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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 貝蘇章(Soo-chang Pei) | |
| dc.contributor.author | Shu-Ping Hu | en |
| dc.contributor.author | 胡書萍 | zh_TW |
| dc.date.accessioned | 2021-06-14T17:20:07Z | - |
| dc.date.available | 2008-07-30 | |
| dc.date.copyright | 2008-07-30 | |
| dc.date.issued | 2008 | |
| dc.date.submitted | 2008-07-24 | |
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[17] Yoshinori Abe and Youji Jiguni, “Fast computation of RBF coefficients for regularly sampled inputs” Electronics Letters 39 (2003) 543-544 [18] Yoshinori Abe and Youji Jiguni,, “Fast computation of RBF coefficients using FFT”, Signal Processing 86 (2006) 3264–3274 [19] Yoshinori Abe and Youji Jiguni, “Interpolation capability of the periodic radial basis function”, Division of Systems Science and Applied Informatics, Dept. of Systems Innovation Osaka University Toyonaka, Japan [20] Youngjoon Cha and Seongjai Kim, The Error-Amended Sharp Edge (EASE) Scheme for Image Zooming , IEEE Trans. Image Processing vol. 16,No 6 pp 1496-1505 June 2007 [21] 梁勝富、陳宏鳴、王敘全, “A spatial and directional Hybrid Approach for Image Interpolation ”, 影像與識別 vol.13 ,No.3 pp.34-45 2007 [22] Friehelm Schwenker, Hans A. 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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/41149 | - |
| dc.description.abstract | 影像內插是將一張低解析度的影像轉為一個高解析度影像的過程，影像內插法在數位信號處理的領域中非常重要因為它的應用相當廣泛。
在這篇論文中，介紹了三種影像內插演算法。第一種是利用快速傅利業轉換來近似輻射基底函數的係數來內插影像，假如運用傳統方法來計算輻射基底函數的係數且輸入資料的數量為 ，會花費 計算時間，但利用快速傅利業轉換的方法來近似係數只需花費 。 第二種介紹的內插演算法是一種混合的邊緣方向的內插法。這個方法是依據低解析度影像及對應的高解析度影像的變異數之間有幾何的對偶性關係。為了節省時間花費及使得內插影像的邊緣清晰，這個演算法合併了以變異數為基礎的內插演算法以及雙線性內插演算法。 抵抗錯誤銳利邊緣模型是一種變形的雙線性內插法，這種方法依據經典的內插錯誤理論來解決鋸齒及棋盤效應。 | zh_TW |
| dc.description.abstract | Image interpolation concerns image resolution conversion that generates a high-resolution image from its given low-resolution image and has been an important issue in the digital of digital signal processing, since its applications are widespread.
In this thesis, three interpolation algorithms are introduced. The algorithm interpolates images with the coefficients of the radial basis function (RBF) network and on the other hand, the fast computation of the RBF coefficients by using fast Fourier transform (FFT) is proposed. Computing coefficients of RBF network with this algorithm only cost computation time when the number of data is . The second interpolation algorithm is a hybrid edge-directed image interpolation algorithm. This algorithm is based on the geometric duality between the covariance of given low-resolution image and the covariance of the high-resolution result image. For computation complexity and the clarity of the edge regions, this algorithm combines bilinear interpolation and covariance-based interpolation. The error-amended sharp edge (EASE) scheme is an adapted bilinear method. EASE scheme solve the jagging and checkerboard effect according to the interpolation error theorem and the Sobel derivatives are utilized in the adapted bilinear interpolation model. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-14T17:20:07Z (GMT). No. of bitstreams: 1 ntu-97-R95942035-1.pdf: 1727287 bytes, checksum: 84f6838359a6dcb70abcb747ec3c0825 (MD5) Previous issue date: 2008 | en |
| dc.description.tableofcontents | 口試委員會審定書
誌謝 ii 中文摘要 iv ABSTRACT vi Chapter 1 Introduction 2 Chapter 2 Fast Computing of Radial Basis Function Coefficients by using FFT 6 2.1 Introduction 6 2.2 Radial Basis Function Network 8 2.3 Direct Computation of RBF Coefficients 10 2.4 Fast Computation of RBF Coefficients by using FFT 11 2.4.1 Definition of the Periodic RBF Network 11 2.4.2 Transformation of Periodic RBF Coefficient to Conventional RBF Coefficient 13 2.5 Frequency Analysis of Periodic RBF network 17 2.6 Interpolating one-dimensional data by Fast Computation of Radial Basis Function coefficients by Using FFT 19 2.6.1 Error Analysis of approximation to one-dimensional data by Fast Computation of Radial Basis Function Coefficients 22 2.7 Interpolating Two-dimensional Data by Fast Computation of Radial Basis Function coefficients by Using FFT 27 2.7.1 Experiment of two-dimension signal 27 2.7.2 Error Analysis of approximation to two-dimensional data by the Fast Computation of Radial Basis Function Coefficients 33 2.8 Conclusion 35 Chapter 3 Edge-adaptive Interpolation Algorithm 38 3.1 Introduction 38 3.2 Non – adaptive Interpolation Algorithms 39 3.2.1 Nearest Neighbor Interpolation 39 3.2.2 Bilinear Interpolation and Bicubic Interpolation 40 3.3 Edge-directed Interpolation 43 3.3.1 Introduction of Edge-directed Interpolation 43 3.3.2 Edge-directed Interpolation Model 44 3.3.3 Simulations of Edge-directed Interpolation 47 3.4 Error-amended Sharp Edge (EASE) Scheme for Image Zooming 50 3.4.1 Interpolation Error Theorem 50 3.4.2 EASE Model for One-Dimensional Signal 52 3.4.3 EASE Model for Two-Dimensional Images 55 3.4.4 Simulations of EASE model Interpolation 58 3.5 Conclusion 62 Chapter 4 Summary, Conclusion and Future Work 64 4.1 Summary and Conclusion 64 4.2 Future Work 68 Appendix A Derivation of sufficient condition (2.34)………………………...……...70 Appendix B. Derivation of sufficient condition (2.45)…………………………..….….72 REFERENCE 74 | |
| dc.language.iso | en | |
| dc.title | 數位影像內插放大:運用輻射基底函數及邊緣適應性演算法 | zh_TW |
| dc.title | Digital Image Interpolation: Applying Radial Basis Function and Edge-Adaptive Algorithm | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 96-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 杭學鳴,黃文良,郭景明 | |
| dc.subject.keyword | 影像內插,輻射基底函數,邊緣適應性演算法, | zh_TW |
| dc.subject.keyword | Image interpolation,Radial basis function,Edge-Adaptive Algorithm, | en |
| dc.relation.page | 78 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2008-07-27 | |
| dc.contributor.author-college | 電機資訊學院 | zh_TW |
| dc.contributor.author-dept | 電信工程學研究所 | zh_TW |
| 顯示於系所單位： | 電信工程學研究所 | |
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