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題 名 | Fractal Analysis of Self-Similar Textures Using Wigner-Ville Distribution=應用Wigner-Ville Distribution於自我相似影像之碎形分析 |
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作 者 | 溫哲彥; | 書刊名 | 弘光學報 |
卷 期 | 30 1997.10[民86.10] |
頁 次 | 頁125-143 |
分類號 | 416.26 |
關鍵詞 | 碎形; 醫學影像分析; Fractals; Medical image analysis; Wigner-ville distribution; |
語 文 | 英文(English) |
中文摘要 | 目前醫院大都是以測量骨密度(bone density)來做為骨骼強度(bone strength)的指標,然而骨密度雖是主要因素,卻非唯一的要素。Trabecular bone microarchitecture已被証明是影響骨骼強度的另一重要因素。B.B. Mandelbrot於1967年所提出的“碎形”(Fractals)概念,近年來已被廣泛地應用在各種領域。在碎形分析的過程中,最重要的是測量所謂的碎形空間度(Fractal Dimension),或“碎形參數H”。相對於傳統的歐幾里得空間度(Euclidean Dimension)的整數值,碎形空間度則可以是非整數值。“碎形”理論已被用來分析許多“自然性”的紋路影像。在所有的碎形數學模式中,“碎形布朗運動”扮演著重要的角色,並且已被用來分析“自我相似”紋路影像。在本文中,我們提出應用Rigner-ViileDistribution來計算碎形空間度,並利用“碎形”實驗影像與真實人類骨骼核共振影像來測試我們的方法。 |
英文摘要 | It has been shown that bone density is not the unique factor conditioning bone strength. Trabecular bone microarchitecture also plays an important role, and its structural changes can be evaluated by fractal analysis method. Fractal analysis method proposed by B.B. Mandelbrot has been successfully used in the characterization of many "natural" textures. In using the fractal model, the most important procedure is to measure the fractal parameter H (or the Hurst coefficient), which is directly related to the fractal dimension (or the Hausdorff Besicovitch dimension).The fractal dimension can be treated as texture features when applied to classification problems, and it is not necessary to be an integer as the traditional Euclidean dimension. It has been shown that by using Fractional Brownian Motion (FBM), one of the most useful models in the fractal theory, self-similar textures can be characterized. The Wigner-Ville distribution (WVD) is a time-frequency representation with excellent time and frequency resolutions. In this paper, we propose the one-dimensional WVD method to measure the fractal parameter H. Synthetic fractal images and a human tibia image were used to compare the performance of the WVD, the Maximum Likelihood Estimator (MLE), and the Power Spectra method. |
本系統中英文摘要資訊取自各篇刊載內容。