# Signal reconstruction via operator guiding

## TL;DR

This paper introduces a flexible operator-guided approach for signal reconstruction that enhances specific components, demonstrated through super-resolution examples using guiding images to improve resolution and detail.

## Contribution

It proposes general guiding operators beyond orthogonal projectors, enabling practical and effective signal reconstruction, especially in super-resolution tasks.

## Key findings

- Successful super-resolution of RGB and depth images using guiding operators
- Guided reconstruction improves image resolution and detail
- Method applicable to various signal enhancement scenarios

## Abstract

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.