A Laguerre geometric approach to rational offsets

From MaRDI portal
Publication:1128655

DOI10.1016/S0167-8396(97)00024-1zbMath0903.68190MaRDI QIDQ1128655

Martin Peternell, Helmut Pottmann

Publication date: 13 August 1998

Published in: Computer Aided Geometric Design (Search for Journal in Brave)




Related Items (47)

Unifying theory of Pythagorean-normal surfaces based on geometric algebraParameterizing surfaces with certain special support functions, including offsets of quadrics and rationally supported surfacesClifford algebra, Lorentzian geometry, and rational parametrization of canal surfacesSurfaces with Pythagorean normals along rational curvesOn the univalence of polyharmonic mappingsDesign and implementation of maple packages for processing offsets and conchoidsBiharmonic maps and Laguerre minimal surfacesSurfaces parametrized by the normalsIsotropic Möbius Geometry and i-M Circles on Singular Isotropic CyclidesPiecewise rational approximation of square-root parameterizable curves using the Weierstrass formSkinning of circles and spheres\(G^{1}\) Hermite interpolation by PH cubics revisitedIsoperimetric equalities for rosettesOn the different shapes arising in a family of plane rational curves depending on a parameterOn rational Minkowski Pythagorean hodograph curvesRational generalized offsets of rational surfacesRational offsets of regular quadrics revisitedGood global behavior of offsets to plane algebraic curvesConchoid surfaces of rational ruled surfacesLocal shape of offsets to algebraic curvesChannel surfaces in Lie sphere geometryCurves and surfaces represented by polynomial support functionsCharacterizing envelopes of moving rotational cones and applications in CNC machiningExploring hypersurfaces with offset-like convolutionsA unified Pythagorean hodograph approach to the medial axis transform and offset approximationDegree formulae for offset curvesCircle approximation using LN Bézier curves of even degree and its applicationOn convolutions of algebraic curvesInterpolation of Hermite data by clamped Minkowski Pythagorean hodograph B-spline curvesRational Offset Surfaces and their Modeling ApplicationsReparameterization of Curves and Surfaces with Respect to Their ConvolutionOn certain harmonic mappings with some fixed coefficientsALGEBRAICALLY OPTIMAL PARAMETRIZATIONS OF QUASI-POLYNOMIAL ALGEBRAIC CURVESDirichlet problem, univalency and Schwarz lemma for biharmonic mappingsGood local behavior of offsets to rational regular algebraic surfacesRational hypersurfaces with rational convolutionsConvolution surfaces of quadratic triangular Bézier surfacesOn rationally supported surfacesOn quadratic two-parameter families of spheres and their envelopesPN surfaces and their convolutions with rational surfacesPartial degree formulae for plane offset curvesLocal shape of generalized offsets to algebraic curvesRational two-parameter families of spheres and rational offset surfacesLaguerre minimal surfaces, isotropic geometry and linear elasticityRational surfaces with linear normals and their convolutions with rational surfacesOffsets, conchoids and pedal surfacesApplications of Laguerre geometry in CAGD



Cites Work


This page was built for publication: A Laguerre geometric approach to rational offsets