[数] 双线性插值
This paper gives a solution which is based on MSE and bilinear interpolation.
针对这一常见问题，采用基于MSE拟合、双线性插值的方法对拍摄图像进行校正。
The accuracy of hardware correction is decided by the accuracy of software correction. The hardware bilinear interpolation has good accuracy and can correct general images.
硬件的校正精度取决于软件的校正精度，双线性内插法具有良好的精度、完全满足一般图像灰度校正的要求。
In order to speed up, a discrete bilinear interpolation algorithm is proposed.
为提高其计算速度，提出了离散化双线性插值算法。
Finally, the rigid transformation and bilinear interpolation in the image prepared for registration is carried out to realize image registration.
最后对待配准图像进行刚体变换及双线性插值，从而实现图像配准。
To point to coupling disturbance made by the dual-axis tilt, it makes a study of compensation methods based on bilinear interpolation of query table and multi-sensor fusion.
针对双轴倾角传感器测量角度时引起的耦合干扰，采用了通过查询表的双线性插值和多传感器融合相结合的补偿方法。
The main mathematical tool of this method is bilinear interpolation.
该方法的主要数学工具是双线性插值。
The bilinear interpolation algorithm is used to correct the distorted QR code and then repair the image with morphology.
然后通过双线性插值算法对发生倾斜的QR码进行纠正，并对结果修补。
It provides better visual effect than bilinear interpolation when they are used in digital image processing, but its performance is lower.
它和双线性插值相比具有更好的图像变换效果，但计算性能较低。
In space discretization, a piecewise bilinear interpolation is used. THe integrals over patches are carried out analytically in closed form.
采用分片双线性插值的空间离散方案，经解析处理，子域上的积分能得到闭式结果。
In this paper, the necessity of rectification of digital aerial image is expounded. The bilinear interpolation is used in the rectification programming.
阐述了航摄数码图像纠正的必要性，并采用双线性内插法编制了航摄数码图像的纠正程序。
The bilinear interpolation and neural network was analyzed, and the two means were used to modify the nonlinearity error of PSD and compensate it.
对插值算法、神经网络算法进行了分析，并利用这两种方法对PSD的非线性误差进行了修正补偿。
This paper stu***s intensively the bilinear interpolation and 2D-IFFT method of reconstructing image from the unevenly spaced data in the spatial frequency domain.
本文深入研究了由空间频域上的非均匀采样数据重建图象的“双线性插值加二维快速傅里叶反变换”方法。
Due to low-pass characteristic of bilinear interpolation, DTSS can effectively suppress noise and get accurate search of motion vector.
利用双线性插值下采样方法的低通特性，可以实现在噪声干扰情况下对运动矢量的准确搜索；
This paper analyses three composed motion vector method such as bilinear interpolation method , FDVS method and forward vector method in temporal resolution reduction in detail.
分析了基于降低时间分辨率转换编码模型的运动估值问题，给出了双线性内插法、前向主向量选择法和前向向量法的理论分析结果和实验结果。
Futhermore, proposed an adaptive motion vector refinement scheme to improve PSNR greater, it is better than conventional FDVS, bilinear interpolation method and forward vector method.
仿真结果表示，在前向向量法基础上仿真动态跳帧和运动矢量的修正比FDVS、双线性内插法和前向向量法能够提高图像的信噪比。
Bilinear interpolation algorithm for image display, zoom in, save functions.
说明：双线性插值算法实现的图像显示、放大、保存的功能。
The realized results show that the bilinear interpolation algorithm and its hardware realizing modules achieve the desired results.
应用结果表明，双线性插值算法及其硬件实现模块达到了预期的效果。
Firstly, the algorithm of triangular bilinear interpolation is shown in detail and applied to acquire the profile from TIN.
首先，实现了三角形双线性内插算法并应用于纵断面获取。
Three-dimensional MCG is plotted by the way of bilinear interpolation and higher fitting.
通过线性插值和高阶拟合的方法，绘制出人体心脏各个时刻的等磁图。
Application of bilinear interpolation algorithm in litchi leaf image rotation for photosynthetic simulation;
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。
Futhermore, proposed an adaptive motion vector refinement scheme to improve PSNR greater, it is better than conventional FDVS, bilinear interpolation method and forward vector metho…
仿真结果表示，在前向向量法基础上仿真动态跳帧和运动矢量的修正比FDVS、双线性内插法和前向向量法能够提高图像的信噪比。
Interpolation on gray images is needed in the course of geometric operation. Bilinear interpolation algorithm is effective, but its program is complex and the running time is longer.
几何运算要求对图像进行灰度值插值，双线性算法可产生令人满意的效果，但是程序较复杂，运行时间较长。
The linear interpolation and bilinear interpolation were employed to obtain the values of the proper modes on locations where the wind pressure time series are to be predicted.
采用线性插值及双线性插值得到预测点位置上的本征模态值。 结构由原风压场协方差分析得到的主坐标和上述新本征模态值获得未布置测压点位置的风压时间序列。
In triangular and rectangle elements, the RFI is equivalent to area coordinates of triangular and bilinear polynomial interpolation in quadrilateral, respectively.
在三角形单元和矩形单元上，多边形有理函数插值分别等价于传统有限元的三角形面积坐标插值和四边形双线性插值；
To achieve a high quality image and fewer hardware resources, the edge-based algorithm was adopted in horizontal interpolation and bilinear algorithm in vertical interpolation;
为了达到良好的显示效果且同时节省硬件资源，水平缩放采用基于边缘的插值算法，垂直缩放采用双线性插值算法；
双线性插值（Bilinear Interpolation）是一种在二维网格上估计未知点值的数学方法，它通过对该点周围四个已知点的值进行两次线性插值（一次沿水平方向，一次沿垂直方向）来实现。其核心思想是利用邻近像素的加权平均来计算新像素值，常用于图像缩放、旋转等处理中，能产生比最近邻插值更平滑的结果。
计算原理：
主要特点与应用：
参考来源：
cv::resize）时会说明其使用的插值方法，包括双线性插值。双线性插值（bilinear interpolation）是一种二维空间中的插值方法，用于在已知四个相邻点的数值基础上，估算某一点的新数值。它通过对两个方向（水平、垂直）进行线性插值的组合来实现平滑过渡，广泛应用于图像缩放、纹理映射、地理信息系统等领域。
线性插值扩展：在水平和垂直方向分别执行线性插值。例如，在图像中，先对左右两个点水平插值得到两个中间值，再对这两个中间值垂直插值得到最终结果。
权重计算：根据目标点与四个已知点的距离比例分配权重。距离越近的点，对结果的影响越大。例如，若目标点距离左上角点 $(x_1, y_1)$ 的水平距离为 $t$，垂直距离为 $u$，则其权重为 $(1-t)(1-u)$，其他三个点的权重类似。
假设已知四个点 $(x_1, y_1), (x_1, y_2), (x_2, y_1), (x_2, y2)$ 的数值分别为 $Q{11}, Q{12}, Q{21}, Q_{22}$，目标点 $(x, y)$ 的插值结果为： $$ f(x,y) = frac{1}{(x_2-x_1)(y_2-y_1)} left[ begin{aligned} &(x_2 - x)(y2 - y)Q{11} + (x - x_1)(y2 - y)Q{21} &+ (x_2 - x)(y - y1)Q{12} + (x - x_1)(y - y1)Q{22} end{aligned} right] $$ 若网格单位间距为1，可简化为： $$ f(x,y) = (1-t)(1-u)Q{11} + t(1-u)Q{21} + (1-t)u Q{12} + tu Q{22} $$ 其中 $t = x - x_1$，$u = y - y_1$。
例如，将2x2像素的图像放大到3x3时，新像素的值即通过周围原始像素的双线性插值计算得出。
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