Gps is the technology which use the satellite to measure the 3d coordination of spatial points Gps (全球定位系統)衛(wèi)星定位技術利用人造地球衛(wèi)星,確定地面點的空間位置。
By taking these spatial points as initial guess , all exact real solutions withi n a certain range of variables are found using unrestraint optimization 以這些空間點為初始值,利用無約束優(yōu)化,得到在一定值范圍內的原方程組的全部精確實數解。
This paper develops 3d graphics with opengl and draws three - dimensional entities visualization by spatial point set . thu three - dimensional effect and visualization of 3d entities figure are strengthened by light 摘要介紹了采用空間點集繪制實體的方法,生成真實感較強的三維實體圖形的過程和三維實體的交互式旋轉、縮放、多方位剖切等可視化顯示。
Secondly , this thesis purposes a new deformation correction method basing on neural net . it can get the mapping between spatial points and points in the image using this method after getting input , output and condition without considering other factors 最后將圖像點的像素坐標輸入給訓練成功的bp網絡,即可得到預期的空間位置,從而建立圖像像素點與空間位置的映射關系。
Now the 2d precision of spatial points is very great , but because by usual correlation fitting method we can transfer gps ellipsoidal height into normal height of the local geoid is considered as mathematical curve plane , it is not conform the fact of mountainous districts so the precision of elevation is so small that it is not satisfied with the requirement of leveling 目前,地面點的平面位置確定精度已相當高,但高程精度始終未能達到水準測量的要求,因為將gps大地高轉化為水準正常高的擬合推估方法是將局部大地水準面視為數學曲面,常常與實際情況差異較大(特別在西部山區(qū)差異更大) 。
In two - view case , a method is presented for calculation 2d projective transformation and construction the virtual elements by combination of spatial points and lines . so more 3d invariants of object ' s spatial structures can be extracted from real elements and virtual eleme nts . ( 3 ) the geometric characteristics of 2d symmetric objects " in perspective images are lucubrated ( 2 )擴展了2d射影變換矩陣的求解方法,將單純利用點集對應的計算模式擴展到利用直線集、點線組合等多種類型來建立兩個射影平面的對應關系;總結了平面上基于點、直線元素可求解的多種3d不變量;提出了雙視圖下由點、直線元素的多種對應關系求解2d射影變換來構造“虛元素”的方法,結合“實元素”和“虛元素”可以提取更多的空間3d不變量。
Starting from the generativ e procedure of conjugate curves the generator 2 and generated curve 1 ar e re garded as two bunches of spatial point sets and the 1 is being considered a s a macroscopic expression in s1 coordinate space of points , satisfying the co n dition of conjugation during the course of relative movement , on 2 從共軛曲線的創(chuàng)成過程出發(fā),將母曲線2和創(chuàng)成曲線1看作兩簇空間點集,認為1是由相對運動過程中2上滿足共軛條件的點在s1坐標空間中的宏觀表現。
For the special case one of original equations contains only two unknowns , these two variables can be sampled firstly , and then introduced into the other two 3 - variable equations . the real solutions obtained are spread along the cylindrical contour curve , so that a two dimensional graph which is easy to observe is generated . the corresponding spatial points of intersection are found through the points of intersection of the two curves in this graph 對于方程組中有一個二元方程的特殊情況,還可首先給該二元賦值,然后代入另外兩個三元方程,將求得的實數解沿該二元方程的柱面輪廓線展開,得到便于觀察的二維圖形,通過該兩條交線的交點找到其相應的空間交點。