System and method of image zooming with intensity preservation
View Patent ↗Systems and methods image zooming with intensity preservation is disclosed. In one aspect, embodiments of the present disclosure include a method, which may be implemented on a system, of minimizing energy levels over a set of high-resolution image pixels of a high-resolution image via total variational filtering to obtain the high-resolution image from at least a portion of a low-resolution image; the low-resolution image having a first energy level, the high resolution image having a second energy level, and the first energy level to be substantially similar in value as the second energy level. One embodiment can include, determining a pixel value of a particular high-resolution image pixel based on the pixel values of a plurality of pixels of the at least a portion of the low-resolution image and the pixel values of the high-resolution image pixels not including the particular high-resolution image pixel.
1. A method of enlarging an image, the method comprising:
minimizing energy levels of a set of high-resolution image pixels of a high-resolution image via total variational filtering the set of high-resolution image pixels, the high-resolution image to be an enlarged version of at least a portion of a low-resolution image, the at least a portion of the low-resolution image to have an area substantially equal to that of the high-resolution image,
wherein the low-resolution image corresponds to a first energy level and the high resolution image corresponds to a second energy level, the first energy level to have substantially a same value as the second energy level.
2. The method of claim 1 , further comprising determining a first magnitude variation of a high-resolution image pixel and a first neighboring pixel of the high-resolution image pixel.
3. The method of claim 2 , further comprising determining a second magnitude variation of the high-resolution image pixel and a second neighboring pixel of the high-resolution image pixel.
4. The method of claim 3 , further comprising determining a plurality of magnitude variations between the high-resolution image pixel and a plurality of neighboring pixels of the high-resolution image pixel.
5. The method of claim 1 , wherein the minimizing energy comprises, filtering the high-resolution image pixels with a filter associated with the plurality of magnitude variations.
6. The method of claim 5 , further comprising determining a pixel value of a particular high-resolution image pixel based on the pixel values of a plurality of pixels of the at least a portion of the low-resolution image and the pixel values of the high-resolution image pixels not including the particular high-resolution image pixel.
7. The method of claim 6 , further comprising identifying the pixel values of a set of high-resolution image pixels, such that, the average value of the pixel values of the set of high-resolution pixels is substantially equal to the average of pixel values of the at least a portion of the low-resolution image.
8. The method of claim 2 , wherein the magnitude variation is computed via the ordinary Euclidean gradient.
9. A non-transitory computer readable medium embodying computer executable instructions, the instructions causing a computer to perform a method of image zooming, the method comprising:
minimizing energy levels of a set of high-resolution image pixels of a high-resolution image via total variational filtering the set of high-resolution image pixels, the high-resolution image to be an enlarged version of at least a portion of a low-resolution image, the at least a portion of the low-resolution image to have an area substantially equal to that of the high-resolution image,
wherein the low-resolution image corresponds to a first energy level and the high resolution image corresponds to a second energy level, the first energy level to have substantially a same value as the second energy level.
10. The non-transitory computer readable medium of claim 9 , further comprising determining a plurality of magnitude variations between a high-resolution image pixel of the high-resolution image and a plurality of neighboring pixels of the high-resolution image pixel.
11. The non-transitory computer readable medium of claim 9 , wherein the minimizing energy comprises, filtering the high-resolution image pixels with a filter associated with the plurality of magnitude variations.
12. The non-transitory computer readable medium of claim 11 , further comprising determining a pixel value of a particular high-resolution image pixel based on the pixel values of a plurality of pixels of the at least a portion of the low-resolution image and the pixel values of the high-resolution image pixels not including the particular high-resolution image pixel.
13. The non-transitory computer readable medium of claim 12 , further comprising identifying the pixel values of a set of high-resolution image pixels, such that, the average value of the pixel values of the set of high-resolution pixels is substantially equal to the pixel values of the at least a portion of the low-resolution image.
14. The non-transitory computer readable medium of claim 9 , wherein the magnitude variation is computed via the ordinary Euclidean gradient.
15. A system of enlarging an image, the system comprising:
means for, minimizing energy levels of a set of high-resolution image pixels of a high-resolution image via total variational filtering the set of high-resolution image pixels, the high-resolution image to be an enlarged version of at least a portion of a low-resolution image, the at least a portion of the low-resolution image to have an area substantially equal to that of the high-resolution image,
wherein the low-resolution image corresponds to a first energy level and the high resolution image corresponds to a second energy level, the first energy level to have substantially a same value as the second energy level.
16. The system of claim 15 , further comprising determining a plurality of magnitude variations between a high-resolution image pixel of the high-resolution image and a plurality of neighboring pixels of the high-resolution image pixel.
17. The system of claim 15 , wherein the minimizing energy comprises, filtering the high-resolution image pixels with a filter associated with the plurality of magnitude variations.
18. The system of claim 17 , further comprising determining a pixel value of a particular high-resolution image pixel based on the pixel values of a plurality of pixels of the at least a portion of the low-resolution image and the pixel values of the high-resolution image pixels not including the particular high-resolution image pixel.
19. The system of claim 18 , further comprising identifying the pixel values of a set of high-resolution image pixels, such that, the average value of the pixel values of the set of high-resolution pixels is substantially equal to the pixel values of the at least a portion of the low-resolution image.