[數] 雙線性插值
This paper gives a solution which is based on MSE and bilinear interpolation.
針對這一常見問題，采用基于MSE拟合、雙線性插值的方法對拍攝圖像進行校正。
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.
硬件的校正精度取決于軟件的校正精度，雙線性内插法具有良好的精度、完全滿足一般圖像灰度校正的要求。
In order to speed up, a discrete bilinear interpolation algorithm is proposed.
為提高其計算速度，提出了離散化雙線性插值算法。
Finally, the rigid transformation and bilinear interpolation in the image prepared for registration is carried out to realize image registration.
最後對待配準圖像進行剛體變換及雙線性插值，從而實現圖像配準。
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.
針對雙軸傾角傳感器測量角度時引起的耦合幹擾，采用了通過查詢表的雙線性插值和多傳感器融合相結合的補償方法。
The main mathematical tool of this method is bilinear interpolation.
該方法的主要數學工具是雙線性插值。
The bilinear interpolation algorithm is used to correct the distorted QR code and then repair the image with morphology.
然後通過雙線性插值算法對發生傾斜的QR碼進行糾正，并對結果修補。
It provides better visual effect than bilinear interpolation when they are used in digital image processing, but its performance is lower.
它和雙線性插值相比具有更好的圖像變換效果，但計算性能較低。
In space discretization, a piecewise bilinear interpolation is used. THe integrals over patches are carried out analytically in closed form.
采用分片雙線性插值的空間離散方案，經解析處理，子域上的積分能得到閉式結果。
In this paper, the necessity of rectification of digital aerial image is expounded. The bilinear interpolation is used in the rectification programming.
闡述了航攝數碼圖像糾正的必要性，并采用雙線性内插法編制了航攝數碼圖像的糾正程式。
The bilinear interpolation and neural network was analyzed, and the two means were used to modify the nonlinearity error of PSD and compensate it.
對插值算法、神經網絡算法進行了分析，并利用這兩種方法對PSD的非線性誤差進行了修正補償。
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間頻域上的非均勻采樣數據重建圖象的“雙線性插值加二維快速傅裡葉反變換”方法。
Due to low-pass characteristic of bilinear interpolation, DTSS can effectively suppress noise and get accurate search of motion vector.
利用雙線性插值下采樣方法的低通特性，可以實現在噪聲幹擾情況下對運動矢量的準确搜索；
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.
分析了基于降低時間分辨率轉換編碼模型的運動估值問題，給出了雙線性内插法、前向主向量選擇法和前向向量法的理論分析結果和實驗結果。
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.
仿真結果表示，在前向向量法基礎上仿真動态跳幀和運動矢量的修正比FDVS、雙線性内插法和前向向量法能夠提高圖像的信噪比。
Bilinear interpolation algorithm for image display, zoom in, save functions.
說明：雙線性插值算法實現的圖像顯示、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.
應用結果表明，雙線性插值算法及其硬件實現模塊達到了預期的效果。
Firstly, the algorithm of triangular bilinear interpolation is shown in detail and applied to acquire the profile from TIN.
首先，實現了三角形雙線性内插算法并應用于縱斷面獲取。
Three-dimensional MCG is plotted by the way of bilinear interpolation and higher fitting.
通過線性插值和高階拟合的方法，繪制出人體心髒各個時刻的等磁圖。
Application of bilinear interpolation algorithm in litchi leaf image rotation for photosynthetic simulation;
以體數據為基礎，實現了相對緊臨域的三線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…
仿真結果表示，在前向向量法基礎上仿真動态跳幀和運動矢量的修正比FDVS、雙線性内插法和前向向量法能夠提高圖像的信噪比。
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.
幾何運算要求對圖像進行灰度值插值，雙線性算法可産生令人滿意的效果，但是程式較複雜，運行時間較長。
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.
采用線性插值及雙線性插值得到預測點位置上的本征模态值。 結構由原風壓場協方差分析得到的主坐标和上述新本征模态值獲得未布置測壓點位置的風壓時間序列。
In triangular and rectangle elements, the RFI is equivalent to area coordinates of triangular and bilinear polynomial interpolation in quadrilateral, respectively.
在三角形單元和矩形單元上，多邊形有理函數插值分别等價于傳統有限元的三角形面積坐标插值和四邊形雙線性插值；
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;
為了達到良好的顯示效果且同時節省硬件資源，水平縮放采用基于邊緣的插值算法，垂直縮放采用雙線性插值算法；
雙線性插值（Bilinear Interpolation）是一種在二維網格上估計未知點值的數學方法，它通過對該點周圍四個已知點的值進行兩次線性插值（一次沿水平方向，一次沿垂直方向）來實現。其核心思想是利用鄰近像素的加權平均來計算新像素值，常用于圖像縮放、旋轉等處理中，能産生比最近鄰插值更平滑的結果。
計算原理：
主要特點與應用：
參考來源：
cv::resize）時會說明其使用的插值方法，包括雙線性插值。雙線性插值（bilinear interpolation）是一種二維空間中的插值方法，用于在已知四個相鄰點的數值基礎上，估算某一點的新數值。它通過對兩個方向（水平、垂直）進行線性插值的組合來實現平滑過渡，廣泛應用于圖像縮放、紋理映射、地理信息系統等領域。
線性插值擴展：在水平和垂直方向分别執行線性插值。例如，在圖像中，先對左右兩個點水平插值得到兩個中間值，再對這兩個中間值垂直插值得到最終結果。
權重計算：根據目标點與四個已知點的距離比例分配權重。距離越近的點，對結果的影響越大。例如，若目标點距離左上角點 $(x_1, y_1)$ 的水平距離為 $t$，垂直距離為 $u$，則其權重為 $(1-t)(1-u)$，其他三個點的權重類似。
假設已知四個點 $(x_1, y_1), (x_1, y_2), (x_2, y_1), (x_2, y2)$ 的數值分别為 $Q{11}, Q{12}, Q{21}, Q_{22}$，目标點 $(x, y)$ 的插值結果為： $$ f(x,y) = frac{1}{(x_2-x_1)(y_2-y_1)} left[ begin{aligned} &(x_2 - x)(y2 - y)Q{11} + (x - x_1)(y2 - y)Q{21} &+ (x_2 - x)(y - y1)Q{12} + (x - x_1)(y - y1)Q{22} end{aligned} right] $$ 若網格單位間距為1，可簡化為： $$ f(x,y) = (1-t)(1-u)Q{11} + t(1-u)Q{21} + (1-t)u Q{12} + tu Q{22} $$ 其中 $t = x - x_1$，$u = y - y_1$。
例如，将2x2像素的圖像放大到3x3時，新像素的值即通過周圍原始像素的雙線性插值計算得出。
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