Algebraic analysis of offsets to hypersurfaces

DOI10.1007/s002090000096zbMath0996.14027MaRDI QIDQ1581833

Sendra, Juana, Juan Rafael Sendra

Publication date: 13 November 2000

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

geometric controlcomputer aided geometric designrobot path-planningoffset of a hypersurface

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Geometric methods (93B27) Computational aspects of algebraic surfaces (14Q10) Robot dynamics and control of rigid bodies (70E60) Hypersurfaces and algebraic geometry (14J70)

Related Items (27)

Smooth surface interpolation using patches with rational offsets ⋮ An algebraic framework for computing the topology of offsets to rational curves ⋮ Algebro-geometric analysis of bisectors of two algebraic plane curves ⋮ Surfaces with Pythagorean normals along rational curves ⋮ Design and implementation of maple packages for processing offsets and conchoids ⋮ Hyperellipticity of offsets to rational plane curves ⋮ The square-freeness of the offset equation to a rational planar curve, computed via resultants ⋮ Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets ⋮ Piecewise rational approximation of square-root parameterizable curves using the Weierstrass form ⋮ Magnetic billiards: non-integrability for strong magnetic field; Gutkin type examples ⋮ Rational generalized offsets of rational surfaces ⋮ Good global behavior of offsets to plane algebraic curves ⋮ A delineability-based method for computing critical sets of algebraic surfaces ⋮ Local shape of offsets to algebraic curves ⋮ A new method to compute the singularities of offsets to rational plane curves ⋮ Exploring hypersurfaces with offset-like convolutions ⋮ A unified Pythagorean hodograph approach to the medial axis transform and offset approximation ⋮ Degree formulae for offset curves ⋮ Offset hypersurfaces and persistent homology of algebraic varieties ⋮ On convolutions of algebraic curves ⋮ An algebraic analysis of conchoids to algebraic curves ⋮ Good local behavior of offsets to rational regular algebraic surfaces ⋮ PN surfaces and their convolutions with rational surfaces ⋮ Partial degree formulae for plane offset curves ⋮ Local shape of generalized offsets to algebraic curves ⋮ Properties of generalized offset curves and surfaces ⋮ Offsets, conchoids and pedal surfaces

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