Quantum TV and applications in image processing | Zendy

Jianhong Shen | Zendy; Sung Ha Kang | Zendy

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Quantum TV and applications in image processing

Author(s) -

Jianhong Shen,

Sung Ha Kang

Publication year - 2007

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2007.1.557

Subject(s) - computer science , algorithm , quantum , image (mathematics) , image processing , gradient descent , quantization (signal processing) , theoretical computer science , artificial intelligence , artificial neural network , physics , quantum mechanics

Closely inspired by the total variation (TV) model of Rudin, Osher and Fatemi [Physica D, 60:259-268,1992], we propose the quantized or quantum TV model (either with a preassigned quanta set $Q$ or without), and study the associated mathematical properties and computational algorithms. An algorithm based on stochastic or Markovian gradient descent is proposed to handle the discrete programming nature of the quantum TV model, which further leads to a two-step iterative algorithm for the computationally more challenging free quantum TV model. We also demonstrate several major applications of the proposed models and algorithms in bar code scanning, image quantization, and image segmentation.

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