Parametric tuning of the Gielis Superformula for non-target based automated evolution of 3D Printable objects

3D printing is an emerging trend fuelled by the rapid technology advancements in 3D printing technology. Printing out 3D designs is something new and interesting but the process of designing 3D objects is far from effortless. Researchers have recently forged ahead in conducting numerous studies on u...

Full description

Bibliographic Details
Main Authors: Jia, Hui Ong, Jason Teo
Format: Article
Language:English
English
Published: 2015
Subjects:
Online Access:https://eprints.ums.edu.my/id/eprint/20526/1/Parametric%20tuning%20of%20the%20Gielis%20Superformula%20for%20non.pdf
https://eprints.ums.edu.my/id/eprint/20526/7/Parametric%20tuning%20of%20the%20Gielis%20Superformula%20for%20non-target%20based%20automated%20evolution%20of%203D%20Printable%20objects..pdf
_version_ 1825713528925847552
author Jia, Hui Ong
Jason Teo
author_facet Jia, Hui Ong
Jason Teo
author_sort Jia, Hui Ong
collection UMS
description 3D printing is an emerging trend fuelled by the rapid technology advancements in 3D printing technology. Printing out 3D designs is something new and interesting but the process of designing 3D objects is far from effortless. Researchers have recently forged ahead in conducting numerous studies on using mathematical formulas to create objects and shapes in 3D space. A mathematical encoding for geometric shapes called the Superformula was proposed by Johan Geilis through the generalization of the Supereclipse formula to generate 3D shapes and objects by extending its spherical products. The focus of this study is to investigate the ideal range of parametric values supplied to the Superformula in order to automatically generate 3D shapes and objects through the use of Evolution Algorithms (EAs). Thus, Evolutionary Programming was used as the EA in this study which serves as the main evolution component that uses a fitness function tailored in a way that it is able to evaluate the 3D objects and shapes generated by the Superformula. The values require by the Superformula to generate 3D objects or shapes are . To obtain the ideal range of values for the afore mentioned parameters, five different sets of experiments were carried out within the range set of {0 - 20}, {0 - 40}, {0 - 60}, {0 - 120}, and {0 - 240}.Each range set of numbers will be tested five times and the final objects from each of the runs were then analysed. From the observations obtained, the range set of {0- 20}, {0- 60}, and {0- 120} shows the most promising results as the final objects produced were unique and it was surmised that within these range of numbers contain highly unique and novel 3D objects and shapes.
first_indexed 2024-03-06T02:57:59Z
format Article
id ums.eprints-20526
institution Universiti Malaysia Sabah
language English
English
last_indexed 2024-03-06T02:57:59Z
publishDate 2015
record_format dspace
spelling ums.eprints-205262021-04-30T08:10:02Z https://eprints.ums.edu.my/id/eprint/20526/ Parametric tuning of the Gielis Superformula for non-target based automated evolution of 3D Printable objects Jia, Hui Ong Jason Teo QA Mathematics 3D printing is an emerging trend fuelled by the rapid technology advancements in 3D printing technology. Printing out 3D designs is something new and interesting but the process of designing 3D objects is far from effortless. Researchers have recently forged ahead in conducting numerous studies on using mathematical formulas to create objects and shapes in 3D space. A mathematical encoding for geometric shapes called the Superformula was proposed by Johan Geilis through the generalization of the Supereclipse formula to generate 3D shapes and objects by extending its spherical products. The focus of this study is to investigate the ideal range of parametric values supplied to the Superformula in order to automatically generate 3D shapes and objects through the use of Evolution Algorithms (EAs). Thus, Evolutionary Programming was used as the EA in this study which serves as the main evolution component that uses a fitness function tailored in a way that it is able to evaluate the 3D objects and shapes generated by the Superformula. The values require by the Superformula to generate 3D objects or shapes are . To obtain the ideal range of values for the afore mentioned parameters, five different sets of experiments were carried out within the range set of {0 - 20}, {0 - 40}, {0 - 60}, {0 - 120}, and {0 - 240}.Each range set of numbers will be tested five times and the final objects from each of the runs were then analysed. From the observations obtained, the range set of {0- 20}, {0- 60}, and {0- 120} shows the most promising results as the final objects produced were unique and it was surmised that within these range of numbers contain highly unique and novel 3D objects and shapes. 2015 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20526/1/Parametric%20tuning%20of%20the%20Gielis%20Superformula%20for%20non.pdf text en https://eprints.ums.edu.my/id/eprint/20526/7/Parametric%20tuning%20of%20the%20Gielis%20Superformula%20for%20non-target%20based%20automated%20evolution%20of%203D%20Printable%20objects..pdf Jia, Hui Ong and Jason Teo (2015) Parametric tuning of the Gielis Superformula for non-target based automated evolution of 3D Printable objects. International Journal of Advanced Research in Computer Science, 6 (6). pp. 1-6. ISSN 0976-5697 https://doi.org/10.26483/ijarcs.v6i6.2522
spellingShingle QA Mathematics
Jia, Hui Ong
Jason Teo
Parametric tuning of the Gielis Superformula for non-target based automated evolution of 3D Printable objects
title Parametric tuning of the Gielis Superformula for non-target based automated evolution of 3D Printable objects
title_full Parametric tuning of the Gielis Superformula for non-target based automated evolution of 3D Printable objects
title_fullStr Parametric tuning of the Gielis Superformula for non-target based automated evolution of 3D Printable objects
title_full_unstemmed Parametric tuning of the Gielis Superformula for non-target based automated evolution of 3D Printable objects
title_short Parametric tuning of the Gielis Superformula for non-target based automated evolution of 3D Printable objects
title_sort parametric tuning of the gielis superformula for non target based automated evolution of 3d printable objects
topic QA Mathematics
url https://eprints.ums.edu.my/id/eprint/20526/1/Parametric%20tuning%20of%20the%20Gielis%20Superformula%20for%20non.pdf
https://eprints.ums.edu.my/id/eprint/20526/7/Parametric%20tuning%20of%20the%20Gielis%20Superformula%20for%20non-target%20based%20automated%20evolution%20of%203D%20Printable%20objects..pdf
work_keys_str_mv AT jiahuiong parametrictuningofthegielissuperformulafornontargetbasedautomatedevolutionof3dprintableobjects
AT jasonteo parametrictuningofthegielissuperformulafornontargetbasedautomatedevolutionof3dprintableobjects