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There are many techniques that reconstruct continuous 3D surfaces from scattered point data coming from laser range scanners. One of the most commonly used representations are Point Set Surfaces (PSS) defined as the set of stationary points of a Moving Least Squares (MLS) projection operator. One interesting property of the MLS projection is to(More)
Nano-science and nano-technology as well as the fine modelling of the structure and mechanics of materials from the nanometric to the micrometric scales use descriptions ranging from the quantum to the statistical mechanics. This paper revisits the modelling at these scales and points out the main challenges related to the numerical solution of such models(More)
We present design principles for conceiving tangible user interfaces for the interactive physically-based deformation of 3D models. Based on these design principles, we developed a first prototype using a passive tangible user interface that embodies the 3D model. By associating an arbitrary reference material with the user interface, we convert the(More)
We present a new efficient implicit surface reconstruction technique from unorganized point sets that allows to integrate sharp edges by simply specifying the implicit equation of a half-space that cuts the sharp edge, i.e. where the derivative of the defining function of the implicit surface is discontinuous. As the underlying surface descriptor, we use(More)
This paper presents a new method to simulate problems with moving interfaces. We use a mesh-less method where the approximation functions can reproduce discontinuities in the field derivatives. The position of the discontinuity is defined independent of the nodes that define the approximation. We apply our method to the propagation of a melting boundary.
Automated fibre placement (AFP) is an incipient manufacturing process for composite structures. Despite its conceptual simplicity it involves many complexities related to the necessity of melting the thermoplastic at the interface tape-substrate, ensuring the consolidation that needs the diffusion of molecules and control the residual stresses installation(More)
Proper orthogonal decomposition (POD) and moving least-square-square methods are used to investigate the equation of the transient thermal using a nite discretization scheme (FDS) in the context of colloca-tion. A proper orthogonal decomposition (POD) approach coupled with the method of snapshots is used to generate a reduced solution from the space spanned(More)
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