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。

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Generating subdivision surfaces with complicated curve interpolation constrains is a concerned topic for computer graphics and geometric modeling.

带有复杂型曲线插值约束的细分曲面的生成，是计算机图形学及几何造型技术等领域所关心的一个问题。

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Image interpolation is an important task in the field of digital image processing. It is fundamental to many digital image operations, such as scaling, rotation, and geometric correction.

图像插值是数字图像处理领域的一项重要任务，是图像缩放、旋转、几何矫正等图像操作的基础。

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