用B样条的尺度关系来实现图像任意精度的放大缩小

Image Enlargement and Reduction with Arbitrary Accuracy through Scaling Relation of B-Spline

图像的缩放问题一般是采用 B样条的连续显式方式来实现的 ,这种算法易于理解 ,但是随着 B样条阶数的提高 ,编码和运算相对费时 .文中提出利用 B样条的尺度方程进行图像缩放的算法 ,该算法可对不同阶数的 B样条有统一而简单的编码 ,通过设定不同的误差限 ,可以得到不同精度的缩放结果 。

The continuous representation of B Spline is generally adopted in the algorithms of image reduction and enlargement, although the algorithm is easy to understand, it is quite expensive to implement with the increase of B Spline's order. This paper presents a new algorithm using scaling function of B\|spline wavelet to resizing image, which maintains simple and uniform coding for different order B Spline. Different accuracy of image resizing can be achieved by setting different error bound, that controls at the same time the time of computing.