Abstract: A system, method and user interface for interactive mesh painting of 2D images for iterative high quality 3D modeling is disclosed herein. The system takes a set of calibrated 2D images as input and provides an intuitive user interface based on simple interactive 2D painting operations. The output is a textured, high quality 3D model that on average is obtained after just a few minutes of interaction. This can be achieved by utilizing only a minimum number of different modes (panning, zooming, painting) when interacting with the 2D images. In an embodiment, a component of the system is a GPU-based multi-view stereo reconstruction scheme, which is implemented by an incremental reconstruction algorithm, that runs in the background during user interaction with a 2D image so that the user does not notice any significant response delay in generation of the corresponding modeled 3D surface.

Abstract: A system and method for quadrangulating a triangle mesh is taught herein. After constructing an as smooth as possible symmetric cross field satisfying a sparse set of directional constraints (t) capture the geometric structure of the surface), the mesh is cut open in order to enable a low distortion unfolding. Then, a seamless globally smooth parametrization is computed whose iso-parameter lines follow the cross field directions. Notably, sparsely distributed directional constraints are sufficient to automatically determine the appropriate number, type and position of singularities in the quadrangulation. Both steps of the algorithm (cross field and parametrization) can be formulated as a mixed-integer problem which is solved very efficiently by an adaptive greedy solver, in order to generate high quality quad meshes in a fully automatic manner.

Abstract: The invention relates to especially simple, rapid and multidimensional surface reproduction. According to the inventive method for reconstructing a surface of a structure which is described by 3D data points in chronological order, 3D data points are processed using a linear interpolation in such a way that chronologically directly adjacent 3D data points remain unchanged.

Abstract: A method and system for approximately reproducing the surface of a workpiece should enable the contour of the workpiece to be reconstructed in a particularly simple manner. The invention provides that a starting body, which represents, in whole or in part, the workpiece in a first approximation step, is subdivided into a number of partial volumes, whereby for a reproduction of the workpiece in a second approximation step, the partial volumes are selected for which a step involving an analytical reproduction of the milling volume, which stretches from the milling cutter along a covered milling path, is established.

Abstract: The invention relates to especially simple, rapid and multidimensional surface reproduction. According to the inventive method for reconstructing a surface of a structure which is described by 3D data points in chronological order, 3D data points are processed using a linear interpolation in such a way that chronologically directly adjacent 3D data points remain unchanged.

Abstract: A method and system for approximately reproducing the surface of a workpiece should enable the contour of the workpiece to be reconstructed in a particularly simple manner. To this end, the invention provides that a starting body, which represents, in whole or in part, the workpiece in a first approximation step, is subdivided into a number of partial volumes, whereby for a reproduction of the workpiece in a second approximation step, the partial volumes are selected for which a step involving an analytical reproduction of the milling volume, which stretches from the milling cutter along a covered milling path, is established.

Abstract: In a method for reconstructing a surface of a workpiece, in particular a surface of a workpiece formed by a five-axis milling process, an initial body which at least partially represents the workpiece is computed with a plane grid formed of rays. Each ray is formed based on a sequence of height intervals and subdivided into material-relevant regions.