High speed machining for linear paths blended with \(G3\) continuous Pythagorean-hodograph curves

DOI10.1007/s11424-022-0258-xzbMath1497.93156OpenAlexW4289886745WikidataQ114222439 ScholiaQ114222439MaRDI QIDQ2674948

Kai Zhao, Shu-Rong Li

Publication date: 14 September 2022

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-022-0258-x

zbMATH Keywords

mixed interpolationPythagorean-hodograph curveBezier control polygoncorner transitionjerk-limited scheduling

Mathematics Subject Classification ID

Automated systems (robots, etc.) in control theory (93C85)

Cites Work

• Construction of \(G^2\) rounded corners with Pythagorean-hodograph curves
• Fast B-spline curve fitting by L-BFGS
• Identification of multiple-input single-output Hammerstein models using Bézier curves and Bernstein polynomials
• Tool orientation planning for five-axis CNC machining of open free-form surfaces
• Time-optimal interpolation for CNC machining along curved tool pathes with confined chord error
• A general hybrid optimization strategy for curve fitting in the non-uniform rational basis spline framework
• Deformation of spatial septic Pythagorean hodograph curves using Gauss-Legendre polygon
• Spatial Pythagorean-hodograph B-spline curves and 3D point data interpolation
• Time optimal feedrate generation with confined tracking error based on linear programming
• Bézier curves and \(C^{2}\) interpolation in Riemannian manifolds
• G²blends of linear segments with cubics and Pythagorean-hodograph quintics
• Hermite Interpolation by Pythagorean Hodograph Quintics
• An SQP method based on smoothing penalty function fo nonlinear optimization with inequality constraint.
• Planar \(G^2\) transition with a fair Pythagorean hodograph quintic curve

This page was built for publication: High speed machining for linear paths blended with \(G3\) continuous Pythagorean-hodograph curves