1-8条件方程--测边网条件方程-修改ppt课件

,主讲人：史经俭张静席晶,XianUniversityofScience&Technology,误差理论与测量平差,ErrorTheoryandSurveyingAdjustment,举一反三,治学严谨,逻辑性强,e7d195523061f1c0deeec63e560781cfd59afb0ea006f2a87ABB68BF51EA6619813959095094C18C62A12F549504892A4AAA8C1554C6663626E05CA27F281A14E6983772AFC3FB97135759321DEA3D70145073B7709DEAFA93D9543D2964B039C506A08C8BE0AF5D04AAA5F2B154E5030577D0DE964E588E7F2BFA07B4AB6ADC8003FE6F2E51FFE3,测边网条件方程,本讲内容,2,e7d195523061f1c0deeec63e560781cfd59afb0ea006f2a87ABB68BF51EA6619813959095094C18C62A12F549504892A4AAA8C1554C6663626E05CA27F281A14E6983772AFC3FB97135759321DEA3D70145073B7709DEAFA93D9543D2964B039C506A08C8BE0AF5D04AAA5F2B154E5030577D0DE964E588E7F2BFA07B4AB6ADC8003FE6F2E51FFE3,回顾：测边网条件方程数的确定,测边三角网,观测值：边长（n个）,目的：确定网中待定点（p个）在平面坐标系中的坐标最或是值,有多余起算数据,仅有必要起算数据,t=2p-1,r=n-t,t=2p,r=n-t,非自由测边网,自由测边网,3,e7d195523061f1c0deeec63e560781cfd59afb0ea006f2a87ABB68BF51EA6619813959095094C18C62A12F549504892A4AAA8C1554C6663626E05CA27F281A14E6983772AFC3FB97135759321DEA3D70145073B7709DEAFA93D9543D2964B039C506A08C8BE0AF5D04AAA5F2B154E5030577D0DE964E588E7F2BFA07B4AB6ADC8003FE6F2E51FFE3,测边网条件方程,1.自由测边网,自由测边网示例图,只有复杂图形产生的条件方程,c1,c2,c3,c4,c5,c8,c7,c6,图中：一个已知点A，一个已知方向TAB，待定点数p=10,观测了22个边长，n=22，必要观测数t=2p-1=19则多余观测数r=n-t=22-19=3,可列出3个条件方程。,c9,c10,c11,c12,4,e7d195523061f1c0deeec63e560781cfd59afb0ea006f2a87ABB68BF51EA6619813959095094C18C62A12F549504892A4AAA8C1554C6663626E05CA27F281A14E6983772AFC3FB97135759321DEA3D70145073B7709DEAFA93D9543D2964B039C506A08C8BE0AF5D04AAA5F2B154E5030577D0DE964E588E7F2BFA07B4AB6ADC8003FE6F2E51FFE3,测边网条件方程,1.自由测边网,自由测边网示例图-中点多边形,b1,a1,？,如何将方程写成观测值改正数的形式呢,自由测边网中，只有复杂图形产生的条件方程,5,e7d195523061f1c0deeec63e560781cfd59afb0ea006f2a87ABB68BF51EA6619813959095094C18C62A12F549504892A4AAA8C1554C6663626E05CA27F281A14E6983772AFC3FB97135759321DEA3D70145073B7709DEAFA93D9543D2964B039C506A08C8BE0AF5D04AAA5F2B154E5030577D0DE964E588E7F2BFA07B4AB6ADC8003FE6F2E51FFE3,测边网条件方程,1.自由测边网,自由测边网示例图-中点多边形,b1,a1,改正数条件方程：,由余弦定理建立角度和边长的联系：,全微分整理得：,中心多边形角度闭合法,改正数代替微分量，得：,a2,b2,a3,b3,a4,b4,a5,b5,同理得：,代入,6,e7d195523061f1c0deeec63e560781cfd59afb0ea006f2a87ABB68BF51EA6619813959095094C18C62A12F549504892A4AAA8C1554C6663626E05CA27F281A14E6983772AFC3FB97135759321DEA3D70145073B7709DEAFA93D9543D2964B039C506A08C8BE0AF5D04AAA5F2B154E5030577D0DE964E588E7F2BFA07B4AB6ADC8003FE6F2E51FFE3,测边网条件方程,1.自由测边网,中心多边形角度闭合法,观测值改正数条件方程：,D,自由测边网示例图,只有复杂图形产生的条件方程,7,e7d195523061f1c0deeec63e560781cfd59afb0ea006f2a87ABB68BF51EA6619813959095094C18C62A12F549504892A4AAA8C1554C6663626E05CA27F281A14E6983772AFC3FB97135759321DEA3D70145073B7709DEAFA93D9543D2964B039C506A08C8BE0AF5D04AAA5F2B154E5030577D0DE964E588E7F2BFA07B4AB6ADC8003FE6F2E51FFE3,测边网条件方程,2.非自由测边网,图中：已知点四个A、B、C、D，待定点数p=N-2(2、3、N-1号点)观测了2N-1个边长值，n=2N-1，必要观测数t=2p=2(N-2)则多余观测数r=n-t=2N-1-2(N-2)=3,可列出3个条件方程。,分析：该非自由测边网中无复杂图形只有由多余起算数据引起的3个强制附合条件：1个坐标方位角条件，2个坐标条件。,8,e7d195523061f1c0deeec63e560781cfd59afb0ea006f2a87ABB68BF51EA6619813959095094C18C62A12F549504892A4AAA8C1554C6663626E05CA27F281A14E6983772AFC3FB97135759321DEA3D70145073B7709DEAFA93D9543D2964B039C506A08C8BE0AF5D04AAA5F2B154E5030577D0DE964E588E7F2BFA07B4AB6ADC8003FE6F2E51FFE3,测边网条件方程,2.非自由测边网,改正数条件方程,闭合差项,分析：该非自由测边网中无复杂图形只有由多余起算数据引起的3个强制附合条件：1个坐标方位角条件，2个坐标条件。,9,e7d195523061f1c0deeec63e560781cfd59afb0ea006f2a87ABB68BF51EA6619813959095094C18C62A12F549504892A4AAA8C1554C6663626E05CA27F281A14E6983772AFC3FB97135759321DEA3D70145073B7709DEAFA93D9543D2964B039C506A08C8BE0AF5D04AAA5F2B154E5030577D0DE964E588E7F2BFA07B4AB6ADC8003FE6F2E51FFE3,测边网条件方程,非自由测边网示例图,图中：观测值个数n=13，必要观测数t=8，则多余观测数r=n-t=5,可列出5个条件方程。,列立改正数条件方程,有点复杂，但有规律可寻,1.自由测边网,2.非自由测边网,10,公式,算例,理论,误差,Thankyou,感谢聆听，批评指导,平差,e7d195523061f1c0deeec63e560781cfd59afb0ea006f2a87ABB68BF51EA6619813959095094C18C62A12F549504892A4AAA8C1554C6663626E05CA27F281A14E6983772AFC3FB97135759321DEA3D70145073B7709DEAFA93D9543D2964B039C506A08C8BE0AF5D04AAA5F2B154E5030577D0DE964E588E7F2BFA07B4AB6ADC8003FE6F2E51FFE3,12,e7d195523061f1c0deeec63e560781cfd59afb0ea006f2a87ABB68BF51EA6619813959095094C18C62A12F549504892A4AAA8C1554C6663626E05CA27F281A14E6983772AFC3FB97135759321DEA3D70145073B7709DEAFA93D9543D2964B039C506A08C8BE0AF5D04AAA5F2B154E5030577D0DE964E588E7F2BFA07B4AB6ADC8003FE6F2E51FFE3,测边网条件方程,1.自由测边网,D,A,B,C,E,