Abstract: This disclosure notably relates to a computer-implemented method for forming a dataset configured for learning a neural network architecture configured for inferring missing image details of a point cloud rendering. The method comprises the steps of obtaining a 3D mesh scene, computing a point cloud representation of the 3D mesh scene, generating one or more camera views of the 3D mesh scene and the point cloud representation. For each camera view, the method renders a viewpoint of the point cloud representation, of the 3D mesh scene, computes another point cloud representation of the viewpoint of the 3D mesh scene, and renders a viewpoint of the other point cloud representation. The method also comprises obtaining a pair of training samples, each comprising respectively the rendered viewpoint of the point cloud representation and the rendered viewpoint of the other point cloud representation; and adding the pair of training samples to the dataset.

Abstract: A computer-implemented method for designing a mechanical product formed in one or more materials including obtaining inputs including a finite element model representing the mechanical product and having an initial value of design variables, one or more load cases, a corresponding load history for each load case, boundary conditions, fatigue properties of the one or more materials, and a fatigue calculation scheme. The method further includes computing a distribution of fatigue damage over the finite element model based on the inputs, computing a distribution of sets of fatigue damage sensitivities over the finite element model based on the computed distribution of fatigue damage, each fatigue damage sensitivity of each set approximating a derivative of the fatigue damage relative to a respective design variable, and updating the value of the design variables based on the fatigue damage sensitivities.

Abstract: A computer-implemented method for vehicle impact analysis including obtaining a B-Rep representing an outer surface of a vehicle, the B-Rep having faces and obtaining a radius value for a contact sphere. The method also includes determining one or more two-point-contact curves of the B-Rep for the radius value. The determining includes, for each respective pair of portions of a plurality of pairs of portions of the B-Rep, applying a respective two-point-contact-curve computing algorithm. The computing algorithm is based on the respective pair of portions. The computing algorithm is parallelized over the plurality of pairs of portions. The method forms an improved solution for vehicle impact analysis.

Abstract: A computer-implemented method for vehicle impact analysis including obtaining a B-Rep representing an outer surface of a vehicle, the B-Rep having faces and obtaining a radius value for a contact sphere. The method also includes determining one or more two-point-contact curves of the B-Rep for the radius value. The determining includes, for each respective two-point-contact curve, solving a respective differential equation based on the B-Rep. The method forms an improved solution for vehicle impact analysis.

Abstract: A method for simulation, in particular for computerized calculation, of at least one physical property of a system of one or more chemical species that includes at least one chemical species dissolved in at least one inhomogeneously distributed chemical species, using a quasi-chemical calculation based on the statistical thermodynamics of pairwise interactions of molecule surface segments. According to the invention, pressure, that arises from the statistical thermodynamic over- or underpopulation of spatial regions, interacts as an additional continuum response function with the atomic volumes and thus influences the thermodynamic weight of a molecular state in the system, during the iterative calculation of the statistical thermodynamic distribution of molecules in 1-dimensionally, 2-dimensionally, or 3-dimensionally structured simulation volumes of liquid systems.