The designing of offset curves and surfaces is an essential task in many industrial
applications such as the generation of tool-path geometry in numerical-control machining …

In the development of digital multimedia, the importance and impact of image processing
and mathematical morphology are well documented in areas ranging from automated vision …

We present a new approach to building a solver for a set of geometric constraints
represented by multivariate rational functions. The constraints are formulated using …

A survey of swept volume concepts and methods is presented. It consolidates and relates
seemingly different terminology and methods. The methods are divided into five major …

A new method, called the sweep-envelope differential equation, for characterizing swept
volume boundaries is introduced. This method is used as the theoretical foundation of an …

In the field of trajectory generation for objects, ensuring continuous collision-free motion
remains a huge challenge, especially for non-convex geometries and complex …

* A special volume devoted principally to therole of the late Sir Charles Oatley in the
development of the scanning electron microscopeings* It contains historical articles and …

Many investigators have developed methods for determining the workspace of a
manipulator. One method presented by J. Rastegar and D. Perel uses the Monte Carlo …

We present an efficient algorithm to approximate the swept volume (SV) of a complex
polyhedron along a given trajectory. Given the boundary description of the polyhedron and a …

To enhance the accuracy of five-axis milling processes, a simulation based NC-path
optimization provides an efficient approach. The key to a reliable simulation of cutting …