福衛二號影像糾正及誤差探討

The Rectification and Error Investigation on the Formosat-2 Satellite Image

廖揚清(Yang-Cheng Liao) ； 蔡文龍(Wen-Lung Tsai)

《航測及遙測學刊》 11卷4期 (2006/12) Pp. 427-438

https://doi.org/10.6574/JPRS.2006.11(4).6

摘要

本研究使用有理函數模式對福衛二號衛星影像進行計算，另外，由於高階有理函數模式的法方程式需要使用一微小常數h以穩定計算，因此先討論h值的影響，最後再分析與檢驗殘差。本研究使用台南市的福衛二號影像，其影像的等級為Level 1A，影像大小為12000像元×l6800像元。首先以分區測試以及不同分佈和數量的地控點進行測試，再改變每一次計算時的微小常數h，以得到最佳的h值。實驗分析顯示，使用周邊分布最少的7個地控點進行計算，檢核點E方向均方根值約±1.50像元、N方向均方根值約±1.75像元；二階的有理函數模式可以得到h值的建議值為0.0002，三階得到的h值的建議值為0.00045。最後，使用顯著水平α=5%進行統計測試，並無檢驗出系統性誤差的存在。

關鍵字

福衛二號影像 ； 影像糾正 ； 有理函數模式

並列摘要

The study uses Rational Function Model (RFM) to perform the correction for the Formosat-2 image, because it must use a minute constant h to stabilize the computation of normal equation at high degree RFM, this research would investigate the effect of h value; finally, it would also check and analyze the residual. The test area of Formosat-2 image is Tainan, image level is Level 1A, image size is 12000pixel × 16800pixel. The research would use different areas and different number of ground control points with different distribution to test, and change the constant h when every test to get the best constant h. The experimental analysis demonstrated, when uses at least 7 peripheral distributed GCPs to compute, the RMSEe of check point is ±1.50 (pixel) and RMSEn is ±1.75 (pixel). The proposed h value for second degree RFM and third degree RFM are 0.0002 and 0.00045. Eventually, the result of t-test doesn't demonstrate systematic residuals, when α=5%.

並列關鍵字

Formosat-2 Image ； Image Rectification ； Rational Function Model