等距曲线可隐含代数精确表示  

Offset Curve Can be Precisely Represented by Implicit Algebra

作　　者：陈思雄[1] 

机构地区：[1]华侨大学管理信息科学系

出　　处：《华侨大学学报（自然科学版）》1994年第1期20-24,共5页Journal of Huaqiao University(Natural Science)

摘　　要：证明古典的平面代数曲线簇空间，恰是等距运算的不变子空间和ＣＡＤ／ＣＡＭ常用的自由等距曲线，可由一次数不超过４×（原曲线的代数次数）－２的隐含代数曲线精确表示．It is demonstrated that the space of algebraic curve manifold in classical plane algebra is just the invariant subspace under offset operation. It is further demonstrated that the free curves under offset operation which commonly used in CAD/CAM can be precisely represented by implicit algebraic curve with a degree of algebraic number below 4n-2,where n is the degree of algebraic number of original curve.

关 键 词：等距运算 代数曲线 自由曲线 

分 类 号：O187.1[理学—数学]