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A FAST AND ROBUST FRAMEWORK FOR IMAGE FUSION AND ...

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List of Figures<br />

1.1 A block diagram representation of image formation and multi-frame image reconstruction<br />

in a typical digital imaging system. The forward model is a mathematical<br />

description of the image degradation process. The inverse problem<br />

addresses the issue of retrieving (or estimating) the original scene from the lowquality<br />

captured images. . . ........................... 2<br />

1.2 An illustrative example of the motion-based super-resolution problem. (a) A<br />

high-resolution image consisting of four pixels. (b)-(e) Low-resolution images<br />

consisting of only one pixel, each captured by subpixel motion of an imaginary<br />

camera. Assuming that the camera point spread function is known, and the<br />

graylevel of all bordering pixels is zero, the pixel values of the high-resolution<br />

image can be precisely estimated from the low-resolution images. . . . .... 3<br />

1.3 Super-resolution experiment on real world data. A set of 26 low quality images<br />

were fused resulting in a higher quality image. One captured image is shown in<br />

(a). The red square section of (a) is zoomed in (b). Super-resolved image in (c)<br />

is the high quality output image. ......................... 5<br />

2.1 Block diagram representation of (2.1), where X(x, y) is the continuous intensity<br />

distribution of the scene, V is the additive noise, and Y is the resulting<br />

discrete low-quality image. . ........................... 12<br />

2.2 Simulation results of outlier effects on super-resolved images. The original<br />

high-resolution image of Lena in (a) was warped with translational motion and<br />

down-sampled resulting in four images such as (b). (c) is an image acquired<br />

with downsampling and zoom (affine motion). (d) Reconstruction of these four<br />

low-resolution images with least-squares approach. (e) One of four LR images<br />

acquired by adding salt and pepper noise to set of images in (b). (f) Reconstruction<br />

of images in (e) with least-squares approach. ................ 19<br />

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