Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
441048 | Computer Aided Geometric Design | 2008 | 11 Pages |
Abstract
The paper describes a method to join two circles with a C-shaped and an S-shaped transition curve, composed of a Pythagorean hodograph quintic segment, preserving G2 continuity. It is considered desirable to have such a curve in satellite path planning, highway or railway route designing, or non-holonomic robot path planning. As an extension of our previous work, we show that a single quintic curve can be used for blending or for a transition curve between two circles, including the previously unsolved cases of concentric and tangential circles.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design