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題 名 | A Maximum Likelihood Estimator and Fractal Analysis of Medical Images=最大可能性估計與醫學影像之碎形分析 |
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作 者 | 溫哲彥; | 書刊名 | 弘光學報 |
卷 期 | 31 1998.04[民87.04] |
頁 次 | 頁197-215 |
分類號 | 414.93 |
關鍵詞 | 碎形; 醫學影像分析; 最大可能性估計; Fractals; Medical image analysis; Maximum likelihood estimator; |
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 microar-chitecture已被證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,我們應用最大可能性估計(Maximum Likelihood Estimator;MLE)與傅立葉轉換來計算碎形空間度,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 | 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 morphology of trabecular bone can be evaluated by the fractal analysis method. Recently, it has been applied to evaluate images with a varying range of gray levels, such as bone radiographic images. The Maximum Likelihood Estimator(MLE) is considered to be the optimal estimator for the fractal parameter H, since the probability density function (PDF) of Fractional Brownian Motion (FBM) is known. In this work, we evaluated the performance of the MLE method with computer generated synthetic data. We applied the MLE method and Fourier transform to measure the fractal parameter H of an MRI image of a human tibia. From the experimental results, we found the MLE method provided good measurements of the fractal parameter H of the computer generated synthetic data, while comparing to the true H values of the data. When we applied the MLE method to measure the fractal parameter H of an MRI image of a human tibia, the value 0.248235, which could be used to evaluate the morphology of trabecular bone, was obtained. |
本系統中英文摘要資訊取自各篇刊載內容。