Abstract: The finite Ridgelet transform(FRIT) deal well with the 1D singularity of the 2D signal by finite Radon transform(FRAT) and wavelet.However,the lines in the FRAT are the periodic wrap ones which are different with the geometrical.The definition has an influence on the detection purpose of the FRIT and makes it can not detect the points of the line.A novel algorithm is presented for solving the "wrap" of the FRIT radically by the no wrap lines,and could advance the detection precision by using àtrous wavelet on the improved FRAT instead of Mallat wavelet.The method could choose and connect the lines,detect the points the length the width and the direction of the objects.The experimental results show that our method is precise to detect the edges of runways and harbor with the noise and comes over the FRIT defect.