منابع مشابه
Implicitization using Moving Lines
where the equations a0x+ b0y + c0 = 0 and a1x+ b1y + c1 = 0 define any two distinct lines. It is known that any conic section can be “generated by the intersection of corresponding lines of two related pencils in a plane” [Som51], p.388. In other words, given two distinct pencils, (a00x+b00y+c00)(1−t)+(a10x+b10y+c10)t = 0 and (a01x+b01y+c01)(1−t)+(a11x+b11y+c11)t = 0, to each value of t corresp...
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Among several implicitization methods, the method based on resultant computation is a simple and direct one, but it often brings extraneous factors which are difficult to remove. This paper studies a class of rational space curves and rational surfaces by implicitization with univariate resultant computations. This method is more efficient than the other algorithms in finding implicit equations...
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Based on the Gröbner basis method, we present algorithms for a complete solution to the following problems in the implicitization of a set of rational parametric equations. (1) Find a basis of the implicit prime ideal determined by a set of rational parametric equations. (2) Decide whether the parameters of a set of rational parametric equations are independent. (3) If the parameters of a set o...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2008
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2007.07.011