Systems and methods for resolution-invariant image representation

1. A computer-implemented process to generate a super resolution image, the process comprising:

generating a set of multi-resolution bases from one or more high-resolution training images, including extracting multiple high frequency layers and corresponding multiple middle frequency layers and extracting, from each frequency layer, image patches as bases to generate a learning Resolution-Invariant Image Representation (RIIR) basis set;

receiving a low resolution image obtained by down-sampling the one or more training images;

generating a multi-scale image magnification (MSIM) of the low resolution image;

scaling the low resolution image either as Continuous Image Scaling (CIS) or via content-based automatic zooming;

estimating a sparse resolution-invariant representation of an image at an original resolution;

reconstructing the image with one or more missing patches at any resolution level including a super resolution level using the RIIR basis set; and

rendering the image at the predetermined resolution level at the super resolution level higher than the original resolution.

2. The process of claim 1 , further comprising:

training the RIIR bases set.

3. The process of claim 1 , further comprising:

applying the RIIR to an image with limited resolution to generate a new basis set at any scale on the fly.

4. The process of claim 1 ,

wherein the multi-resolution bases comprises the RIIR base set,

further comprising:

obtaining a sparse resolution-invariant representation of an image patch at an reference resolution given the RIIR base set.

5. The process of claim 1 , further comprising:

applying the RIIR set to learn a resolution invariant representation.

6. The process of claim 1 , further comprising:

scaling the image to multiple resolutions using the resolution invariant representation.

7. The process of claim 1 , further comprising:

resizing the image using only matrix-vector manipulation.

8. The process of claim 1 , further comprising:

applying a fixed point destination scale factor.

9. The process of claim 1 , further comprising:

applying a floating point destination scale factor.

10. The process of claim 1 , further comprising:

determining a best scale based on an image content.

11. The process of claim 1 , further comprising:

applying a reference scale to the RIIR basis set.