay triangulation. At least one of the steps of the method is implemented using a computer.

Abstract: A computer-implemented method for generating a constrained Delaunay triangulation for a planar domain with boundaries and internal features. The boundaries and internal features of the domain are approximated with polylines. Unconstrained Delaunay triangulation is constructed for the domain. The unconstrained Delaunay triangulation is modified to conform triangle sides to the polylines. The modified triangulation is corrected to make it a constrained Delaunay triangulation. At least one of the steps of the method is implemented using a computer.

Abstract: A method for generating constrained Voronoi grids in a plane with internal features and boundaries is disclosed. The disclosed method generally includes approximation of internal features and boundaries with polylines based on plane geometry. Protected polygons or points are generated around the polylines, and Delaunay triangulation of protected points or protected polygon vertices is constructed. Delaunay triangulation that honors protected polygons or points is generated in the rest of the gridding domain. The constrained Voronoi grid is then generated from the Delaunay triangulation, which resolves all of the approximated features and boundaries with the edges of Voronoi cells. Constrained Voronoi grids may be generated with adaptive cell sizes based on specified density criterion.

Abstract: A method for modeling a dynamic system (e.g., geological system) comprises: constructing an input parameter space for a model of the geological system, the input parameter space including more than three dimensions, and the model associated with response data, representing the input parameter space visually with three or fewer dimensions, reducing the input parameter space by conditioning the parameter space using at least a subset of the response data, and updating the representation of the input parameter space to visually represent the reduction of the parameter space.

Abstract: A method for generating constrained Voronoi grids in a plane with internal features and boundaries is disclosed. The disclosed method generally includes approximation of internal features and boundaries with polylines based on plane geometry. Protected polygons or points are generated around the polylines, and Delaunay triangulation of protected points or protected polygon vertices is constructed. Delaunay triangulation that honors protected polygons or points is generated in the rest of the gridding domain. The constrained Voronoi grid is then generated from the Delaunay triangulation, which resolves all of the approximated features and boundaries with the edges of Voronoi cells. Constrained Voronoi grids may be generated with adaptive cell sizes based on specified density criterion.