The bisector of a point and a plane parametric curve

DOI10.1016/0167-8396(94)90029-9zbMath0796.65013OpenAlexW2000742570MaRDI QIDQ1324660

Rida T. Farouki, John K. Johnstone

Publication date: 10 October 1994

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

Full work available at URL: https://doi.org/10.1016/0167-8396(94)90029-9

zbMATH Keywords

trimmingsmooth plane curveVoronoi diagramspoint/curve bisectors

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (14)

Algebro-geometric analysis of bisectors of two algebraic plane curves ⋮ Decomposing trimmed surfaces using the Voronoï diagram and a scan line algorithm ⋮ Degenerate point/curve and curve/curve bisectors arising in medial axis computations for planar domains with curved boundaries ⋮ Automatic piloting in progressive dies using medial axis transform ⋮ Piecewise rational approximation of square-root parameterizable curves using the Weierstrass form ⋮ On approximating the distance trisector curve ⋮ PRECISE VORONOI CELL EXTRACTION OF FREE-FORM PLANAR PIECEWISE C¹-CONTINUOUS CLOSED RATIONAL CURVES ⋮ COMPLEXITY REDUCTION FOR SYMBOLIC COMPUTATION WITH RATIONAL B-SPLINES ⋮ Approximations of 2D and 3D generalized Voronoi diagrams ⋮ Offset hypersurfaces and persistent homology of algebraic varieties ⋮ Voronoi diagram and medial axis algorithm for planar domains with curved boundaries. II: Detailed algorithm description ⋮ Voronoi diagram and medial axis algorithm for planar domains with curved boundaries. I: Theoretical foundations ⋮ Voronoi diagrams on the sphere ⋮ Specified–Precision Computation of Curve/Curve Bisectors

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• On the computational geometry of pocket machining
• Analytic properties of plane offset curves
• ELIMINATING EXTRANEOUS SOLUTIONS IN CURVE AND SURFACE OPERATIONS
• Medial Axis Transformation of a Planar Shape
• On the Problem of Runs

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