中文摘要：

为了避免在图像缩小时图像中出现锯齿和模糊边缘的现象，分析了最近邻插值模型和曲面拟合模型，提出一种基于弹性模型的图像缩小算法，给出了插值运算的数学公式，模拟了不同算法作用于图像缩小的输出结果。实验结果表明，该算法能有效地应用于数字图像的缩小处理，得到的图像轮廓清晰、边界分明，且算法简单，易于实现。

英文摘要：

To avoid the phenomenon of jaggy and blurry edges during reducing an image, after analyzing the nearest neighbor interpolation model and the surface fitting model, an image reduction algorithm is proposed based on the spring model. The interpolation formula is presented, and the output results concerning on image reduction are simulated based on different algorithms. The result of experiment shows that the proposed method is able to maintain clear borders of the source image, and the algorithm is efficient in computation for making image reduction.