Polinomsal Yükseklik Dönüşümü


Kurt O. , Arslan O. , Konak H.

11. Harita Bilimsel ve Teknik Kurultayı, Ankara, XIII. Paralel Oturum: Jeodezi III, , , , (2007), Ankara, Türkiye, 2 - 06 April 2007, ss.1

  • Basıldığı Şehir: Ankara
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.1

Özet


The GPS/leveling is defined as obtaining orthometric heights at common points those only ellipsoidal heights are known using the estimated local geoid. The local geoid is determined by evaluating GPS observations at the control points, orthometric heights are known. Polynomial height transformation (surface fitting) is widely used in height transformation performed with GPS/leveling. In this study, a best fitting polynomial surface with a minimum variance is investigated on interpolation points (not included in study area) of surface field. And the research model is called as Best Fitting Polynomial Surface Research Technique in this study. Objective function of the technique is to minimize the errors between geoid heights of control points and their estimated values. However, the error for a control point in this technique is defined as the difference between its exact value and the estimated value computed by excluding this point from control points set. It can be decided that the degree of polynomial surface fitting the objective function is the suitable one for the study area.