skip to content
Fractal Modelling : Growth and Form in Biology Preview this item
ClosePreview this item
Checking...

Fractal Modelling : Growth and Form in Biology

Author: Jaap A Kaandorp
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1994.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
New developments in computer science, biology, mathematics and physics offer possibilities to obtain deeper understanding of growth and forms of organisms. It is now possible to carry out simulation experiments in which the growth process can be simulated in virtual computer objects. In this book, methods from fractal geometry are applied to model growth forms. As a case study, a type of growth process is used which  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jaap A Kaandorp
ISBN: 9783642579226 3642579221
OCLC Number: 851840611
Description: 1 online resource (xiii, 208 pages)
Contents: 1 Introduction --
1.1 Structure of the Book --
2 Methods for Modelling Biological Objects --
2.1 Reaction Diffusion Mechanisms --
2.2 Iteration Processes and Fractals --
2.3 Generation of Objects Using Formal Languages --
2.4 Diffusion Limited Aggregation Models --
2.5 Generation of Fractal Objects Using Iterated Function Systems --
2.6 Iterative Geometric Constructions --
2.7 A Review of the Methods --
3 2D Models of Growth Forms --
3.1 Modular Growth --
3.2 Radiate Accretive Growth --
3.3 Growth Forms of Modular Organisms and the Physical Environment --
3.4 Description of the Internal Architecture of the Autotrophic Example: Montastrea annularis --
3.5 Description of the Internal Architecture of the Heterotrophic Example: Haliclona oculata --
3.6 An Iterative Geometric Construction Simulating the Radiate Accretive Growth Process of a Branching Organism --
3.7 A Model of the Physical Environment --
3.8 Conclusions and Restrictions of the 2D Model --
3.9 List of Symbols Used in this Chapter --
4 A Comparison of Forms --
4.1 A Comparison of a Range of Forms --
4.2 An Experimental Verification of the Model --
4.3 Conclusions --
5 3D Models of Growth Forms --
5.1 Constructions in Space, a 3D Modelling System for Iterative Constructions --
5.2 Description of an Organism with Radiate Accretive Growth and a Triangular Tessellation of the Surface --
5.3 Representation of a Triangular Tessellation --
5.4 Representation of a Multi-Layer Triangular Tessellation --
5.5 The Lattice Representation of a Volume Tessellated with Triangles --
5.6 An Iterative Geometric Construction Simulating the Radiate Accretive Growth Process of a Branching Organism --
5.7 Conclusions and Restrictions of the Presented 3D Models --
5.8 List of Symbols Used in Sects. 5.3 to 5.7 --
6 Final Conclusions --
6.1 The 2D and 3D Simulation Models --
6.2 Application of the Simulation Models in Ecology --
References.
Responsibility: by Jaap A. Kaandorp.
More information:

Abstract:

New developments in computer science, biology, mathematics and physics offer possibilities to obtain deeper understanding of growth and forms of organisms. It is now possible to carry out simulation experiments in which the growth process can be simulated in virtual computer objects. In this book, methods from fractal geometry are applied to model growth forms. As a case study, a type of growth process is used which can be found among various taxonomic classes of organisms such as sponges and corals. The growth of these organisms is simulated with 2D and 3D geometrical objects. The models presented in the book provide a rendering method for natural objects which is based on the actual growth process. The models can be used, for example, to understand the amazing variety of forms to be found in a coral reef. Models which mimic the growth of forms and the environmental influence on the growth process are also useful for ecologists. A combination of simulation models and the actual growth forms can be used to detect the effects of slow changes in the environment.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/851840611> # Fractal Modelling : Growth and Form in Biology
    a schema:CreativeWork, schema:Book, schema:MediaObject ;
    library:oclcnum "851840611" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/807782052#Place/berlin_heidelberg> ; # Berlin, Heidelberg
    schema:about <http://dewey.info/class/550/e23/> ;
    schema:about <http://id.worldcat.org/fast/836869> ; # Botany
    schema:about <http://id.worldcat.org/fast/901476> ; # Ecology
    schema:about <http://id.worldcat.org/fast/832406> ; # Biology--Data processing
    schema:about <http://id.loc.gov/authorities/subjects/sh85014206> ; # Biology--Data processing
    schema:about <http://id.worldcat.org/fast/1132103> ; # Statistics
    schema:about <http://id.worldcat.org/fast/940469> ; # Geography
    schema:bookFormat schema:EBook ;
    schema:creator <http://viaf.org/viaf/113707950> ; # Jaap A. Kaandorp
    schema:datePublished "1994" ;
    schema:description "1 Introduction -- 1.1 Structure of the Book -- 2 Methods for Modelling Biological Objects -- 2.1 Reaction Diffusion Mechanisms -- 2.2 Iteration Processes and Fractals -- 2.3 Generation of Objects Using Formal Languages -- 2.4 Diffusion Limited Aggregation Models -- 2.5 Generation of Fractal Objects Using Iterated Function Systems -- 2.6 Iterative Geometric Constructions -- 2.7 A Review of the Methods -- 3 2D Models of Growth Forms -- 3.1 Modular Growth -- 3.2 Radiate Accretive Growth -- 3.3 Growth Forms of Modular Organisms and the Physical Environment -- 3.4 Description of the Internal Architecture of the Autotrophic Example: Montastrea annularis -- 3.5 Description of the Internal Architecture of the Heterotrophic Example: Haliclona oculata -- 3.6 An Iterative Geometric Construction Simulating the Radiate Accretive Growth Process of a Branching Organism -- 3.7 A Model of the Physical Environment -- 3.8 Conclusions and Restrictions of the 2D Model -- 3.9 List of Symbols Used in this Chapter -- 4 A Comparison of Forms -- 4.1 A Comparison of a Range of Forms -- 4.2 An Experimental Verification of the Model -- 4.3 Conclusions -- 5 3D Models of Growth Forms -- 5.1 Constructions in Space, a 3D Modelling System for Iterative Constructions -- 5.2 Description of an Organism with Radiate Accretive Growth and a Triangular Tessellation of the Surface -- 5.3 Representation of a Triangular Tessellation -- 5.4 Representation of a Multi-Layer Triangular Tessellation -- 5.5 The Lattice Representation of a Volume Tessellated with Triangles -- 5.6 An Iterative Geometric Construction Simulating the Radiate Accretive Growth Process of a Branching Organism -- 5.7 Conclusions and Restrictions of the Presented 3D Models -- 5.8 List of Symbols Used in Sects. 5.3 to 5.7 -- 6 Final Conclusions -- 6.1 The 2D and 3D Simulation Models -- 6.2 Application of the Simulation Models in Ecology -- References."@en ;
    schema:description "New developments in computer science, biology, mathematics and physics offer possibilities to obtain deeper understanding of growth and forms of organisms. It is now possible to carry out simulation experiments in which the growth process can be simulated in virtual computer objects. In this book, methods from fractal geometry are applied to model growth forms. As a case study, a type of growth process is used which can be found among various taxonomic classes of organisms such as sponges and corals. The growth of these organisms is simulated with 2D and 3D geometrical objects. The models presented in the book provide a rendering method for natural objects which is based on the actual growth process. The models can be used, for example, to understand the amazing variety of forms to be found in a coral reef. Models which mimic the growth of forms and the environmental influence on the growth process are also useful for ecologists. A combination of simulation models and the actual growth forms can be used to detect the effects of slow changes in the environment."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/807782052> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <http://worldcat.org/entity/work/data/807782052#CreativeWork/> ;
    schema:name "Fractal Modelling : Growth and Form in Biology"@en ;
    schema:productID "851840611" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/851840611#PublicationEvent/berlin_heidelberg_springer_berlin_heidelberg_1994> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/807782052#Agent/springer_berlin_heidelberg> ; # Springer Berlin Heidelberg
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=3089320> ;
    schema:url <http://dx.doi.org/10.1007/978-3-642-57922-6> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-642-57922-6> ;
    schema:workExample <http://worldcat.org/isbn/9783642579226> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/851840611> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/807782052#Agent/springer_berlin_heidelberg> # Springer Berlin Heidelberg
    a bgn:Agent ;
    schema:name "Springer Berlin Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/807782052#Place/berlin_heidelberg> # Berlin, Heidelberg
    a schema:Place ;
    schema:name "Berlin, Heidelberg" ;
    .

<http://id.loc.gov/authorities/subjects/sh85014206> # Biology--Data processing
    a schema:Intangible ;
    schema:name "Biology--Data processing"@en ;
    .

<http://id.worldcat.org/fast/1132103> # Statistics
    a schema:Intangible ;
    schema:name "Statistics"@en ;
    .

<http://id.worldcat.org/fast/832406> # Biology--Data processing
    a schema:Intangible ;
    schema:name "Biology--Data processing"@en ;
    .

<http://id.worldcat.org/fast/836869> # Botany
    a schema:Intangible ;
    schema:name "Botany"@en ;
    .

<http://id.worldcat.org/fast/901476> # Ecology
    a schema:Intangible ;
    schema:name "Ecology"@en ;
    .

<http://id.worldcat.org/fast/940469> # Geography
    a schema:Intangible ;
    schema:name "Geography"@en ;
    .

<http://viaf.org/viaf/113707950> # Jaap A. Kaandorp
    a schema:Person ;
    schema:familyName "Kaandorp" ;
    schema:givenName "Jaap A." ;
    schema:name "Jaap A. Kaandorp" ;
    .

<http://worldcat.org/entity/work/data/807782052#CreativeWork/>
    a schema:CreativeWork ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/851840611> ; # Fractal Modelling : Growth and Form in Biology
    .

<http://worldcat.org/isbn/9783642579226>
    a schema:ProductModel ;
    schema:isbn "3642579221" ;
    schema:isbn "9783642579226" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.