Signal reconstruction via operator guiding
This work addresses a practical implementation problem in signal reconstruction for image processing applications, offering incremental improvements over existing theoretical methods.
The paper tackles the practical difficulty of implementing signal reconstruction via orthogonal projectors by proposing more general guiding operators that enhance signal components in a guiding subspace, such as iterative low-pass edge-preserving filters for image super-resolution, with examples including no-flash RGB photos guided by flash RGB photos and depth images guided by RGB photos.
Signal reconstruction from a sample using an orthogonal projector onto a guiding subspace is theoretically well justified, but may be difficult to practically implement. We propose more general guiding operators, which increase signal components in the guiding subspace relative to those in a complementary subspace, e.g., iterative low-pass edge-preserving filters for super-resolution of images. Two examples of super-resolution illustrate our technology: a no-flash RGB photo guided using a high resolution flash RGB photo, and a depth image guided using a high resolution RGB photo.