Computing offsets of B-spline curves
Computer-Aided Design
Spline approximation of offset curves
Computer Aided Geometric Design
Offset approximation of uniform B-splines
Computer-Aided Design
An algorithm for generating NC tool paths for arbitrarily shaped pockets with islands
ACM Transactions on Graphics (TOG)
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Tool path generation for machining free-form pockets with islands
Computers and Industrial Engineering
The NURBS book
Offsets of Two-Dimensional Profiles
IEEE Computer Graphics and Applications
Computing offsets of freeform curves using quadratic trigonometric splines
ROCOM'10 Proceedings of the 10th WSEAS international conference on Robotics, control and manufacturing technology
An algorithm to generate compact dual NURBS tool path with equal distance for 5-Axis NC machining
ICIRA'10 Proceedings of the Third international conference on Intelligent robotics and applications - Volume Part II
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Generating valid tool path curves in NURBS form is important in realizing an efficient NURBS machining. In this paper, a method for computing one-sided offset approximations of freeform curves with NURBS format as tool paths is presented. The approach first uses line segments to approximate the progenitor curve with one-sided deviations. Based on the obtained line approximating curve and its offsets, a unilateral tolerance zone (UTZ) is constructed subsequently. Finally, a C^1-continuous and completely interference-free NURBS offset curve is generated within the UTZ to satisfy the required tolerance globally. Since all of the geometric computations involved are linear, the proposed method is efficient and robust. Interference-free tool path generation thus can be achieved in NURBS based NC machining.