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Titlebook: Curves and Surfaces; 8th International Co Jean-Daniel Boissonnat,Albert Cohen,Larry L. Schum Conference proceedings 2015 Springer Internati

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A Curvature Smooth Lofting Scheme for Singular Point Treatments, to the noses of subsonic/transonic aerodynamic and some hydrodynamic crafts. A degeneracy in the tensor product parameterization is typical in representations of spheres and ellipsoids, or topological equivalents. In that case a grid of data typically sets a whole row to a single value, so it becom
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A Consistent Statistical Framework for Current-Based Representations of Surfaces, currents (Glaunès and Vaillant, 2005). This extension is inspired from the theory of generalized stochastic processes due to Itô (1954) and Gelfand and Vilenkin (1964). It consists of random linear forms defined on a space of vector fields. Upon this representation, we build a probabilistic model t
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,Isotropic Möbius Geometry and i-M Circles on Singular Isotropic Cyclides,ce changes under i-M inversions while the number of families of i-M circles remain constant. This gives us a generalization of the classification of families of lines and i-M circles on quadratic surfaces in . to isotropic cyclides with real singularities, containing up to 4 such families.
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Symbolic Computation of Equi-affine Evolute for Plane B-Spline Curves, article extends those results to the equi-affine plane geometry. Analogously to Euclidean geometry, the equi-affine evolute of both B-spline and NURBS curves are NURBS curves and an algorithm for the symbolic computation is given for B-spline curves. This results in a new method to analyze the glob
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On-line CAD Reconstruction with Accumulated Means of Local Geometric Properties,eparate steps. The operator of the laser scanner has no feedback from the reconstruction results. On-line reconstruction of the CAD geometry allows for such an immediate feedback..We propose a method for on-line segmentation and reconstruction of CAD geometry from a stream of point data based on mea
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Analysis of Intrinsic Mode Functions Based on Curvature Motion-Like PDEs,2.. This is achieved by reconsidering the so-called local mean which is formulated now with the morphological median operator. Doing this helps us derive curvature motion-like partial differential equations (PDEs) that mimic the 2. sifting process. In addition to the mathematical framework brought o
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Optimality of a Gradient Bound for Polyhedral Wachspress Coordinates,dra. This bound provides a shape-regularity condition that guarantees the convergence of the associated polyhedral finite element method for second order elliptic problems. In this paper we prove the optimality of the bound using a family of hexahedra that deform a cube into a tetrahedron.
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Differential Geometry Revisited by Biquaternion Clifford Algebra,tly Clifford algebras. Clifford algebras yield an excellent representation of the rotation group and of the Lorentz group which are the cornerstones of the theory of moving frames. Though Clifford algebras are all related to quaternions via the Clifford theorem, a biquaternion formulation of differe
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