Hi Puja, you can apply wavelet and curvelet to same image. You can segment them into smooth plane and arc-ed plane segments then apply the wavelet and curvelet individually. I found a paper that can be help to you in this matter.
Hi April, can contourlet transform be applied to medical MRI images? If yes, then what are the properties of contourlet co-efficients which make it superior over wavelets or curvelets? Regards