摘要
ＴｈｅｐｒｏｂｌｅｍｏｆｉｍｐｌｉｃｉｔｉｚｉｎｇｒａｔｉｏｎａｌｃｕｒｖｅｓａｎｄｓｕｒｆａｃｅｓｈａｓｍａｎｙｐｒａｃｔｉｃａｌｖａｌｕｅｓｉｎＣｏｍｐｕｔｅｒ－ＡｉｄｅｄＧｅｏｍｅｔｒｉｃＤｅｓｉｇｎ（ＣＡＧＤ）ａｎｄＧｅｏｍｅｔｒｉｃＭｏｄｅ...
Abstract A simple relationship between the Bezout matrix corresponding to a rational curve with base points and the Bezout matrix corresponding to the same rational curve except that whose base points are eliminated is clarified. Based on this relationship,the author proves that the implicit equation of a rational curve with base points is the largest non zero leading principal minor of the Bezout resultant corresponding to the rational curve assuming that the rational curve doesn't have trival base point 0,and thus provides a simple approach to implicitze rational curves with base points.Furthermore,as a by product,an algorithm is presented to compute the base points of a rational curve.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1998年第B06期121-126,共6页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
