异素对应把中的一个重要性质及其应用

AN IMPORTANT NATURE IN DIFFERENT ELEMENT CORRESPONDONCE OF BUNDLES AND IT'S APPLICATION

为使把的异素对应问题适应计算机绘图的要求,对该问题的解析理论进行了研究。发现并证明了把的异素对应中的一个重要性质,即在射影对应的线把和面把中,其对应元素的方向数之间存在着一一对应关系。讨论了这一性质在把的异素对应问题中的应用。结果表明,应用这一性质解决异素对应把中的解析问题十分方便,为计算机绘图建立了数学模型,并为深入研究其解析法提供了理论依据。

This paper studys the analytic theory of different element correspondonce of bundles in order to meet the requirement of computer graphics.An important properby of it is found and verified.There exists a projective relation between the direction numbers of which line bundle and bundle of places are projective corresponding to each other.Applications of its property are discussed.It is found that it is very convenient to use its property to solve the problem of different element correspondonce of bundles.An analytic model is founded for computer graphics and a theoritical evidence is provided to further study of the analytic theo- ry.