| 关于Odaka方程的求解问题 |
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| 引用本文： | 唐人卫.关于Odaka方程的求解问题[J].东南大学学报(自然科学版),1998,28(3):137-142. |
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| 作者姓名： | 唐人卫 |
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| 作者单位： | 东南大学交通学院 |
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| 摘 要： | Ｏｄａｋａ方程是透视投影的基本方程，是Ｋｒｕｐｐａ定理的解析表达式，它反映了三点透视投影中各参数之间的定量关系，在基础理论和实际应用方面都有重要意义．本文分析了该方程的给题条件，从数解和图解两种途径，阐述了方程的求解方法，主要解法包括几何迭代法和数学迭代法，这将为Ｏｄａｋａ方程的进一步应用奠定基础．
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| 关 键 词： | 透视投影 Odaka方程 图解法 几何迭代法 |
The Solution of Odaka Equation |
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| Tang Renwei.The Solution of Odaka Equation[J].Journal of Southeast University(Natural Science Edition),1998,28(3):137-142. |
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| Authors: | Tang Renwei |
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| Abstract: | Odaka equation is the foundation equation of perspective projection. It is the algebraic expression of Kruppa theorem. The quantitative relation of all parameters in three point perspective projection is expressed. That is very important in basic theory and practice. In this paper, the known conditions of the equation are analyzed. The equation is soloed in graphic method and algebraic method. The main methods include geometric iteration and mathematical iteration. The solution of Odaka equation lays the foundation for its application. |
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| Keywords: | perspective projection Odaka equation graphic method geometric iteration |
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