Representing Conics Using NURBS Curves  

作　　者：秦开怀 关右江 

出　　处：《Tsinghua Science and Technology》1998年第2期63-69,共7页清华大学学报（自然科学版（英文版）

摘　　要：The necessary and sufficient conditions are presented for NURBS currves of an arbitrary degree to precisely represent circular arcs. NURBS curves of degree 2 or degree 3 representing circular arcs can be regarded as special cases of the conditions. It is studied whether two NURBS curves of degree three are equivalent. Classifications of conic section curves represented by cubic or quadratic NURBS curves are proposed.The necessary and sufficient conditions are presented for NURBS currves of an arbitrary degree to precisely represent circular arcs. NURBS curves of degree 2 or degree 3 representing circular arcs can be regarded as special cases of the conditions. It is studied whether two NURBS curves of degree three are equivalent. Classifications of conic section curves represented by cubic or quadratic NURBS curves are proposed.

关 键 词：NURBS curve CONIC circular arc 

分 类 号：O186.11[理学—数学]