中文摘要：

将彩色图像像素点的3个颜色分量当作一个纯四元数来处理，在充分考虑了图像3个颜色分量的内在相关性、图像本身的非线性机制的基础上，构造了基于球面线性四元数插值方法和代数三角混合四元数插值样条方法的彩色图像插值算法。实验结果表明，四元数方法用于彩色图像插值时，所处理的图像清晰度和色彩亮度均较传统方法有较大改进，边缘细节上也更丰富。

英文摘要：

This paper regards the three components of color image as a pure quaternion and presents the algorithms for color image zooming via spherical linear quaternion interpolation and algebraic trigonometric blending quaternion interpolation spline based on the research of the intrinsic correlation of color components and the nonlinear mechanism of image itself. Illustration shows that, using the new quaternion interpolation method, the clarity, brightness and more rich details on the edges of color image have greater improvements than the cases of traditional method by bicubic spline interpolation.