Nearly arc-length parameterized quintic-spline interpolation for precision machining

✍ Scribed by F.-C. Wang; D.C.H. Yang

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 565 KB
• Volume: 25
• Category: Article
• ISSN: 0010-4485
• DOI: 10.1016/0010-4485(93)90085-3

✦ Synopsis

The paper presents a method of interpolating a set of discrete data points to form a composite quintic spline for application in precision machining. Precision machining requires tight machining tolerance, i.e. the preselected data points on the original curve are approximately evenly distributed according to a small total curvature between two consecutive data points. With this restriction, the resultant composite quintic splines, in comparison with cubic splines, are closer to being arc-length parameterized. The quintic splines are also likely to have shapes that are close to those of the original curves with no unwanted high-order oscillations. Curves with these properties should be useful for reverse engineering and online motioncommand generation for precision machining.