基于偏微分方程方法的头部医学图像三维可视化

发布时间：2018-04-04 11:34

本文选题：偏微分方程　切入点：医学图像三维可视化　出处：《华东师范大学》2015年硕士论文

【摘要】：头部医学图像三维可视化是医学图像处理领域比较热门的一个研究方向,并且在临床医疗中具有重要的应用意义。而偏微分方程方法在几何造型领域应用广泛,它把几何造型问题转化为一个关于边值的偏微分方程求解问题。偏微分方程方法的一个主要的特点在于,只需少量的边界条件即可构建出具有一定细节的几何模型。本文主要针对头部医学图像三维可视化问题进行研究。主要内容包括：(1)首先采用三维Chan-Vese软分割模型对头部医学体数据进行分割,并在分割的基础上,提取头部轮廓作为偏微分方程的边界条件。实验表明该方法具有较高的分割精确度,并且提取的边界条件与实际头部轮廓基本吻合。(2)建立基于Bloor-Wilson偏微分方程算法的头部医学图像三维可视化框架。在该框架下,首先利用提取的边界条件求解偏微分方程,从而重建出头部的表面模型。实验表明,Bloor-Wilson偏微分方程算法只需利用少量头部切片图像即可重建出头部的表面模型。其次,在原来偏微分方程算法的基础上引入新的参数W,并利用相同的边界条件重建头部的体模型。在此基础上,通过三维纹理映射,将体数据生成的三维纹理映射到体模型上,并且使纹理的不透明度与参数W线性相关,从而得到具有透视效果的体渲染结果。实验结果表明,本文提出的基于Bloor-Wilson偏微分方程算法的可视化框架适用于对头部医学图像进行可视化。
[Abstract]:The head of medical image 3D visualization of medical image processing is a hot research direction, and has important application significance in clinical medical treatment. While the PDE method is widely used in geometric modeling, the geometric modeling problem into a boundary value of the partial differential equations is a major problem. The characteristics of the method of partial differential equation, only a small number of boundary conditions can construct geometric model has certain details. This paper focuses on the head of the medical image 3D visualization problems. The main contents include: (1) firstly by 3D Chan-Vese soft segmentation model to segment the head medical volume data, and on the basis of image segmentation extraction, head contour as partial differential equations with boundary conditions. The results show that this method has higher segmentation accuracy, and extract the boundary conditions and The actual head contour basically. (2) to establish a framework for 3D visualization of head medical image Bloor-Wilson algorithm based on partial differential equations. In this framework, first by solving the boundary conditions of extraction of partial differential equation, surface model to reconstruct the head. Experimental results show that the surface model of Bloor-Wilson partial differential equation only with a small head section the head of the image can be reconstructed. Secondly, based on the original algorithm of partial differential equations on the introduction of new parameter W, and using the model boundary conditions of reconstruction of the same head. On this basis, through 3D texture mapping, the volume data generation of 3D texture mapping to the body model, and make the opacity and the parameters of W linear texture, resulting in a rendering results perspective. The experimental results show that the proposed Bloor-Wilson algorithm based on partial differential equation The visual framework is suitable for visualizing the medical images of the head.

【学位授予单位】：华东师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TP391.41;O175.2

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