摘要
对于C1的任意函数类型的平面曲线，利用分段的仿射变换方法，生成近似的等距线。它的每一段与原曲线的相应段具有相同的函数类型，具有仿射意义下的几何不变性质，能较好的逼近原曲线。
The design of offset curves is needed in many applications such as NC (numerical control) machine. Exact offsets, known as Pythagorean - hodograph curves, are inconvenient for practical use owing to many unvoidab1e restrictions. We propose a new way of obtaining an approximate curve to the exact of Iset for practital use. For an arbitrary C1 plane curve, we can use segmental affine transformations to obtain an approximate curve as its approximate plane offset. Each segment of approximate offset and the corresponding segment of the original curve are proved to be of the same function type. After affine transformation,the geometric invariance of the original curve is proved to be retained in the approximate offset. Our approximate plane offtet is easily computed.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
1998年第4期540-544,共5页
Journal of Northwestern Polytechnical University
