國立臺灣大學電機工程學系暨研究所貝蘇章2006-08-232018-07-062006-08-232018-07-062005-04-30http://ntur.lib.ntu.edu.tw//handle/246246/29485本研究提出一任意尺寸大小的矩陣(Scaling matrices)，可以對數位影像做任意放大、縮小、變形、及 內插，並可導出二度空間不均勻完美重建數位濾波器組， 提供影像壓縮及傳輸方面的應用。In this paper, we propose a new method to realize an irrational scaling of a 2D digital signal/image. This method is suitable for any scaling matrices with real entries, including irrational numbers. Based on this algorithm, a new structure of a 2D four-channel non-uniform perfect reconstruction filter bank is derived. Through the proposed structure, it is now possible to segment the 2D frequency components of a 2D digital signal/image arbitrarily through a careful design of the scaling matrix while still preserving the PR property. Therefore, we can find many applications such as image compression and communication using this structure. The experimental results are presented at the end of this paper.application/pdf1304164 bytesapplication/pdfzh-TW國立臺灣大學電機工程學系暨研究所irrational scalinginterpolationdecimation2D nonuniform filter bankperfect reconstructionreporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/29485/1/932622E002013CC3.pdf