Mathematical Methods for Curves and Surfaces

Computational assessment of curvatures and principal directions of implicit surfaces from 3D scalar data.- Coefficient-based spline data reduction by hierarchical spaces.- A Versatile Strategy for the Implementation of Adaptive Splines.- Machinability of surfaces via motion analysis.- Simplicial Complex Entropy.- Precise Construction of Micro-structures and Porous Geometry via Functional Composition.- Partially Nested Hierarchical Refinement of Bivariate Tensor-product Splines with Highest Order Smoothness.- Regression analysis using a blending type spline construction.- On the Coupling of Decimation Operator with Subdivision Schemes for Multi-scale Analysis.- Translation surfaces and isotropic transport nets on rational minimal surfaces.- Towards Subdivision Surfaces C2 Everywhere.- Adaptivity with B-spline Elements.- Reconstructing sparse exponential polynomials from samples: Stirling numbers and Hermite interpolation.- Reparameterization and Adaptive Quadrature for the Isogeometric Discontinuous Galerkin Method.- Deconfliction and Surface Generation from Bathymetry Data Using LR B-splines.- Application of Longest Common Subsequence Algorithms to Meshing of Planar Domains with Quadrilaterals.- Order-randomized Laplacian mesh smoothing.