<b>&quot;The Geometry of Flat and Full: Comparing 2D and 3D Shapes&quot;</b>

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"The Geometry of Flat and Full: Comparing 2D and 3D Shapes"

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Author(s): Akpusugh Verse Ephraim Odvese ¹ ^,

Other contributor(s): Dekpoghol Tertsea ² (Research-assistant)

Publication date (Electronic preprint): 4 November 2024

Journal: ScienceOpen Preprints

Publisher: ScienceOpen

Keywords: 2D Shapes, 3D Shapes, Perimeter , Area, Surface Area, Volume, Vertices, Edges, Faces, Comparative Analysis

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Abstract

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Author and article information

Journal

Title: ScienceOpen Preprints

Publisher: ScienceOpen

Publication date (Electronic preprint): 4 November 2024

Affiliations

[1 ] Department of Mathematics, Federal University of Technology Minna, Nigeria.;

[2 ] Department of Chemistry, University of Abuja, Federal Capital Territory, Nigeria.;

Author notes

[* ]Email: akpusughephraim@ 123456gmail.com .

Author information

Akpusugh Verse Ephraim Odvese https://orcid.org/0009-0002-9520-4868

Dekpoghol Tertsea https://orcid.org/0009-0008-6399-2314

Article

DOI: 10.14293/PR2199.001255.v1

SO-VID: fb0e9b02-5b54-4c45-94bf-5405630ba96b

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This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

History

Date received : 4 November 2024

References

Cattaneo Cristina, Cantatore Angela, Ciaffi Romina, Gibelli Daniele, Cigada Alfredo, De Angelis Danilo, Sala Remo. Personal Identification by the Comparison of Facial Profiles: Testing the Reliability of a High‐Resolution 3D–2D Comparison Model. Journal of Forensic Sciences. Vol. 57(1):182–187. 2012. Wiley. [Cross Ref]
Daly Andrew C, Critchley Susan E, Rencsok Emily M, Kelly Daniel J. A comparison of different bioinks for 3D bioprinting of fibrocartilage and hyaline cartilage. Biofabrication. Vol. 8(4)2016. IOP Publishing. [Cross Ref]
Demantké J., Mallet C., David N., Vallet B.. DIMENSIONALITY BASED SCALE SELECTION IN 3D LIDAR POINT CLOUDS. The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVIII-5/W12:97–102. 2012. Copernicus GmbH. [Cross Ref]
Doitrand Aurélien, Leguillon Dominique. Comparison between 2D and 3D applications of the coupled criterion to crack initiation prediction in scarf adhesive joints. International Journal of Adhesion and Adhesives. Vol. 85:69–76. 2018. Elsevier BV. [Cross Ref]
IMAMURA YOSHINORI, MUKOHARA TORU, SHIMONO YOHEI, FUNAKOSHI YOHEI, CHAYAHARA NAOKO, TOYODA MASANORI, KIYOTA NAOMI, TAKAO SHINTARO, KONO SEISHI, NAKATSURA TETSUYA, MINAMI HIRONOBU. Comparison of 2D- and 3D-culture models as drug-testing platforms in breast cancer. Oncology Reports. Vol. 33(4):1837–1843. 2015. Spandidos Publications. [Cross Ref]
Kapałczyńska Marta, Kolenda Tomasz, Przybyła Weronika, Zajączkowska Maria, Teresiak Anna, Filas Violetta, Ibbs Matthew, Bliźniak Renata, Łuczewski Łukasz, Lamperska Katarzyna. 2D and 3D cell cultures – a comparison of different types of cancer cell cultures. Archives of Medical Science. 2016. Termedia Sp. z.o.o. [Cross Ref]
Lague Dimitri, Brodu Nicolas, Leroux Jérôme. Accurate 3D comparison of complex topography with terrestrial laser scanner: Application to the Rangitikei canyon (N-Z). ISPRS Journal of Photogrammetry and Remote Sensing. Vol. 82:10–26. 2013. Elsevier BV. [Cross Ref]
Lin Pei-Chun, Chen Shang-I.. The effects of gender differences on the usability of automotive on-board navigation systems – A comparison of 2D and 3D display. Transportation Research Part F: Traffic Psychology and Behaviour. Vol. 19:40–51. 2013. Elsevier BV. [Cross Ref]
Low Ze-Xian, Chua Yen Thien, Ray Brian Michael, Mattia Davide, Metcalfe Ian Saxley, Patterson Darrell Alec. Perspective on 3D printing of separation membranes and comparison to related unconventional fabrication techniques. Journal of Membrane Science. Vol. 523:596–613. 2017. Elsevier BV. [Cross Ref]
Morimoto Kazuhiro, Ardelean Andrei, Wu Ming-Lo, Ulku Arin Can, Antolovic Ivan Michel, Bruschini Claudio, Charbon Edoardo. Megapixel time-gated SPAD image sensor for 2D and 3D imaging applications. Optica. Vol. 7(4)2020. Optica Publishing Group. [Cross Ref]
Paškevičiūtė Miglė, Petrikaitė Vilma. Differences of statin activity in 2D and 3D pancreatic cancer cell cultures. Drug Design, Development and Therapy. Vol. Volume 11:3273–3280. 2017. Informa UK Limited. [Cross Ref]
Saito Shunsuke, Huang Zeng, Natsume Ryota, Morishima Shigeo, Li Hao, Kanazawa Angjoo. PIFu: Pixel-Aligned Implicit Function for High-Resolution Clothed Human Digitization. 2019 IEEE/CVF International Conference on Computer Vision (ICCV). p. 2304–2314. 2019. IEEE. [Cross Ref]
Soares Carolina Pontes, Midlej Victor, Oliveira Maria Eduarda Weschollek de, Benchimol Marlene, Costa Manoel Luis, Mermelstein Cláudia. 2D and 3D-Organized Cardiac Cells Shows Differences in Cellular Morphology, Adhesion Junctions, Presence of Myofibrils and Protein Expression. PLoS ONE. Vol. 7(5)2012. Public Library of Science (PLoS). [Cross Ref]
Zhu Dongxu, Zaffalon Matteo L., Zito Juliette, Cova Francesca, Meinardi Francesco, De Trizio Luca, Infante Ivan, Brovelli Sergio, Manna Liberato. Sb-Doped Metal Halide Nanocrystals: A 0D versus 3D Comparison. ACS Energy Letters. Vol. 6(6):2283–2292. 2021. American Chemical Society (ACS). [Cross Ref]

Comments

Comment on this article

[1] Cattaneo Cristina, Cantatore Angela, Ciaffi Romina, Gibelli Daniele, Cigada Alfredo, De Angelis Danilo, Sala Remo. Personal Identification by the Comparison of Facial Profiles: Testing the Reliability of a High‐Resolution 3D–2D Comparison Model. Journal of Forensic Sciences. Vol. 57(1):182–187. 2012. Wiley. [Cross Ref]

[2] Daly Andrew C, Critchley Susan E, Rencsok Emily M, Kelly Daniel J. A comparison of different bioinks for 3D bioprinting of fibrocartilage and hyaline cartilage. Biofabrication. Vol. 8(4)2016. IOP Publishing. [Cross Ref]

[3] Demantké J., Mallet C., David N., Vallet B.. DIMENSIONALITY BASED SCALE SELECTION IN 3D LIDAR POINT CLOUDS. The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVIII-5/W12:97–102. 2012. Copernicus GmbH. [Cross Ref]

[4] Doitrand Aurélien, Leguillon Dominique. Comparison between 2D and 3D applications of the coupled criterion to crack initiation prediction in scarf adhesive joints. International Journal of Adhesion and Adhesives. Vol. 85:69–76. 2018. Elsevier BV. [Cross Ref]

[5] IMAMURA YOSHINORI, MUKOHARA TORU, SHIMONO YOHEI, FUNAKOSHI YOHEI, CHAYAHARA NAOKO, TOYODA MASANORI, KIYOTA NAOMI, TAKAO SHINTARO, KONO SEISHI, NAKATSURA TETSUYA, MINAMI HIRONOBU. Comparison of 2D- and 3D-culture models as drug-testing platforms in breast cancer. Oncology Reports. Vol. 33(4):1837–1843. 2015. Spandidos Publications. [Cross Ref]

[6] Kapałczyńska Marta, Kolenda Tomasz, Przybyła Weronika, Zajączkowska Maria, Teresiak Anna, Filas Violetta, Ibbs Matthew, Bliźniak Renata, Łuczewski Łukasz, Lamperska Katarzyna. 2D and 3D cell cultures – a comparison of different types of cancer cell cultures. Archives of Medical Science. 2016. Termedia Sp. z.o.o. [Cross Ref]

[7] Lague Dimitri, Brodu Nicolas, Leroux Jérôme. Accurate 3D comparison of complex topography with terrestrial laser scanner: Application to the Rangitikei canyon (N-Z). ISPRS Journal of Photogrammetry and Remote Sensing. Vol. 82:10–26. 2013. Elsevier BV. [Cross Ref]

[8] Lin Pei-Chun, Chen Shang-I.. The effects of gender differences on the usability of automotive on-board navigation systems – A comparison of 2D and 3D display. Transportation Research Part F: Traffic Psychology and Behaviour. Vol. 19:40–51. 2013. Elsevier BV. [Cross Ref]

[9] Low Ze-Xian, Chua Yen Thien, Ray Brian Michael, Mattia Davide, Metcalfe Ian Saxley, Patterson Darrell Alec. Perspective on 3D printing of separation membranes and comparison to related unconventional fabrication techniques. Journal of Membrane Science. Vol. 523:596–613. 2017. Elsevier BV. [Cross Ref]

[10] Morimoto Kazuhiro, Ardelean Andrei, Wu Ming-Lo, Ulku Arin Can, Antolovic Ivan Michel, Bruschini Claudio, Charbon Edoardo. Megapixel time-gated SPAD image sensor for 2D and 3D imaging applications. Optica. Vol. 7(4)2020. Optica Publishing Group. [Cross Ref]

[11] Paškevičiūtė Miglė, Petrikaitė Vilma. Differences of statin activity in 2D and 3D pancreatic cancer cell cultures. Drug Design, Development and Therapy. Vol. Volume 11:3273–3280. 2017. Informa UK Limited. [Cross Ref]

[12] Saito Shunsuke, Huang Zeng, Natsume Ryota, Morishima Shigeo, Li Hao, Kanazawa Angjoo. PIFu: Pixel-Aligned Implicit Function for High-Resolution Clothed Human Digitization. 2019 IEEE/CVF International Conference on Computer Vision (ICCV). p. 2304–2314. 2019. IEEE. [Cross Ref]

[13] Soares Carolina Pontes, Midlej Victor, Oliveira Maria Eduarda Weschollek de, Benchimol Marlene, Costa Manoel Luis, Mermelstein Cláudia. 2D and 3D-Organized Cardiac Cells Shows Differences in Cellular Morphology, Adhesion Junctions, Presence of Myofibrils and Protein Expression. PLoS ONE. Vol. 7(5)2012. Public Library of Science (PLoS). [Cross Ref]

[14] Zhu Dongxu, Zaffalon Matteo L., Zito Juliette, Cova Francesca, Meinardi Francesco, De Trizio Luca, Infante Ivan, Brovelli Sergio, Manna Liberato. Sb-Doped Metal Halide Nanocrystals: A 0D versus 3D Comparison. ACS Energy Letters. Vol. 6(6):2283–2292. 2021. American Chemical Society (ACS). [Cross Ref]

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