Generalized square isometries — An improvement for fractal image coding

Dan C. Popescu; Alex Dimca; Hong Yan

doi:10.1007/3-540-60298-4_325

Generalized square isometries — An improvement for fractal image coding

Dan C. Popescu
, Alex Dimca
, Hong Yan

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

Most recent advances in fractal image coding have been concentrating on better adaptive coding algorithms, on extending the variety of the blocks and on search strategies to reduce the encoding time. Very little has been done to challenge the linear model of the fractal transformations used so far in practical applications. In this paper we explain why effective non-linear transformations are not easy to find and propose a model based on conformai mappings in the geometric domain that are a natural extension of the affine model. Our compression results show improvements over the linear model and support the hope that a deeper understanding of the notion of self-similarity would further advance fractal image coding. © Springer-Verlag GmbH Germany, part of Springer Nature 1995

Original language	English
Title of host publication	Image Analysis and Processing
Subtitle of host publication	8th International Conference, ICIAP '95, San Remo, Italy, September 13 - 15, 1995. Proceedings
Editors	Carlo Braccini, Leila DeFloriani, Gianni Vernazza
Place of Publication	Berlin, Heidelberg
Publisher	Springer
Pages	637-642
ISBN (Electronic)	978-3-540-44787-0
ISBN (Print)	9783540602989
DOIs	https://doi.org/10.1007/3-540-60298-4_325
Publication status	Published - 1995
Externally published	Yes
Event	8th International Conference on Image Analysis and Processing (ICIAP 1995) - San Remo, Italy Duration: 13 Sept 1995 → 15 Sept 1995

Publication series

Name	Lecture Notes in Computer Science
Volume	974
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	8th International Conference on Image Analysis and Processing (ICIAP 1995)
Place	Italy
City	San Remo
Period	13/09/95 → 15/09/95

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Popescu, D. C., Dimca, A., & Yan, H. (1995). Generalized square isometries — An improvement for fractal image coding. In C. Braccini, L. DeFloriani, & G. Vernazza (Eds.), Image Analysis and Processing: 8th International Conference, ICIAP '95, San Remo, Italy, September 13 - 15, 1995. Proceedings (pp. 637-642). (Lecture Notes in Computer Science; Vol. 974). Springer . https://doi.org/10.1007/3-540-60298-4_325

Popescu, Dan C. ; Dimca, Alex ; Yan, Hong. / Generalized square isometries — An improvement for fractal image coding. Image Analysis and Processing: 8th International Conference, ICIAP '95, San Remo, Italy, September 13 - 15, 1995. Proceedings. editor / Carlo Braccini ; Leila DeFloriani ; Gianni Vernazza. Berlin, Heidelberg : Springer , 1995. pp. 637-642 (Lecture Notes in Computer Science).

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title = "Generalized square isometries — An improvement for fractal image coding",

abstract = "Most recent advances in fractal image coding have been concentrating on better adaptive coding algorithms, on extending the variety of the blocks and on search strategies to reduce the encoding time. Very little has been done to challenge the linear model of the fractal transformations used so far in practical applications. In this paper we explain why effective non-linear transformations are not easy to find and propose a model based on conformai mappings in the geometric domain that are a natural extension of the affine model. Our compression results show improvements over the linear model and support the hope that a deeper understanding of the notion of self-similarity would further advance fractal image coding. {\textcopyright} Springer-Verlag GmbH Germany, part of Springer Nature 1995",

author = "Popescu, \{Dan C.\} and Alex Dimca and Hong Yan",

year = "1995",

doi = "10.1007/3-540-60298-4\_325",

language = "English",

isbn = "9783540602989",

series = "Lecture Notes in Computer Science",

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pages = "637--642",

editor = "Carlo Braccini and Leila DeFloriani and Gianni Vernazza",

booktitle = "Image Analysis and Processing",

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Popescu, DC, Dimca, A & Yan, H 1995, Generalized square isometries — An improvement for fractal image coding. in C Braccini, L DeFloriani & G Vernazza (eds), Image Analysis and Processing: 8th International Conference, ICIAP '95, San Remo, Italy, September 13 - 15, 1995. Proceedings. Lecture Notes in Computer Science, vol. 974, Springer , Berlin, Heidelberg, pp. 637-642, 8th International Conference on Image Analysis and Processing (ICIAP 1995), San Remo, Italy, 13/09/95. https://doi.org/10.1007/3-540-60298-4_325

Generalized square isometries — An improvement for fractal image coding. / Popescu, Dan C.; Dimca, Alex; Yan, Hong.
Image Analysis and Processing: 8th International Conference, ICIAP '95, San Remo, Italy, September 13 - 15, 1995. Proceedings. ed. / Carlo Braccini; Leila DeFloriani; Gianni Vernazza. Berlin, Heidelberg: Springer , 1995. p. 637-642 (Lecture Notes in Computer Science; Vol. 974).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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N2 - Most recent advances in fractal image coding have been concentrating on better adaptive coding algorithms, on extending the variety of the blocks and on search strategies to reduce the encoding time. Very little has been done to challenge the linear model of the fractal transformations used so far in practical applications. In this paper we explain why effective non-linear transformations are not easy to find and propose a model based on conformai mappings in the geometric domain that are a natural extension of the affine model. Our compression results show improvements over the linear model and support the hope that a deeper understanding of the notion of self-similarity would further advance fractal image coding. © Springer-Verlag GmbH Germany, part of Springer Nature 1995

AB - Most recent advances in fractal image coding have been concentrating on better adaptive coding algorithms, on extending the variety of the blocks and on search strategies to reduce the encoding time. Very little has been done to challenge the linear model of the fractal transformations used so far in practical applications. In this paper we explain why effective non-linear transformations are not easy to find and propose a model based on conformai mappings in the geometric domain that are a natural extension of the affine model. Our compression results show improvements over the linear model and support the hope that a deeper understanding of the notion of self-similarity would further advance fractal image coding. © Springer-Verlag GmbH Germany, part of Springer Nature 1995

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U2 - 10.1007/3-540-60298-4_325

DO - 10.1007/3-540-60298-4_325

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9783540602989

T3 - Lecture Notes in Computer Science

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EP - 642

BT - Image Analysis and Processing

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A2 - DeFloriani, Leila

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Popescu DC, Dimca A, Yan H. Generalized square isometries — An improvement for fractal image coding. In Braccini C, DeFloriani L, Vernazza G, editors, Image Analysis and Processing: 8th International Conference, ICIAP '95, San Remo, Italy, September 13 - 15, 1995. Proceedings. Berlin, Heidelberg: Springer . 1995. p. 637-642. (Lecture Notes in Computer Science). doi: 10.1007/3-540-60298-4_325

Generalized square isometries — An improvement for fractal image coding

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