Regular Articles

Enlargement and reduction of image/video via discrete cosine transform pair, part 1: novel three-dimensional discrete cosine transform and enlargement

[+] Author Affiliations
Shu-Mei Guo

National Cheng Kung University, Department of Computer Science and Information Engineering, Tainan, Taiwan

Chen-Bang Li

National Cheng Kung University, Department of Computer Science and Information Engineering, Tainan, Taiwan

Chia-Wei Chen

Kao Yuan University, Department of Mechanical and Automation Engineering, Lujhu Township, Kaohsiung, Taiwan

Yueh-Ching Liao

National Cheng Kung University, Department of Computer Science and Information Engineering, Tainan, Taiwan

Jason Sheng-Hong Tsai

National Cheng Kung University, Department of Electric Engineering, Tainan, Taiwan

J. Electron. Imaging. 16(4), 043006 (December 03, 2007). doi:10.1117/1.2804710
History: Received October 02, 2006; Revised April 18, 2007; Accepted May 31, 2007; Published December 03, 2007
Text Size: A A A

We propose novel matrix-form representations of the conventional forward three-dimensional (3-D) discrete cosine transform (DCT) and the inverse 3-D DCT. The pair of the computationally efficient 3-D DCTs causes the formulation to be more concise with a systematic structure, which has a high potential for the development of other applications via the 3-D DCT pair. Applications for enlargement of image/video implemented by the DCT pair are also presented. These new algorithms effectively eliminate ripple and blocky effects and maintain the original characteristic. Moreover, due to the essentially even-function property of the DCT, the proposed enlargement of an image demonstrates the desired symmetric property. As a result, they can also find numerous applications in image processing and video coding. Simulation results show that proposed mechanisms enable good performance for scaling algorithms of sequences, images, and videos, as expected.

Figures in this Article
© 2007 SPIE and IS&T

Topics

Matrices ; Video

Citation

Shu-Mei Guo ; Chen-Bang Li ; Chia-Wei Chen ; Yueh-Ching Liao and Jason Sheng-Hong Tsai
"Enlargement and reduction of image/video via discrete cosine transform pair, part 1: novel three-dimensional discrete cosine transform and enlargement", J. Electron. Imaging. 16(4), 043006 (December 03, 2007). ; http://dx.doi.org/10.1117/1.2804710


Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging & repositioning the boxes below.

Related Book Chapters

Topic Collections

PubMed Articles
Advertisement
  • Don't have an account?
  • Subscribe to the SPIE Digital Library
  • Create a FREE account to sign up for Digital Library content alerts and gain access to institutional subscriptions remotely.
Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).
Access This Proceeding
Sign in or Create a personal account to Buy this article ($15 for members, $18 for non-members).
Access This Chapter

Access to SPIE eBooks is limited to subscribing institutions and is not available as part of a personal subscription. Print or electronic versions of individual SPIE books may be purchased via SPIE.org.