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Publications (10 of 69) Show all publications
Fridenfalk, M. (2016). Application for Real-Time Generation of Mathematically Defined 3D Worlds (1ed.). In: Marina L. Gavrilova, C. J. Kenneth Tan, and Alexei Sourin (Ed.), Gavrilova, ML; Tan, CJK; Sourin, A (Ed.), Transactions on Computational Science XXVIII: Special Issue on Cyberworlds and Cybersecurity: . Paper presented at 15th International Conference on Cyberworlds, Uppsala Univ, Gotland, SWEDEN, OCT 07-09, 2015 (pp. 45-68). Berlin Heidelberg: Springer Berlin/Heidelberg
Open this publication in new window or tab >>Application for Real-Time Generation of Mathematically Defined 3D Worlds
2016 (English)In: Transactions on Computational Science XXVIII: Special Issue on Cyberworlds and Cybersecurity / [ed] Gavrilova, ML; Tan, CJK; Sourin, A, Berlin Heidelberg: Springer Berlin/Heidelberg, 2016, 1, p. 45-68Conference paper, Published paper (Refereed)
Abstract [en]

This paper presents an application developed as a research platform for the real-time generation of 3D L- system structures, including rudimentary game physics and a freely scalable depth buffer that enables the user to interact with the L-system geometries, and in addition to render a mathematically defined world that is virtually unlimited in scope. 

Place, publisher, year, edition, pages
Berlin Heidelberg: Springer Berlin/Heidelberg, 2016 Edition: 1
Series
Lecture Notes in Computer Science, ISSN 1866-4733 ; 9590
Keywords
3D, Depth buffer, Cyberspace, Game engine, Interactive, L-system, Real-time, Spline, z-buffer
National Category
Computer Systems Discrete Mathematics Computational Mathematics
Research subject
Mathematics with specialization in Applied Mathematics
Identifiers
urn:nbn:se:uu:diva-311641 (URN)10.1007/978-3-662-53090-0_3 (DOI)000389498600003 ()9783662530894 (ISBN)9783662530900 (ISBN)
Conference
15th International Conference on Cyberworlds, Uppsala Univ, Gotland, SWEDEN, OCT 07-09, 2015
Available from: 2016-12-30 Created: 2016-12-30 Last updated: 2017-01-23Bibliographically approved
Fridenfalk, M. (2016). Cellular Automata in Modular Space: Rigid Systems – Volume IX – Number I. Uppsala: Uppsala universitet
Open this publication in new window or tab >>Cellular Automata in Modular Space: Rigid Systems – Volume IX – Number I
2016 (English)Book (Other academic)
Abstract [en]

This book series presents a new type of cellular automata for 2D pattern generation, characterized by a high reproduction rate, in combination with the application of a small-sized 2D modular square lattice. The presented patterns are in the spirit of mathematical minimalism, generated from rudimentary kernels and a minimal set of rules. In similarity with fractals, this new concept could provide for the generation of patterns and geometries with applications in areas such as, visual arts, logo design, architecture, and game design.

Place, publisher, year, edition, pages
Uppsala: Uppsala universitet, 2016. p. 1224
National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:uu:diva-295226 (URN)978-91-506-2570-7 (ISBN)
Available from: 2016-06-03 Created: 2016-06-03 Last updated: 2016-06-14Bibliographically approved
Fridenfalk, M. (2016). Cellular Automata in Modular Space: Rigid Systems – Volume IX – Number II (1ed.). Uppsala: Uppsala universitet
Open this publication in new window or tab >>Cellular Automata in Modular Space: Rigid Systems – Volume IX – Number II
2016 (English)Book (Other academic)
Abstract [en]

This book series presents a new type of cellular automata for 2D pattern generation, characterized by a high reproduction rate, in combination with the application of a small-sized 2D modular square lattice. The presented patterns are in the spirit of mathematical minimalism, generated from rudimentary kernels and a minimal set of rules. In similarity with fractals, this new concept could provide for the generation of patterns and geometries with applications in areas such as, visual arts, logo design, architecture, and game design.

Place, publisher, year, edition, pages
Uppsala: Uppsala universitet, 2016. p. 1314 Edition: 1
National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:uu:diva-295227 (URN)978-91-506-2571-4 (ISBN)
Available from: 2016-06-03 Created: 2016-06-03 Last updated: 2016-06-14Bibliographically approved
Fridenfalk, M. (2016). Cellular Automata in Modular Space: Rigid Systems – Volume IX – Number III (1ed.). Uppsala: Uppsala universitet
Open this publication in new window or tab >>Cellular Automata in Modular Space: Rigid Systems – Volume IX – Number III
2016 (English)Book (Other academic)
Abstract [en]

This book series presents a new type of cellular automata for 2D pattern generation, characterized by a high reproduction rate, in combination with the application of a small-sized 2D modular square lattice. The presented patterns are in the spirit of mathematical minimalism, generated from rudimentary kernels and a minimal set of rules. In similarity with fractals, this new concept could provide for the generation of patterns and geometries with applications in areas such as, visual arts, logo design, architecture, and game design.

Place, publisher, year, edition, pages
Uppsala: Uppsala universitet, 2016. p. 1170 Edition: 1
National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:uu:diva-295230 (URN)978-91-506-2572-1 (ISBN)
Available from: 2016-06-03 Created: 2016-06-03 Last updated: 2016-06-14Bibliographically approved
Fridenfalk, M. (2016). Cellular Automata in Modular Space: Rigid Systems – Volume IX – Number IV (1ed.). Uppsala: Uppsala universitet
Open this publication in new window or tab >>Cellular Automata in Modular Space: Rigid Systems – Volume IX – Number IV
2016 (English)Book (Other academic)
Abstract [en]

This book series presents a new type of cellular automata for 2D pattern generation, characterized by a high reproduction rate, in combination with the application of a small-sized 2D modular square lattice. The presented patterns are in the spirit of mathematical minimalism, generated from rudimentary kernels and a minimal set of rules. In similarity with fractals, this new concept could provide for the generation of patterns and geometries with applications in areas such as, visual arts, logo design, architecture, and game design.

Place, publisher, year, edition, pages
Uppsala: Uppsala universitet, 2016. p. 1515 Edition: 1
National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:uu:diva-295231 (URN)978-91-506-2573-8 (ISBN)
Available from: 2016-06-03 Created: 2016-06-03 Last updated: 2016-06-14Bibliographically approved
Fridenfalk, M. (2016). Cellular Automata in Modular Space: Rigid Systems – Volume IX – Number V (1ed.). Uppsala: Uppsala universitet
Open this publication in new window or tab >>Cellular Automata in Modular Space: Rigid Systems – Volume IX – Number V
2016 (English)Book (Other academic)
Abstract [en]

This book series presents a new type of cellular automata for 2D pattern generation, characterized by a high reproduction rate, in combination with the application of a small-sized 2D modular square lattice. The presented patterns are in the spirit of mathematical minimalism, generated from rudimentary kernels and a minimal set of rules. In similarity with fractals, this new concept could provide for the generation of patterns and geometries with applications in areas such as, visual arts, logo design, architecture, and game design.

Place, publisher, year, edition, pages
Uppsala: Uppsala universitet, 2016. p. 1767 Edition: 1
National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:uu:diva-295232 (URN)978-91-506-2574-5 (ISBN)
Available from: 2016-06-03 Created: 2016-06-03 Last updated: 2016-06-14Bibliographically approved
Fridenfalk, M. (2016). Cellular Automata in Modular Space: Rigid Systems – Volume VI – Number I (1ed.). Uppsala: Uppsala universitet
Open this publication in new window or tab >>Cellular Automata in Modular Space: Rigid Systems – Volume VI – Number I
2016 (English)Book (Other academic)
Abstract [en]

This book series presents a new type of cellular automata for 2D pattern generation, characterized by a high reproduction rate, in combination with the application of a small-sized 2D modular square lattice. The presented patterns are in the spirit of mathematical minimalism, generated from rudimentary kernels and a minimal set of rules. In similarity with fractals, this new concept could provide for the generation of patterns and geometries with applications in areas such as, visual arts, logo design, architecture, and game design.

Place, publisher, year, edition, pages
Uppsala: Uppsala universitet, 2016. p. 1130 Edition: 1
National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:uu:diva-295192 (URN)978-91-506-2555-4 (ISBN)
Available from: 2016-06-03 Created: 2016-06-03 Last updated: 2016-06-14Bibliographically approved
Fridenfalk, M. (2016). Cellular Automata in Modular Space: Rigid Systems – Volume VI – Number II (1ed.). Uppsala: Uppsala universitet
Open this publication in new window or tab >>Cellular Automata in Modular Space: Rigid Systems – Volume VI – Number II
2016 (English)Book (Other academic)
Abstract [en]

This book series presents a new type of cellular automata for 2D pattern generation, characterized by a high reproduction rate, in combination with the application of a small-sized 2D modular square lattice. The presented patterns are in the spirit of mathematical minimalism, generated from rudimentary kernels and a minimal set of rules. In similarity with fractals, this new concept could provide for the generation of patterns and geometries with applications in areas such as, visual arts, logo design, architecture, and game design.

Place, publisher, year, edition, pages
Uppsala: Uppsala universitet, 2016. p. 1330 Edition: 1
National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:uu:diva-295199 (URN)978-91-506-2556-1 (ISBN)
Available from: 2016-06-03 Created: 2016-06-03 Last updated: 2016-06-14Bibliographically approved
Fridenfalk, M. (2016). Cellular Automata in Modular Space: Rigid Systems – Volume VI – Number III (1ed.). Uppsala: Uppsala universitet
Open this publication in new window or tab >>Cellular Automata in Modular Space: Rigid Systems – Volume VI – Number III
2016 (English)Book (Other academic)
Abstract [en]

This book series presents a new type of cellular automata for 2D pattern generation, characterized by a high reproduction rate, in combination with the application of a small-sized 2D modular square lattice. The presented patterns are in the spirit of mathematical minimalism, generated from rudimentary kernels and a minimal set of rules. In similarity with fractals, this new concept could provide for the generation of patterns and geometries with applications in areas such as, visual arts, logo design, architecture, and game design.

Place, publisher, year, edition, pages
Uppsala: Uppsala universitet, 2016. p. 1153 Edition: 1
National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:uu:diva-295204 (URN)978-91-506-2557-8 (ISBN)
Available from: 2016-06-03 Created: 2016-06-03 Last updated: 2016-06-14Bibliographically approved
Fridenfalk, M. (2016). Cellular Automata in Modular Space: Rigid Systems – Volume VI – Number IV (1ed.). Uppsala: Uppsala universitet
Open this publication in new window or tab >>Cellular Automata in Modular Space: Rigid Systems – Volume VI – Number IV
2016 (English)Book (Other academic)
Abstract [en]

This book series presents a new type of cellular automata for 2D pattern generation, characterized by a high reproduction rate, in combination with the application of a small-sized 2D modular square lattice. The presented patterns are in the spirit of mathematical minimalism, generated from rudimentary kernels and a minimal set of rules. In similarity with fractals, this new concept could provide for the generation of patterns and geometries with applications in areas such as, visual arts, logo design, architecture, and game design.

Place, publisher, year, edition, pages
Uppsala: Uppsala universitet, 2016. p. 1162 Edition: 1
National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:uu:diva-295206 (URN)978-91-506-2558-5 (ISBN)
Available from: 2016-06-03 Created: 2016-06-03 Last updated: 2016-06-14Bibliographically approved
Organisations
Identifiers
ORCID iD: ORCID iD iconorcid.org/0000-0002-3754-172X

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