摘要图像插值是应用在各种领域从电脑制图,描绘,编辑,医学图像再现,网上图片阅览的重要图像运算过程。图像有关插值技术的文献涉及到非常多的术语如：如调整图像大小，图像重新采样，数字变焦，图像放大或增强等等。最常见的，图像插值算法被用来使一幅图像的分辨率（维数）转变为另一种分辨率而不丢失画面的可视内容。图像插值算法可以分为两大类：无适应性和有适应性。适应性图像插值技术的算法逻辑是建立在图像的固有特征和所输入图像内容上的而无适应性图像插值技术的算法逻辑完全不考虑输入图像的特征。在这篇论文中，我们会复习适应性和无适应性两种图像插值技术。我们描述所有这些算法的基本计算基础和其实现技术。我们提出了一些实验结果来展现这些算法对图像质量指标方面的计算要求执行的影响。66215

毕业论文关键词：  DFT，插值，滤波，采样，缩放

毕业设计说明书（论文）外文摘要

Title  Image Interpolation Algorithms of Digital Image Processing           

Abstract

Image interpolation is an important image processing operation applied in perse areas ranging from computer graphics, rendering, editing, medical image reconstruction, to online image viewing. Image interpolation techniques are referred in literature by many terminologies, such as image resizing, image re-sampling, digital zooming, image magnification or enhancement, etc. Basically, an image interpolation algorithm is used to convert an image from one resolution (dimension) to another resolution without lost the visual content in the picture. Image interpolation algorithms can be grouped in two categories, non-adaptive and adaptive. The computational logic of an adaptive image interpolation technique is mostly dependent upon the intrinsic image features and contents of the input image whereas computational logic of a non-adaptive image interpolation technique is fixed irrespective of the input image features. In this paper, we review the progress of both non-adaptive and adaptive image interpolation techniques. We describe the underlying computational foundations of all these algorithms and their implementation techniques. We present some experimental results to show the impact of these algorithms in terms of image quality metrics and computational requirements for implementation. 

Keywords : DWT, interpolation, filtering, sampling, scaling.

目录

1 绪论 5

1.1图像的基本概念 5

1.2      数字图像处理简介 5

1.3插值算法简介 6

2数字图像的放大 8

2.1灰度图 8

2.2彩色图像 8

2.3图像的格式 8

2.4图像放大 9

3 非自适应的插值算法 11

3.1最邻近插值 11

3.2双线性插值 11

3.3立方卷积插值 12

3.4  多项式插值 13

3.4.1拉格朗日插值多项式 14

3.4.2牛顿多项式 14

3.5 B-样条插值 15

4 自适应插值算法 17

4.1 自适应插值算法简介 17