Digital Image Compression by Outer Product Expansion

Dianne P. O'LEARY; Shmuel Peleg

doi:10.1109/TCOM.1983.1095823

Digital Image Compression by Outer Product Expansion

Dianne P. O'LEARY, Shmuel Peleg

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

67 Scopus citations

Abstract

We approximate a digital image as a sum of outer products dxy^T where d is a real number but the vectors x and y have elements +1, –1, or 0 only. The expansion gives a least squares approximation. Work is proportional to the number of pixels; reconstruction involves only additions.

Original language	English
Pages (from-to)	441-444
Number of pages	4
Journal	IEEE Transactions on Communications
Volume	31
Issue number	3
DOIs	https://doi.org/10.1109/TCOM.1983.1095823
State	Published - Mar 1983

Access to Document

10.1109/TCOM.1983.1095823

Cite this

@article{2d9939f68ba245d2972df951c91f3e1c,

title = "Digital Image Compression by Outer Product Expansion",

abstract = "We approximate a digital image as a sum of outer products dxyT where d is a real number but the vectors x and y have elements +1, –1, or 0 only. The expansion gives a least squares approximation. Work is proportional to the number of pixels; reconstruction involves only additions.",

author = "O'LEARY, \{Dianne P.\} and Shmuel Peleg",

year = "1983",

month = mar,

doi = "10.1109/TCOM.1983.1095823",

language = "אנגלית",

volume = "31",

pages = "441--444",

journal = "IEEE Transactions on Communications",

issn = "0090-6778",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "3",

}

TY - JOUR

T1 - Digital Image Compression by Outer Product Expansion

AU - O'LEARY, Dianne P.

AU - Peleg, Shmuel

PY - 1983/3

Y1 - 1983/3

N2 - We approximate a digital image as a sum of outer products dxyT where d is a real number but the vectors x and y have elements +1, –1, or 0 only. The expansion gives a least squares approximation. Work is proportional to the number of pixels; reconstruction involves only additions.

AB - We approximate a digital image as a sum of outer products dxyT where d is a real number but the vectors x and y have elements +1, –1, or 0 only. The expansion gives a least squares approximation. Work is proportional to the number of pixels; reconstruction involves only additions.

UR - https://www.scopus.com/pages/publications/0020721236

U2 - 10.1109/TCOM.1983.1095823

DO - 10.1109/TCOM.1983.1095823

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0020721236

SN - 0090-6778

VL - 31

SP - 441

EP - 444

JO - IEEE Transactions on Communications

JF - IEEE Transactions on Communications

IS - 3

ER -

Digital Image Compression by Outer Product Expansion

Abstract

Access to Document

Other files and links

Fingerprint

Cite this