The NURBS book
The sweep-envelope differrential equation algorithm for general deformed swept volumes
Computer Aided Geometric Design
Boundary of the volume swept by a free-form solid in screw motion
Computer-Aided Design
Geometric Modeling for Swept Volume of Moving Solids
IEEE Computer Graphics and Applications
Analytical estimation of error in flank milling of ruled surfaces
Computer-Aided Design
CAD/CAM Of Sculptured Surfaces On A Multi-Axis NC Machine
CAD/CAM Of Sculptured Surfaces On A Multi-Axis NC Machine
Kinematic Geometry of Surface Machining
Kinematic Geometry of Surface Machining
Approximate swept volumes of NURBS surfaces or solids
Computer Aided Geometric Design
Improved positioning of cylindrical cutter for flank milling ruled surfaces
Computer-Aided Design
Mathematical and Computer Modelling: An International Journal
ICIRA'10 Proceedings of the Third international conference on Intelligent robotics and applications - Volume Part II
5-axis flank milling free-form surfaces considering constraints
Computer-Aided Design
Review: 5-axis flank milling: A state-of-the-art review
Computer-Aided Design
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Two closed-form solutions for calculating tool envelope surfaces are proposed based on the moving frame method. They have several advantages: (a) Given a sequence of cutter location (CL) data before post-processing into NC code, although we do not know the special configuration of machine tool, the tool envelope surface can be calculated accurately; (b) The two methods fit for a generic milling tool with a surface of revolution, such as a cylindrical cutter, conical cutter, drum cutter, and so on; (c) Since the calculation is developed based on the representation of the parametric form of the generating curve, it is convenient to use Bezier method, B-Spline or NURBS to unify the representation of the cutters and calculation of tool envelope surfaces. Several examples are presented to prove their effectiveness and good adaptability. The two methods can be used for NC machining simulation, evaluation and correction of the tool path.