Fractal Top for Contractive and Non-Contractive Transformations
Barnsley (2006) introduced the notion of a fractal top, which is an addressing function for the set attractor of an Iterated Function System (IFS). A fractal top is analogous to a set attractor as it is the fixed point of a contractive transformation. However, the definition of IFS is extended so th...
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| Autor*in: |
Jain, Sarika [verfasserIn] Singh, S. L. [author] Mishra, S. N. [author] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
Iterated Function System (IFS) |
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| Umfang: |
Online-Ressource |
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| Reproduktion: |
IGI Global InfoSci Journals Archive 2000 - 2012 |
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| Übergeordnetes Werk: |
In: International journal of artificial life research - Hershey, Pa : IGI Global, 2010, 3(2012), 4, Seite 49-65 |
| Übergeordnetes Werk: |
volume:3 ; year:2012 ; number:4 ; pages:49-65 |
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| DOI / URN: |
10.4018/ijalr.2012100104 |
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| 520 | |a Barnsley (2006) introduced the notion of a fractal top, which is an addressing function for the set attractor of an Iterated Function System (IFS). A fractal top is analogous to a set attractor as it is the fixed point of a contractive transformation. However, the definition of IFS is extended so that it works on the colour component as well as the spatial part of a picture. They can be used to colour-render pictures produced by fractal top and stealing colours from a natural picture. Barnsley has used the one-step feed- back process to compute the fractal top. In this paper, the authors introduce a two-step feedback process to compute fractal top for contractive and non-contractive transformations | ||
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10.4018/ijalr.2012100104 doi (DE-627)NLEJ244445281 (VZGNL)10.4018/ijalr.2012100104 DE-627 ger DE-627 rakwb eng Jain, Sarika verfasserin aut Fractal Top for Contractive and Non-Contractive Transformations 2012 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Barnsley (2006) introduced the notion of a fractal top, which is an addressing function for the set attractor of an Iterated Function System (IFS). A fractal top is analogous to a set attractor as it is the fixed point of a contractive transformation. However, the definition of IFS is extended so that it works on the colour component as well as the spatial part of a picture. They can be used to colour-render pictures produced by fractal top and stealing colours from a natural picture. Barnsley has used the one-step feed- back process to compute the fractal top. In this paper, the authors introduce a two-step feedback process to compute fractal top for contractive and non-contractive transformations IGI Global InfoSci Journals Archive 2000 - 2012 Colour Stealing Contractive Transformation Fixed Point Fractal Top Hénon Transformation Iterated Function System (IFS) Non-Contractive Transformation Non-Expansive Transformation Singh, S. L. author aut Mishra, S. N. author aut In International journal of artificial life research Hershey, Pa : IGI Global, 2010 3(2012), 4, Seite 49-65 Online-Ressource (DE-627)NLEJ244418608 (DE-600)2696257-3 1947-3079 nnns volume:3 year:2012 number:4 pages:49-65 http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/ijalr.2012100104 X:IGIG Verlag Deutschlandweit zugänglich http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/ijalr.2012100104&buylink=true text/html Abstract Deutschlandweit zugänglich ZDB-1-GIS GBV_NL_ARTICLE AR 3 2012 4 49-65 |
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10.4018/ijalr.2012100104 doi (DE-627)NLEJ244445281 (VZGNL)10.4018/ijalr.2012100104 DE-627 ger DE-627 rakwb eng Jain, Sarika verfasserin aut Fractal Top for Contractive and Non-Contractive Transformations 2012 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Barnsley (2006) introduced the notion of a fractal top, which is an addressing function for the set attractor of an Iterated Function System (IFS). A fractal top is analogous to a set attractor as it is the fixed point of a contractive transformation. However, the definition of IFS is extended so that it works on the colour component as well as the spatial part of a picture. They can be used to colour-render pictures produced by fractal top and stealing colours from a natural picture. Barnsley has used the one-step feed- back process to compute the fractal top. In this paper, the authors introduce a two-step feedback process to compute fractal top for contractive and non-contractive transformations IGI Global InfoSci Journals Archive 2000 - 2012 Colour Stealing Contractive Transformation Fixed Point Fractal Top Hénon Transformation Iterated Function System (IFS) Non-Contractive Transformation Non-Expansive Transformation Singh, S. L. author aut Mishra, S. N. author aut In International journal of artificial life research Hershey, Pa : IGI Global, 2010 3(2012), 4, Seite 49-65 Online-Ressource (DE-627)NLEJ244418608 (DE-600)2696257-3 1947-3079 nnns volume:3 year:2012 number:4 pages:49-65 http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/ijalr.2012100104 X:IGIG Verlag Deutschlandweit zugänglich http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/ijalr.2012100104&buylink=true text/html Abstract Deutschlandweit zugänglich ZDB-1-GIS GBV_NL_ARTICLE AR 3 2012 4 49-65 |
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10.4018/ijalr.2012100104 doi (DE-627)NLEJ244445281 (VZGNL)10.4018/ijalr.2012100104 DE-627 ger DE-627 rakwb eng Jain, Sarika verfasserin aut Fractal Top for Contractive and Non-Contractive Transformations 2012 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Barnsley (2006) introduced the notion of a fractal top, which is an addressing function for the set attractor of an Iterated Function System (IFS). A fractal top is analogous to a set attractor as it is the fixed point of a contractive transformation. However, the definition of IFS is extended so that it works on the colour component as well as the spatial part of a picture. They can be used to colour-render pictures produced by fractal top and stealing colours from a natural picture. Barnsley has used the one-step feed- back process to compute the fractal top. In this paper, the authors introduce a two-step feedback process to compute fractal top for contractive and non-contractive transformations IGI Global InfoSci Journals Archive 2000 - 2012 Colour Stealing Contractive Transformation Fixed Point Fractal Top Hénon Transformation Iterated Function System (IFS) Non-Contractive Transformation Non-Expansive Transformation Singh, S. L. author aut Mishra, S. N. author aut In International journal of artificial life research Hershey, Pa : IGI Global, 2010 3(2012), 4, Seite 49-65 Online-Ressource (DE-627)NLEJ244418608 (DE-600)2696257-3 1947-3079 nnns volume:3 year:2012 number:4 pages:49-65 http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/ijalr.2012100104 X:IGIG Verlag Deutschlandweit zugänglich http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/ijalr.2012100104&buylink=true text/html Abstract Deutschlandweit zugänglich ZDB-1-GIS GBV_NL_ARTICLE AR 3 2012 4 49-65 |
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Barnsley (2006) introduced the notion of a fractal top, which is an addressing function for the set attractor of an Iterated Function System (IFS). A fractal top is analogous to a set attractor as it is the fixed point of a contractive transformation. However, the definition of IFS is extended so that it works on the colour component as well as the spatial part of a picture. They can be used to colour-render pictures produced by fractal top and stealing colours from a natural picture. Barnsley has used the one-step feed- back process to compute the fractal top. In this paper, the authors introduce a two-step feedback process to compute fractal top for contractive and non-contractive transformations |
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Barnsley (2006) introduced the notion of a fractal top, which is an addressing function for the set attractor of an Iterated Function System (IFS). A fractal top is analogous to a set attractor as it is the fixed point of a contractive transformation. However, the definition of IFS is extended so that it works on the colour component as well as the spatial part of a picture. They can be used to colour-render pictures produced by fractal top and stealing colours from a natural picture. Barnsley has used the one-step feed- back process to compute the fractal top. In this paper, the authors introduce a two-step feedback process to compute fractal top for contractive and non-contractive transformations |
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Barnsley (2006) introduced the notion of a fractal top, which is an addressing function for the set attractor of an Iterated Function System (IFS). A fractal top is analogous to a set attractor as it is the fixed point of a contractive transformation. However, the definition of IFS is extended so that it works on the colour component as well as the spatial part of a picture. They can be used to colour-render pictures produced by fractal top and stealing colours from a natural picture. Barnsley has used the one-step feed- back process to compute the fractal top. In this paper, the authors introduce a two-step feedback process to compute fractal top for contractive and non-contractive transformations |
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