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Visualizing diffusion tensor fields on streamsurfaces with merging ellipsoids 被引量:1
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作者 SONG Wei-jie CHEN Wei +2 位作者 CHEN Hai-dong ZHENG Hong-chan CUI Jun-zhi 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2014年第4期399-409,共11页
Streamsurfaces in diffusion tensor fields are used to represent structures with pri- marily planar diffusion. So far, however, no effort has been made on the visualization of the anisotropy of diffusion on them, altho... Streamsurfaces in diffusion tensor fields are used to represent structures with pri- marily planar diffusion. So far, however, no effort has been made on the visualization of the anisotropy of diffusion on them, although this information is very important to identify the problematic regions of these structures. We propose two methods to display this anisotropy information. The first one employs a set of merging ellipsoids, which simultaneously character- ize the local tensor details - anisotropy - on them and portray the shape of the streamsurfaces. The weight between the streamsurfaces continuity and the discrete local tensors can be inter- actively adjusted by changing some given parameters. The second one generates a dense LIC (line integral convolution) texture of the two tangent eigenvector fields along the streamsurfaces firstly, and then blends in some color mapping indicating the anisotropy information. For high speed and high quality of texture images, we confine both the generation and the advection of the LIC texture in the image space. Merging ellipsoids method reveals the entire anisotropy information at discrete points by exploiting the geometric attribute of ellipsoids, and thus suits for local and detailed examination of the anisotropy; the texture-based method gives a global representation of the anisotropy on the whole streamsurfaces with texture and color attributes. To reveal the anisotropy information more efficiently, we integrate the two methods and use them at two different levels of details. 展开更多
关键词 visualization ANISOTROPY diffusion tensor field streamsurface merging ellipsoid LIC.
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二阶张量场可视化研究 被引量:2
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作者 李海生 杨钦 陈其明 《计算机科学》 CSCD 北大核心 2003年第1期94-96,共3页
Second-order tensors are widely existed in engineering,physical science and biomechanics. Examples arestresses and strains in solids and velocity gradients in fluid flows. This paper takes the Boussinesq' s proble... Second-order tensors are widely existed in engineering,physical science and biomechanics. Examples arestresses and strains in solids and velocity gradients in fluid flows. This paper takes the Boussinesq' s problem as an ex-ample which is typical in Elasticity Mechanics ,and visualizes the second-order real symmetric tensor fields by ellipsoidicons and hyperStreamlines. The results are reasonable. The visualization methods adopted in this paper are also suit-able for other second-order symmetric tensor fields such as electromagnetic field. 展开更多
关键词 二阶张量场 可视化 计算机图形学 数字图像 数据场
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基于面图标的三维对称张量场可视化研究 被引量:2
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作者 宋伟杰 崔俊芝 叶正麟 《工程图学学报》 CSCD 北大核心 2010年第6期146-150,共5页
现有的三维对称张量场可视化的面图标方法,仅表现了张量场的某一特征向量场在面图标上的方向信息,而没有表现出特征向量场的大小,基于此,提出了在面图标上通过绘制三维等值线及利用颜色属性来表现特征向量场的大小信息,这样,面图标就将... 现有的三维对称张量场可视化的面图标方法,仅表现了张量场的某一特征向量场在面图标上的方向信息,而没有表现出特征向量场的大小,基于此,提出了在面图标上通过绘制三维等值线及利用颜色属性来表现特征向量场的大小信息,这样,面图标就将特征向量场的方向和大小信息同时表现出来,从而进一步完善了三维对称张量场的面图标方法,更全面地揭示了张量场位于空间曲面上的信息。 展开更多
关键词 工程图学 可视化 面图标 等值线 对称 张量场
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