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A paper presentation on super resolution algorithm using weighted Markov random fields
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𝑀𝑘 𝐵 𝐷
𝐸 𝜃 = 𝑦𝑘 − 𝑦𝑘(𝑙,𝜃) 2
• 𝑧 = 𝑎𝑟𝑔𝑚𝑎𝑥 𝑝 𝑦 𝑧 𝑝(𝑧)
𝑝(𝑦)
𝑧 = 𝑎𝑟𝑔𝑚𝑖𝑛[ ‖𝑦𝑘 − 𝐴𝑘𝑧‖
𝑘
2+ λ𝛤(𝑧)]
𝛤 z = 𝑉𝑐 𝑧 = 𝑤𝑚𝜌(𝑑𝑖,𝑗𝑚𝑧)4
𝑚=1𝐿2𝑁2−1𝑗=0
𝐿1𝑁1−1𝑖=0𝑐∈𝐶
• 𝑑𝑖,𝑗1 𝑥 = 𝑥𝑖,𝑗+1 − 2𝑥𝑖,𝑗 + 𝑥𝑖,𝑗−1
• 𝑑𝑖,𝑗2 𝑥 =
2
2(𝑥𝑖−1,𝑗−1 − 2𝑥𝑖,𝑗 + 𝑥𝑖+1,𝑗+1)
• 𝑑𝑖,𝑗3 𝑥 = 𝑥𝑖+1,𝑗 − 2𝑥𝑖,𝑗 + 𝑥𝑖−1,𝑗
• 𝑑𝑖,𝑗4 𝑥 =
2
2(𝑥𝑖−1,𝑗+1 − 2𝑥𝑖,𝑗 + 𝑥𝑖+1,𝑗−1)
• 𝑟 𝑧 𝑛 = 𝐴𝑘𝑇 𝐴𝑘𝑧
𝑛 − 𝑦𝑘 +𝑘 ∇𝛤 𝑧 𝑛
• 𝐴𝑘𝑇 𝐴𝑘𝑧
𝑛 − 𝑦𝑘 = 𝑀𝑘𝑇𝐵𝑇𝐷𝑇(𝐷𝐵𝑀𝑘𝑧
𝑛 − 𝑦𝑘)
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![Effects of Resolution and Registration Algorithm on …...has mostly used 8 mm isotropic resolution volumes, and re-lied on the PACE algorithm [10] for image registration on the scanner](https://img.pdfslide.net/doc/110x75/5fbc7f11f8abb209da491e80/effects-of-resolution-and-registration-algorithm-on-has-mostly-used-8-mm-isotropic.jpg)
