In many high-speed automated equipment, such as placement machines in surface mount technology lines, the most important thing is to move certain device to specific positions quickly. The trajectory is not critical. These machines utilize slew motions. The process of such machines can be divided into a set of sequential tasks moving between programmed points. In order to operate the machines ef...

Implicit surface reconstruction has been a challenging work for decades. In this paper, motivated by the concept of classic physical polar field model and off-set points strategy, we present a new approach, called Field Fitting. In this approach, we express a 3D surface as an equipotential surface of scalar polar field which is produced by a number of paired field generating primitives, then a ...

We present a method to reconstruct a surface from a group of points, each provided with two parameters. The kind of reconstructed surface can be a Bezier surface, a B-spline surface or any surface generated by a basis of functions. The usual method involved in such a reconstruction is the least squares approach. Our original fitting method called LP-fitting uses a linear program for minimizing ...