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

More documents

Recommendations

Info

Figure 2.6: Block diagram representation of (2.22), blocks G k and Rm,l are defined in Figure 2.7. R m, l a:Block diagram representation of similarity cost derivative (Gk) S S � S � l S x Horizontal Shift m y Vertical Shift Apply Sign Operator l x Horizontal Anti-shift m y Vertical Anti-shift b:Block diagram representation of regularization cost derivative (Rm,l) Figure 2.7: Extended Block diagram representation of G k and Rm,l blocks in Figure 2.6. 31 m�l �
as conjugate gradient is not a straightforward task and besides it is no longer guaranteed that the modified steepest descent and conjugate gradient minimization converge to the same answer. As an example, Figure 2.8(c) and Figure 2.8(d) show the result of implementing the proposed method on the same images used to generate Figures 2.2(d), and Figure 2.2(f) (repeated in Figures 2.8(a) and 2.8(b) for the sake of comparison), respectively. The outlier effects have been reduced significantly (more detailed examples are presented in section 2.3). a b c d Figure 2.8: Reconstruction of the outlier contaminated images in Figure 2.2. Non-robust reconstructed images in Figures 2.2(d) and 2.2(f) are repeated in (a) and (b), respectively for the sake of comparison. The images in (c)-(d) are the robust reconstructions of the same images that was used to produce Figures (a)-(b), using equation (2.22). Note the shadow around the hat in (a) and the salt and pepper noise in (b) have been greatly reduced in (c) and (d). In the next section we propose an alternate method to achieve further improvements in computational efficiency. 32
Page 1 and 2: UNIVERSITY OF CALIFORNIA SANTA CRUZ
Page 3 and 4: Contents List of Figures vi List of
Page 5 and 6: Appendix F Appendix: Affine Motion
Page 7 and 8: 2.3 Effect of upsampling D T matrix
Page 9 and 10: 3.11 Multi-frame color super-resolu
Page 11 and 12: 4.5 A sequence of 250 low-resolutio
Page 13 and 14: List of Tables 2.1 The true motion
Page 15 and 16: show that using such constraints wi
Page 17 and 18: I thank all the handsome gentlemen
Page 19 and 20: It’s the robustness, stupid! xix
Page 21 and 22: quality. We develop the theory and
Page 23 and 24: That is, ⎧ ⎪⎨ ⎪⎩ y1 = h1.
Page 25 and 26: problem of super-resolution is line
Page 27 and 28: accomplished by way of Lagrangian t
Page 29 and 30: which addresses the artifacts resul
Page 31 and 32: noise and Y is the resulting discre
Page 33 and 34: ods, where the regularization-like
Page 35 and 36: 2.2 Robust Super-Resolution 2.2.1 R
Page 37 and 38: and horizontal directions and subsa
Page 39 and 40: Note that if p =2then (2.8) will be
Page 41 and 42: Figure 2.3: Effect of upsampling D
Page 43 and 44: where λ, the regularization parame
Page 45 and 46: Although a relatively large regular
Page 47 and 48: image(X). Figure 2.5(b) is the corr
Page 49: of high-resolution frame � Xn. Bl
Page 53 and 54: of minimization problem (2.23) can
Page 55 and 56: norm is not robust to motion error,
Page 57 and 58: e one. Figure 2.12(f) is the result
Page 59 and 60: 50 100 150 200 250 300 350 50 100 1
Page 61 and 62: a: One of 8 LR Frames b: Cubic Spli
Page 63 and 64: a: Frame 1 of 55 LR Frames b: Frame
Page 65 and 66: Chapter 3 Multi-Frame Demosaicing a
Page 67 and 68: chrominance layers are separated fr
Page 69 and 70: Other examples of popular demosaici
Page 71 and 72: a: Original b: Down-sampled c: Blur
Page 73 and 74: 3.3 Mathematical Model and Solution
Page 75 and 76: epresents the down-sampling operato
Page 77 and 78: image (Spatial Luminance Penalty Te
Page 79 and 80: Acquire a Set of LR Color Filtered
Page 81 and 82: espect to the other color channels.
Page 83 and 84: in different color bands. Our propo
Page 85 and 86: the robust super-resolution method
Page 87 and 88: We used the method described in [48
Page 89 and 90: the color artifacts of a set of low
Page 91 and 92: a: Reconst. with lumin. regul. b: R
Page 93 and 94: a: Reconst. with all terms. Figure
Page 95 and 96: a: LR b: Shift-and-Add c: SR [4] on
Page 97 and 98: a b c d e f Figure 3.14: Multi-fram
Page 99 and 100: a b c d Figure 3.16: Multi-frame co
Page 101 and 102:
a b c d e f Figure 3.18: Multi-fram
Page 103 and 104:
ates from them in several important
Page 105 and 106:
order. The current image X(t) is of
Page 107 and 108:
With this alternative definition of
Page 109 and 110:
GS a 0 0 0 b 0 0 0 c D T GSD =⇒
Page 111 and 112:
Figure 4.2: Block diagram represent
Page 113 and 114:
ˆZ(t), necessitating a further joi
Page 115 and 116:
Figure 4.3: Block diagram represent
Page 117 and 118:
4.3 Simultaneous Deblurring and Int
Page 119 and 120:
Y (t) Input CFA Data Y R (t) Y G (t
Page 121 and 122:
4.5(b) & 4.5(f) show frames #50 and
Page 123 and 124:
a b c d e f g h Figure 4.6: A seque
Page 125 and 126:
dB 24 22 20 18 16 14 12 10 8 0 50 1
Page 127 and 128:
a b c d e f g h Figure 4.10: A sequ
Page 129 and 130:
Chapter 5 Constrained, Globally Opt
Page 131 and 132:
In this chapter, we study such prio
Page 133 and 134:
(a) (b) Figure 5.2: The consistent
Page 135 and 136:
vector field δi,j is spatially con
Page 137 and 138:
5.3.3 Robust Multi-Frame Registrati
Page 139 and 140:
MSE 10 −1 10 −2 10 −3 10 0 10
Page 141 and 142:
(a) (b) (c) (d) Figure 5.6: Experim
Page 143 and 144:
we advocated the use of the L1 norm
Page 145 and 146:
y the user. - The user is able to s
Page 147 and 148:
There is need for more research on
Page 149 and 150:
than the corresponding single-frame
Page 151 and 152:
In [111], Elad proved that such fil
Page 153 and 154:
all iterations, which means estimat
Page 155 and 156:
Appendix C Noise Modeling Based on
Page 157 and 158:
Appendix D Error Modeling Experimen
Page 159 and 160:
Appendix E Derivation of the Inter-
Page 161 and 162:
Appendix F Appendix: Affine Motion
Page 163 and 164:
Bibliography [1] A. Zomet, A. Rav-A
Page 165 and 166:
[26] H. Ur and D. Gross, “Improve
Page 167 and 168:
[55] K. Hirakawa and T. Parks, “A
Page 169 and 170:
[84] S. Farsiu, D. Robinson, M. Ela
Page 171:
[112] S. M. Kay, Fundamentals of st
show all

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

Create successful ePaper yourself

Delete template?

Save as template?