quartic equation 中文意思是什麼
quartic equation
解釋
四次方程-
This method is also valid for identifying the circuit and branch defect of first group spatial linkages based on the equivalent of circuit properties of the first group spatial linkages and its equivalent sphere four - bar linkage base on the property of the solutions of quartic equation, the conclusion that the number and order of branch between two adjacent stationary positions of the input link are derived. then, the new method to identify circuits of spatial single - loop linkages with four closures is presented. all types of the manner on which the branches coalesce at the stationary positions of the input link are obtained and the procedures to determine the type automatically are developed
基於一元四次方程解的性質，得到了在輸入構件兩個相鄰瞬時靜止位置之間機構的分支的數目和大小順序不變的結論，進而提出了識別具有四個封閉形的空間單環機構迴路的新方法一一死點法，綜合出了輸入構件位於瞬時靜止位置時機構分支結合情況的所有類型及其自動判別方法，研究了由所有結合的分支信息自動生成迴路的演算法，首次解決了此類機構迴路與迴路缺陷的自動識別。 -
It is shown that a system of linear equations is resolved to obtain the rotational parameters by using of seven couple of conic curves in image sequences when the motion of a rigid object is pure rotational. when the motion of a rigid object is pure translation, a system of non - linear equations is resolved using iterative method, or using the method for resolving quartic equation. the translation parameters with a scale factor may be determined and the translation direction can be obtained
研究結果表明，在純旋轉運動分析中，最少利用圖像序列中7條對應二次曲線，可以線性地求解剛體旋轉運動參數；在純平移運動分析中，只需利用圖像序列中1條對應二次曲線就可以求解剛體相對平移運動參數（即平移方向） ，分別用非線性迭代法和一元四次方程解法求解了剛體相對平移運動參數（即平移方向） 。
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