ON THE EXACT DEGREE OF APPROXIMATION BY HERMITE-FEJER INTERPOLATION BASED ON THE LAGUERRE ABSCISSAS

For the nonpositive Hermite-Fejér interpolation based on the Laguerre abscissas, a pointwise two-sided estimate of the degree of approximation in the aleatoric interval [0, A] is first established.

On the Method of Multiplier-enlargement and Approximation of Unbounded Continuous Functions

By combining the classical appropriate functions “1, x, x 2” with the method of multiplier enlargement, this paper establishes a theorem to approximate any unbounded continuous functions with modified positive linear operators. As an example, Hermite Fejér interpolation polynomial operators are analysed and studied, and a general conclusion is obtained.

基于拉格朗日插值多项式的秘密图像共享方案

利用拉格朗日插值多项式的不同构造方法,提出了可实现单幅或多幅图像秘密共享的(r,n)门限方案.解决了图像共享过程中诸如图像质量损失以及恢复秘密时的防欺诈等问题,并成功地将应用于灰度图像的方案相应地扩展到彩色图像上.利用该方案,在有图像质量损失的情况下,恢复图像的PPSNR(Peaks of theSignal-to-Noise Ratio)值均大于30 dB,而无质量损失情况下,恢复图像与原图相同.给出了实验结果和一些参数在特殊取值时的分析结果,提出了在实际共享图像时选取参数的建议.该方案在对共享图像质量有较高要求的场合有一定实用价值.

多波束水体影像的归位算法研究与实现

多波束水体影像近年来得到了广泛的应用,但由于缺少格式标准,各多波束厂商所支持的格式各不相同,给进一步的数据处理带来了一定的困难。基于Matlab平台,通过对ALL格式多波束测深数据文件与WCD格式多波束水体影像文件进行了详细的解析,并且研究了最近邻插值、改进最近邻插值、二维线性插值与三次多项式插值等多种算法,实现了多波束水体影像的回放显示与水体异常提取,并且实现了回放速度的控制,极大地提高了资料处理效率。