Wavelet compression through Wavelet Stieltjes transform

Mo Hong Chou; En Bing Lin

doi:10.1117/12.162069

Wavelet compression through Wavelet Stieltjes transform

Mo Hong Chou, En Bing Lin

Mathematics

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

A new wavelet transform is introduced for analyzing image compression and signal processing. We introduce Wavelet Stieltjes transform (WST) which provides a unified framework to analyze both continuous and discrete signals. Some properties of WST are summarized. Moreover, we obtain multiresolution analysis and encode WST coefficients for Wavelet Stieltjes transform. It is shown that one can distinguish images or signals by Wavelet Stieltjes transform methods while they are not discriminated by regular wavelet transform. Theory for regular wavelet transform may be extended to Wavelet Stieltjes transform.

Original language	English
Pages (from-to)	254-264
Number of pages	11
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	2034
DOIs	https://doi.org/10.1117/12.162069
State	Published - Nov 1 1993
Event	Mathematical Imaging: Wavelet Applications in Signal and Image Processing 1993 - San Diego, United States Duration: Jul 11 1993 → Jul 16 1993

Access to Document

10.1117/12.162069

Cite this

@article{10193a874fd44a1b8da2dc5c784bee3a,

title = "Wavelet compression through Wavelet Stieltjes transform",

abstract = "A new wavelet transform is introduced for analyzing image compression and signal processing. We introduce Wavelet Stieltjes transform (WST) which provides a unified framework to analyze both continuous and discrete signals. Some properties of WST are summarized. Moreover, we obtain multiresolution analysis and encode WST coefficients for Wavelet Stieltjes transform. It is shown that one can distinguish images or signals by Wavelet Stieltjes transform methods while they are not discriminated by regular wavelet transform. Theory for regular wavelet transform may be extended to Wavelet Stieltjes transform.",

author = "Chou, {Mo Hong} and Lin, {En Bing}",

note = "Publisher Copyright: {\textcopyright} 1993 SPIE. All rights reserved.; Mathematical Imaging: Wavelet Applications in Signal and Image Processing 1993 ; Conference date: 11-07-1993 Through 16-07-1993",

year = "1993",

month = nov,

day = "1",

doi = "10.1117/12.162069",

language = "English",

volume = "2034",

pages = "254--264",

journal = "Proceedings of SPIE - The International Society for Optical Engineering",

issn = "0277-786X",

}

TY - JOUR

T1 - Wavelet compression through Wavelet Stieltjes transform

AU - Chou, Mo Hong

AU - Lin, En Bing

PY - 1993/11/1

Y1 - 1993/11/1

N2 - A new wavelet transform is introduced for analyzing image compression and signal processing. We introduce Wavelet Stieltjes transform (WST) which provides a unified framework to analyze both continuous and discrete signals. Some properties of WST are summarized. Moreover, we obtain multiresolution analysis and encode WST coefficients for Wavelet Stieltjes transform. It is shown that one can distinguish images or signals by Wavelet Stieltjes transform methods while they are not discriminated by regular wavelet transform. Theory for regular wavelet transform may be extended to Wavelet Stieltjes transform.

AB - A new wavelet transform is introduced for analyzing image compression and signal processing. We introduce Wavelet Stieltjes transform (WST) which provides a unified framework to analyze both continuous and discrete signals. Some properties of WST are summarized. Moreover, we obtain multiresolution analysis and encode WST coefficients for Wavelet Stieltjes transform. It is shown that one can distinguish images or signals by Wavelet Stieltjes transform methods while they are not discriminated by regular wavelet transform. Theory for regular wavelet transform may be extended to Wavelet Stieltjes transform.

UR - http://www.scopus.com/inward/record.url?scp=85075878850&partnerID=8YFLogxK

U2 - 10.1117/12.162069

DO - 10.1117/12.162069

M3 - Conference article

AN - SCOPUS:85075878850

SN - 0277-786X

VL - 2034

SP - 254

EP - 264

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - Mathematical Imaging: Wavelet Applications in Signal and Image Processing 1993

Y2 - 11 July 1993 through 16 July 1993

ER -

Wavelet compression through Wavelet Stieltjes transform

Abstract

Access to Document

Other files and links

Fingerprint

Cite this