• Title/Summary/Keyword: Fractal 이론

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Gaussian Noise Reduction Algorithm using Self-similarity (자기 유사성을 이용한 가우시안 노이즈 제거 알고리즘)

  • Jeon, Yougn-Eun;Eom, Min-Young;Choe, Yoon-Sik
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.44 no.5
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    • pp.1-10
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    • 2007
  • Most of natural images have a special property, what is called self-similarity, which is the basis of fractal image coding. Even though an image has local stationarity in several homogeneous regions, it is generally non-stationarysignal, especially in edge region. This is the main reason that poor results are induced in linear techniques. In order to overcome the difficulty we propose a non-linear technique using self-similarity in the image. In our work, an image is classified into stationary and non-stationary region with respect to sample variance. In case of stationary region, do-noising is performed as simply averaging of its neighborhoods. However, if the region is non-stationary region, stationalization is conducted as make a set of center pixels by similarity matching with respect to bMSE(block Mean Square Error). And then do-nosing is performed by Gaussian weighted averaging of center pixels of similar blocks, because the set of center pixels of similar blocks can be regarded as nearly stationary. The true image value is estimated by weighted average of the elements of the set. The experimental results show that our method has better performance and smaller variance than other methods as estimator.

From Trauma To growth: Posttraumatic Growth Clock (외상 후 병리에서 성장으로: 외상 후 성장 시계)

  • Lee, Hong-Seock
    • Korean Journal of Cognitive Science
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    • v.27 no.4
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    • pp.501-539
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    • 2016
  • The human mind is a self-evolving system that develops along a multidimensional hierarchical pathway in response to traumatic stimulus. In absence of trauma, a mind integrated in conflict-free state is called monistic. When the monistic mind responses to a traumatic stimulus, a response polarity forms toward stimulus polarity within the mind, turning it into a bipartite structure. Dialectical interaction between the two opposites, originating from their incompatibility, creates a new third polarity in the upper dimension. Thereby, the mind turns into a trinity structure. When the interaction among the three polarities becomes optimized, the plasticity of the mind gets maximized into the "far-from-equilibrium state," and the function of three polarities is synchronized. Through this recalibration, the mind returns back to its monistic structure. If the mind with the recurred monistic structure responds to another traumatic stimulus, this cycle of hierarchical transformation repeats itself in this cyclical and fractal growth process through synchronization of basic trinity system. Applying this concept to the process of post-traumatic growth (PTG), this paper explores how the mind transforms traumatic experiences into PTG and proposes a 'PTG Clock' that shows a fundamental sequence in the development of the human mind. The PTG Clock consists of seven hierarchical phases, and each of the first six phases has two opposite sub-phases: shocked/numbed, feared/intrusive, paranoid/avoidant, obsessional/explosive, dependent/depressive, and meaningless/searching for meaning. The seventh, the synchronization phase, completes one cycle of the mind's transformation, realizing a grand trinity system, where the mind synchronizes its biological, social, and existential dimensions. At that point, the mind becomes more susceptible to not only the stimulus of its own traumatic experience but also the pain of others. Thereby, the PTG Clock sets out on a journey to another cycle of transformation in higher dimensions. The validity of this transformational process for the PTG Clock will be examined by comparing it to Horowitz's theory of stress response syndrome.