Image-based rendering using 3D warping (WIBR) appeals since one hopes that the quality of the reference images used can be conveyed to the warped images. However, until now, the only WIBR method that comes close to achieving this goal is based on a mesh of micro-triangles that after being warped is fed into a polygon-rendering engine. We propose a new WIBR method that overcomes the disadvantages of the mesh and produces high-quality warped images by exploiting the idea of separating visibility resolution from reconstruction. Thus it proceeds in two steps: first we determine the samples visible in the desired image and then the desired image is reconstructed from the visible samples. The reconstruction is done with the help of an offset buffer. Separating the two incompatible tasks allows for better control over each of them individually, with the benefit of a very good overall result as it can be seen from the color plate and accompanying video.