Chi, B.; Bai, S.; Guo, Q.; Zhang, Y.; Yuan, W.; Li, C. A New Definition of the Dual Interpolation Curve for CAD Modeling and Geometry Defeaturing. Mathematics2023, 11, 3473.
Chi, B.; Bai, S.; Guo, Q.; Zhang, Y.; Yuan, W.; Li, C. A New Definition of the Dual Interpolation Curve for CAD Modeling and Geometry Defeaturing. Mathematics 2023, 11, 3473.
Chi, B.; Bai, S.; Guo, Q.; Zhang, Y.; Yuan, W.; Li, C. A New Definition of the Dual Interpolation Curve for CAD Modeling and Geometry Defeaturing. Mathematics2023, 11, 3473.
Chi, B.; Bai, S.; Guo, Q.; Zhang, Y.; Yuan, W.; Li, C. A New Definition of the Dual Interpolation Curve for CAD Modeling and Geometry Defeaturing. Mathematics 2023, 11, 3473.
Abstract
The present paper provides a new definition for dual spline curves in a geometric intuitive way based on adaptive curve refinement techniques. The dual spline is an implementation of the interpolatory subdivision scheme for curve modeling, which is comprised of polynomial segments of different degrees. Specially, the dual spline curves are mainly aims to solve the difficult geometry defeaturing problems in the existing computer-aided technology. Dual spline curves maintain various desirable properties of conventional curve modeling methods, such as local adaptive subdivision, high interpolation accuracy and convergence, continuous and discontinuous boundary approximation. By adding fictitious and intrinsic nodes inside or at the vertices of interpolation elements, the dual spline is flexible and convenient for approximating a set of ordered points or discrete segments. Combined with the Lagrange interpolation polynomial and meshless method, the proposed approach is capable of approximating the non-smooth boundary for geometry defeaturing. Experimental results are given to verify the validity, robustness, and accuracy of the proposed method.
Computer Science and Mathematics, Geometry and Topology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
