福衛二號已於2004年5月21日發射，國人可以更方便的取得其衛星影像，對於大比例尺的製圖而言具有相當的潛力。而本研究將會使用有理函數模式和仿射轉換模式對福衛二號衛星影像進行糾正，並以檢核點的方式分析其精度。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，因此將會討論h值的影響，最後再分析與檢驗殘差。

　　測試的地區為台南市的福衛二號影像，影像的等級為Level 1A，影像大小為12000像元×16800像元，面積涵蓋範圍約175.6平方公里。並且會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，有理函數模式比仿射轉換模式具有較高的精度。使用周邊分布最少的7個地控點進行計算，檢核點E方向均方根誤差約±1.50像元，N方向均方根誤差約±1.75像元。使用19個地控點，檢核點的均方根誤差就會趨近於收斂。另外若地控點多於39點的時候，使用高階的有理函數模式可以得到較好的成果。由本研究的實驗，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5種統計測試檢驗殘差，由結果可說明在顯著水平α=5%的情況下，所使用的測試資料無顯著的系統誤差的存在。

　Formosat-2 launched at 21th May 2004，we can get the Formosat-2 image more conveniently，it has a very high potential for large-scale topographic mapping.The research will use Rational Function Model(RFM) and Affine Projection Model to perform the correction for the Formosat-2 image，and use check points to analyze the precision of computation。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，square measure is 175.6km2.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 demonstrate，RFM has higher precision than Affine Projection Model. When we use peripheral distributed at least 7 GCPs to compute，the RMSEe of check point is ±1.50(pixel) and RMSEn is ±1.75(pixel).As 19 GCPs are used，the RMSE of check points tend to converge. Further，if the number of GCPs is more than 39，we can get better precision by using high degree. According to the experiment of research，the proposed h value 0.0002 and 0.00045 will be obtained at second degree RFM and third degree RFM. Eventually，it would use five kinds of statistical test to test the residual of check points，the result demonstrate system error dosen’t significant in this test，when α=5%.

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