2 Discrete Anamorphic Transform for Ima

Powerful Essays
IEEE SIGNAL PROCESSING LETTERS, VOL. 21, NO. 7, JULY 2014

829

Discrete Anamorphic Transform for Image Compression
Mohammad H. Asghari, Member, IEEE, and Bahram Jalali, Fellow, IEEE

Abstract—To deal with the exponential increase of digital data, new compression technologies are needed for more efficient representation of information. We introduce a physics-based transform that enables image compression by increasing the spatial coherency. We also present the Stretched Modulation Distribution, a new density function that provides the recipe for the proposed image compression. Experimental results show pre-compression using our method can improve the performance of JPEG 2000 format. Index Terms—Anamorphic transform, diffractive data compression, dispersive data compression, image compression, physics based data compression, space-bandwidth engineering, warped stretch transform.

I. INTRODUCTION

I

MAGE compression leading to efficient representation of information is critical for dealing with the storage and transmission of high resolution images and videos that dominate the internet traffic. JPEG [1] and JPEG 2000 [2] are the most commonly used methods for image compression. To reduce the data size, JPEG and JPEG 2000 use frequency decomposition via the discrete cosine transform (DCT) [1] or wavelet transform [2] as well as the frequency dependence of the human psychovisual perception. In this letter, we introduce the Discrete Anamorphic Stretch
Transform (DAST) and its application to image compression.
DAST is a physics-inspired transformation that emulates diffraction of the image through a physical medium with specific nonlinear dispersive property. By performing space-bandwidth compression, it reduces the data size required to represent the image for a given image quality. This diffraction-based compression is achieved through a mathematical restructuring of the image and not through modification of the sampling process as in compressive sensing (CS) [3]–[7].



References: [1] W. B. Pennebaker and J. L. Mitchell, JPEG still image data compression standard, 3rd ed. Berlin, Germany: Springer, 1993. pp. 36–58, 2001. [3] E. J. Candes and M. B. Wakin, “An introduction to compressive sampling,” IEEE Signal Process. Mag., vol. 25, pp. 21–30, 2008. 24, pp. 118–121, 2007. vol. 58, pp. 1182–1195, 2007. pp. 4457–471, 2008. 299–301, 1971. Technol., vol. 10, pp. 1364–1373, 2000. 1249–1292, 1969. 874–885, 1998. 6735–6743, 2013. 24–31, 2014. pp. 1–4, 2014. IEEE Trans. Image Process., vol. 13, pp. 600–612, 2004.

You May Also Find These Documents Helpful

  • Better Essays

    The Discrete Cosine Transform (DCT): Theory and Application 1 Syed Ali Khayam Department of Electrical & Computer Engineering Michigan State University March 10th 2003 1 This document is intended to be tutorial in nature. No prior knowledge of image processing concepts is assumed. Interested readers should follow the references for advanced material on DCT. ECE 802 – 602: Information Theory and Coding Seminar 1 – The Discrete Cosine Transform: Theory and Application 1. Introduction…

    • 5443 Words
    • 22 Pages
    Better Essays
  • Better Essays

    Discrete Cosine Transform

    • 6299 Words
    • 26 Pages

    SIAM REVIEW Vol. 41, No. 1, pp. 135–147 c 1999 Society for Industrial and Applied Mathematics The Discrete Cosine Transform∗ Gilbert Strang† Abstract. Each discrete cosine transform (DCT) uses N real basis vectors whose components are π cosines. In the DCT-4, for example, the jth component of vk is cos(j + 1 )(k + 1 ) N . These 2 2 basis vectors are orthogonal and the transform is extremely useful in image processing. If the vector x gives the intensities along a row of pixels, its cosine…

    • 6299 Words
    • 26 Pages
    Better Essays
  • Good Essays

    Discrete wavelet transform 2 Others Other forms of discrete wavelet transform include the non- or undecimated wavelet transform (where downsampling is omitted), the Newland transform (where an orthonormal basis of wavelets is formed from appropriately constructed top-hat filters in frequency space). Wavelet packet transforms are also related to the discrete wavelet transform. Complex wavelet transform is another form. Properties The Haar DWT illustrates the desirable properties of wavelets…

    • 1342 Words
    • 6 Pages
    Good Essays
  • Satisfactory Essays

    Discrete Mathmatics IP 2

    • 259 Words
    • 3 Pages

    Steven Knox Ip 2 –Discrete Math Part 1 f Ordered Pairs D=Domain Q=Range Is this relationship a Fuction? This is a function because is mainly a one to one relationship between football team and Quarter Back. However it wouldn’t be a function if the Quarter Backs were the Domain. It exist as a function because of the simple relationship 1 to 1 (x, y) or ( 1 , a ). Reversing…

    • 259 Words
    • 3 Pages
    Satisfactory Essays
  • Better Essays

    Ima Experience

    • 1380 Words
    • 6 Pages

    Korey Rogan 4/22/13 Art Appreciation IMA Project Write-up As I entered the Indianapolis Museum of Art I was amazed by the installation art in the main area. The first thing you see when you walk in pass the glass doors is Spencer Finch’s installation art, Following Nature, dangling from the ceiling. The work is so beautiful because it’s a thin piece of glass hanging from a string reflecting light from all different angles. And with the glass windows on the building having colorful, the…

    • 1380 Words
    • 6 Pages
    Better Essays
  • Satisfactory Essays

    Ima Ethical Standards

    • 555 Words
    • 3 Pages

    STATEMENT OF ETHICAL PROFESSIONAL PRACTICE IMA STATEMENT OF ETHICAL PROFESSIONAL PRACTICE Members of IMA shall behave ethically. A commitment to ethical professional practice includes: overarching principles that express our values, and standards that guide our conduct. PRINCIPLES IMA's overarching ethical principles include: Honesty, Fairness, Objectivity, and Responsibility. Members shall act in accordance with these principles and shall encourage others within their organizations to adhere…

    • 555 Words
    • 3 Pages
    Satisfactory Essays
  • Powerful Essays

    Discrete Mathematics

    • 1044 Words
    • 5 Pages

    | |Programme |Bachelor of Computer Science (BCS) | |Name of Course / Mode |Discrete Mathematics | |Course Code |CSC 1700 | |Name (s)…

    • 1044 Words
    • 5 Pages
    Powerful Essays
  • Good Essays

    Ima god

    • 535 Words
    • 3 Pages

    Materials: 1. Sheet of paper 2. Meter stick Procedure: 1. Make a paper airplane 2. Throw the airplane and wait until it lands 3. Measure the distance thrown 4. Repeat steps 2 and 3 with the same person using the same amount of force 5. Modify the airplane 6. Repeat steps 2 and 3 with the modified airplane…

    • 535 Words
    • 3 Pages
    Good Essays
  • Better Essays

    Ace Fertilizer Ima

    • 1709 Words
    • 7 Pages

    Ace Fertilizer Company Abby Conroy was tasked with calculating an effective quote for Breeland Ltd., she chose the activity based accounting costing system since it more accurately captures the related costs. A special order was placed by Breeland Ltd. with Ace Fertilizer Company. The did not plan to order more of this product in the future. Based on Ace’s policy, the special order included disposal costs for any used materials in the event no other orders existed for the unused materials…

    • 1709 Words
    • 7 Pages
    Better Essays
  • Satisfactory Essays

    Advanced Transforms

    • 814 Words
    • 4 Pages

    Advanced Transform Methods | | Arsal Javid | 12/1/2011 | [Type the abstract of the document here. The abstract is typically a short summary of the contents of the document. Type the abstract of the document here. The abstract is typically a short summary of the contents of the document.] | Section 2: The following code was used to calculate perform the DFT Function in Matlab: function sw = dft(st) % DFT - Discrete Fourier Transform M = length(st); N = M; WN = exp(2*pi*j/N);…

    • 814 Words
    • 4 Pages
    Satisfactory Essays