三线性插值

用户不但可以交互地控制放大或缩小比率来绘制体数据，还可以选择采用光照或由多重纹理实现的三线性插值来获得不同的绘制效果。

The user not only can control the zoom in or zoon out factor to render the volume data , but also can achieve different rendering effects by selecting lighting or trilinear interpolation which is implemented by multi textures .

在插值方法研究方面详细介绍了逆距离插值方法，并引入有限单元法中的型函数思想实现双线性/三线性插值，这种基于型函数的线性插值方法具有严格二阶精度、计算简单的优点。

First , use the grid-based kd-tree to increase the intersection efficiency , and in interpolation methods , offer the inverse distance interpolation method and implement bilinear / trilinear interpolation based on form function of finite element method , which is second-order accurate and computationally inexpensive .

医学图像体绘制中的快速三线性插值算法

A Fast Tri-linear Interpolation Algorithm for Volume Rendering of Medical Images

拓扑结构正确的三线性插值曲面的三角片逼近

A Topology Complexity Based Method to Approximate Isosurface with Trilinear Interpolated Triangular Patch

采样点的插值应用了三线性插值算法；在物质分类方法中选择了较为简单、速度较快的阈值法；

In order to accelerate rendering , tri-linear interpolation and threshold classification are introduced .

以体数据为基础，实现了相对紧临域的三线性插值剖面重建算法。

This paper introduces a tri-linear interpolation section plane method based on DICOM volume data .

结果针对体数据的特性，提出了一种高效灵活的三线性插值算法。

Result According to the property of volume data , an effective and flexible tri linear interpolation algorithm was proposed .

同时，为了避免软件实现三线性插值的问题，引入三维纹理，实现硬件对体数据的重采样。

At the same time , in order to avoid software implementation of tri-linear interpolation , three-dimensional texture is introduced to implement resample by hardware .

三维纹理的体绘制算法由于其利用显卡加速渲染、硬件实现三线性插值和不丢失图像的纹理特性3大优点，尤其适合医学超声数据的实时三维可视化。

Graphics card based rendering , hardware supported tri-linear interpolation , lossless texture character of the raw images , these three strong points make 3D texture-based volume rendering especially suitable for real-time 3D visualization of ultrasound data .

在进行直接体绘制方法的研究中，提出了基于三维空间相关性的快速光线投射体绘制算法和基于分类的快速三线性插值算法，两者的结合保证了体绘制交互显示的实时性；

For the direct volume rendering , this thesis presents an accelerated ray-casting volume rendering algorithm based on three-dimensional space coherence and an accelerated tri-linear interpolation algorithm based on classification , both of which ensure the real-time volume rendering .

在图像配准过程中，采用了三线性PV插值来避免图像变换所带来的灰度直方图计算困难的问题。

Moreover , Trilinear Partial Volume Distribution Interpolation is took in order to avoid the difficulties of calculating gray because of image transformation .

移动立方体算法的三重线性插值研究

The Research on Trilinear Interpolation of Marching Cube

采用三角形剖分和相应的三顶点线性插值，插值函数采用一阶线性函数。

Using triangle subdivision and three vertices linear interpolation function , which is a first order linear function .

现在采用的是三重线性插值模型，用三重线性插值计算等值面与体单元的交点。

Now it employs the model of trilinear interpolation on the interior of voxels , to compute the intersection of the isosurface with the voxel .

然后根据粒子在空间格子上的具体位置进行三次线性插值计算出粒子精确的物理速度。

Then according to the specific location of the particles in the space lattice , the three linear interpolations are used to calculate the precise particle physics speed .

然后利用有限单元法解变分问题，采用六面体单元对研究区域进行剖分，对电导率及电位均用三线性函数进行插值；

Then , we divide the entire region into many hexahedron elements , and interpolate conductivity and electric potential with a trilinear function in each element .

再以互信息为配准的代价函数，以三线性部分体积插值为其插值算法，以第四军医大学硕士论文一种组合的全局优化算法为其最优化算法，求取最优配准参数。

Then we adopt MI ( Mutual Information ) as cost function , PV ( Partial Volume Interpolation ) as interpolation , a new combined optimization algorithm that we invited as our optimization algorithm to search the best registration parameters .

第三章对基于线性插值的特征差分格式进行了改进。

In Chapter 3 , considered with the idea of interpolation with the closest points , the characteristic difference method based on linear interpolation is improved .