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Hokkaido University Collection of Scholarly and Academic Papers >
Hokkaido University Sustainability Weeks >
Sustainability Weeks 2009 >
2009 APSIPA Annual Summit and Conference >
Digital Image Interpolation Method Using Higher-Order Hermite Interpolating Polynomials with Compact Finite-Difference
| Title: | Digital Image Interpolation Method Using Higher-Order Hermite Interpolating Polynomials with Compact Finite-Difference |
| Authors: | Seta, Ryo Browse this author | | Okubo, Kan Browse this author | | Tagawa, Norio Browse this author |
| Issue Date: | 4-Oct-2009 |
| Publisher: | Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference, International Organizing Committee |
| Journal Title: | Proceedings : APSIPA ASC 2009 : Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference |
| Start Page: | 406 |
| End Page: | 409 |
| Abstract: | Image interpolation can be performed by a convolution operation using the neighboring image values. To achieve accurate image interpolation, some of the conventional methods use basis function with large support, and therefore their implementation may have a large computational cost. Interpolation by the Hermite interpolating polynomials can be performed using image values and their derivatives. This makes it possible to realize the high-order interpolation with small support. In this study, we show that, by introducing the basis function of derivatives, interpolation methods by the higher-order Hermite interpolating polynomials can be expressed as a convolution form similarly to the conventional methods. Thus, the higher-order interpolation with small support is obtained as well. Moreover, high accuracy is achieved by using the compact FDs as the calculation method of derivatives. As a result, the efficiency of this method is confirmed, by comparing it with the conventional methods which have the same support. |
| Description: | APSIPA ASC 2009: Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference. 4-7 October 2009. Sapporo, Japan. Poster session: Signal Processing Theory and Methods I (6 October 2009). |
| Conference Name: | APSIPA ASC 2009: Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference | | 2009年アジア太平洋信号情報処理連合学会アニュアルサミット・国際会議 |
| Conference Place: | Sapporo |
| Type: | proceedings |
| URI: | http://hdl.handle.net/2115/39728 |
| Appears in Collections: | 北海道大学サステナビリティ・ウィーク2009 (Sustainability Weeks 2009) > 2009年アジア太平洋信号情報処理連合学会アニュアルサミット・国際会議 (2009 APSIPA Annual Summit and Conference)
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