关于 Odaka 方程的求解问题

The Solution of Odaka Equation

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．

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.