图像采样定理和几何变换教学内容探析  

Analysis of Image Sampling Theorem and Geometric Transformation

作　　者：巢海远 肖青云 CHAO Haiyuan;XIAO Qingyun(School of Computer Engineering,Jiangsu Institute of Technology,Changzhou 213002,China;Human Resources Office,Changzhou Vocational Institute of Industry Technology,Changzhou 213002,China)

机构地区：[1]江苏理工学院计算机工程学院,常州213001 [2]常州工业职业技术学院人事处,常州213001

出　　处：《电气电子教学学报》2023年第5期161-164,共4页Journal of Electrical and Electronic Education

基　　金：2021年江苏理工学院教学改革与研究立项项目(11610312123)。

摘　　要：图像采样定理和图像几何变换是“数字图像处理”课程教学的重要知识点。但是由于知识断层和课时限制,学生对于采样定理和几何变换有关的数学原理和知识逻辑理解不透。为避免学生学习上的困惑,一是详细分析证明了图像信号的采样定理,二是由浅入深逐步分析证明了几何变换的分解性。Image sampling theorem and image geometric transformation are important knowledge points in the teaching of digital Image Processing.However,due to the knowledge gap and the limitation of class hours,students have a poor understanding of mathematical principles and knowledge logic related to sampling theorem and geometric transformation.In order to avoid learning confusion,one measure we have taken is to analyze and prove the image sampling theorem,and the other is to analyze and prove the decomposability of geometric transformation step by step.

关 键 词：数字图像处理 采样定理 几何变换 

分 类 号：TP391[自动化与计算机技术—计算机应用技术] G642.4[自动化与计算机技术—计算机科学与技术]