Performance analysis of CNC interpolators for time-dependent feedrates along PH curves

DOI10.1016/S0167-8396(01)00029-2zbMath0971.68172MaRDI QIDQ5941142

No author found.

Publication date: 20 August 2001

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

zbMATH Keywords

Pythagorean-hodograph curvesacceleration controlhigh-speed machiningreal-time CNC interpolatorstime-dependent feedrates

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (16)

\(C^2\) continuous time-dependent feedrate scheduling with configurable kinematic constraints ⋮ Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves ⋮ Arc lengths of rational Pythagorean-hodograph curves ⋮ Interactive design of cubic IPH spline curves ⋮ Approximation of monotone clothoid segments by degree 7 Pythagorean-hodograph curves ⋮ Characterization and construction of helical polynomial space curves. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics ⋮ Computation of optimal composite re-parameterizations ⋮ Real-time CNC interpolators for Bézier conics ⋮ A control polygon scheme for design of planar \(C^2\) PH quintic spline curves ⋮ A geometric product formulation for spatial pythagorean hodograph curves with applications to Hermite interpolation ⋮ On quadratic two-parameter families of spheres and their envelopes ⋮ Variable feedrate interpolation of NURBS toolpath with geometric and kinematical constraints for five-axis CNC machining ⋮ A new method to design cubic Pythagorean-hodograph spline curves with control polygon

Cites Work

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• Real-time CNC interpolators for Pythagorean-hodograph curves
• Algorithms for polynomials in Bernstein form
• Contour machining of free-form surfaces with real-time PH curve CNC interpolators
• Parametric interpolator \(versus\) linear interpolator for precision CNC machining
• The conformal map \(z\to z^ 2\) of the hodograph plane
• Realtime curve interpolators
• The elastic bending energy of Pythagorean-hodograph curves
• Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves.
• Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method
• Pythagorean-hodograph space curves
• Physical constraints on feedrates and feed accelerations along curved tool paths
• Hermite Interpolation by Pythagorean Hodograph Quintics

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