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Interpolation of 3D data streams with C2 PH quintic splines
The construction of smooth spatial paths with Pythagorean-hodograph (PH) quintic splines is proposed. To facilitate real-time computations, an...
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Interactive Design of Cubic IPH Spline Curves
Indirect Pythagorean hodographs (IPH) spline curves are a set of curves which have rational Pythagorean hodographs after reparameterization by a...
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Computational Algorithm for MRLW equation using B-spline with BFRK scheme
In this paper, septic B-spline approach with linearization and without linearization technique with the help of Butcher’s fifth-order Runge–Kutta...
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Avoiding feed fluctuation for five-axis interpolation using 3D clothoid and B-spline
For the CNC machine tools, the feedrate fluctuation may excite the vibration of the machine structures and damage the surface of machined parts. This...
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Real time tool path smoothing of short linear commands for robot manipulator by constructing asymmetrical Pythagoran-hodograph (PH) splines
Tool path smoothing of linear commands is important to guarantee the high-order motion continuity of multi-axis motion control systems. The existing...
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Asymmetrical Pythagorean-hodograph spline-based \({{\mathrm{C}}}^{4}\) continuous local corner smoothing method with jerk-continuous feedrate scheduling along linear toolpath
In computer numerical control systems, linear segments generated by computer-aided manufacturing software are the most widely used toolpath format....
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Local tool path smoothing based on symmetrical NURBS transition curve with look ahead optimal method: experimental and analytical study
Linear tool path with the inherent shortcoming of tangential and curvature discontinuities leads to poor machining efficiency and surface finish. A...
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A Real-time Look-ahead Trajectory Planning Methodology for Multi Small Line Segments Path
When a robot is required to machine a complex curved workpiece with high precision and speed, the tool path is typically dispersed into a series of...
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Time-optimal feedrate scheduling with actuator constraints for 5-axis machining
Cycle time minimization is one of the major goals to achieve in manufacturing. Maximizing feedrate is the direct solution; however, physical motions...
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High Speed Machining for Linear Paths Blended with G3 Continuous Pythagorean-Hodograph Curves
Previously, many studies have illustrated corner blend problem with different parameter curves. Only a few of them take a Pythagorean-hodograph (PH)...
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An analytical and optimal corner smoothing method for CNC machine tools along linear segments
To solve the problems caused by the discontinuity of linear segments in computer numerical controlled (CNC) machine tools, a curvature optimal corner...
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Hermite interpolation by planar cubic-like ATPH
This paper deals with the construction of the Algebraic Trigonometric Pythagorean Hodograph (ATPH) cubic-like Hermite interpolant. A characterization...
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A New Method to Design Cubic Pythagorean-Hodograph Spline Curves with Control Polygon
A new method to design a cubic Pythagorean-hodograph (PH) spline curve from any given control polygon is proposed. The key idea is to suitably choose...
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Exponential Twice Continuously Differentiable B-Spline Algorithm for Burgers’ Equation
Exponential twice continuously differentiable B-spline functions (known from the literature as exponential) are used to set up the collocation method...
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An analytical G3 continuous corner smoothing method with adaptive constraints adjustments for five-axis machine tool
In this paper, an analytical local corner smoothing method is proposed with two specially designed quartic curves to generate smooth motion...
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Simulating Complex Relationships Between Pollutants and the Environment Using Regression Splines: A Case Study for Landfill Leachate
Pollutant concentrations in the environment are functions of source variables, environmental variables, and time. Relationships among these variables...
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A general, fast and robust B-spline fitting scheme for micro-line tool path under chord error constraint
The discontinuity of linear tool path (or G01 blocks) brings about unnecessary feedrate deceleration and fluctuation during machining. To improve the...
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Global smoothing for five-axis linear paths based on an adaptive NURBS interpolation algorithm
The five-axis tool path generated by CAM software usually consists of a series of linear paths. The tangent direction at the corner of the adjacent...
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Simultaneous optimization of curvature and curvature variation for tool path generation in high-speed milling of corners
The machining corners are an important feature of aircraft structure components. In the process of high-speed milling of the corner, the...
