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Volume 16, Issue 3
Geometric Design of Letters in Times Roman Font via RBF Meshless Collocation Method

Lionel Amuzu, C. S. Chen, Kwesi Acheampong & Huiqing Zhu

DOI: 10.4208/nmtma.OA-2022-0189

Numer. Math. Theor. Meth. Appl., 16 (2023), pp. 752-768.

Published online: 2023-08

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  • Abstract

Two mathematical models in the context of boundary value problems are proposed for the geometric design of letters in Times Roman font. We adopt radial basis function meshless collocation method for numerically solving the two proposed mathematical models in 2D and 3D. In this paper, Bézier curves play an important role in the design of the letters. Three examples with simply and multiply-connected domains in 2D and 3D are presented to demonstrate the visual effect of the letters in Times Roman font.

  • Keywords

Kansa method, Bézier curve, implicit surface, computer graphics, image reconstruction, meshless method, radial basis functions.

  • AMS Subject Headings

65N35, 65H10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-16-752, author = {Amuzu , LionelChen , C. S.Acheampong , Kwesi and Zhu , Huiqing}, title = {Geometric Design of Letters in Times Roman Font via RBF Meshless Collocation Method}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2023}, volume = {16}, number = {3}, pages = {752--768}, abstract = {

Two mathematical models in the context of boundary value problems are proposed for the geometric design of letters in Times Roman font. We adopt radial basis function meshless collocation method for numerically solving the two proposed mathematical models in 2D and 3D. In this paper, Bézier curves play an important role in the design of the letters. Three examples with simply and multiply-connected domains in 2D and 3D are presented to demonstrate the visual effect of the letters in Times Roman font.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2022-0189}, url = {http://global-sci.org/intro/article_detail/nmtma/21965.html} }
TY - JOUR T1 - Geometric Design of Letters in Times Roman Font via RBF Meshless Collocation Method AU - Amuzu , Lionel AU - Chen , C. S. AU - Acheampong , Kwesi AU - Zhu , Huiqing JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 752 EP - 768 PY - 2023 DA - 2023/08 SN - 16 DO - http://doi.org/10.4208/nmtma.OA-2022-0189 UR - https://global-sci.org/intro/article_detail/nmtma/21965.html KW - Kansa method, Bézier curve, implicit surface, computer graphics, image reconstruction, meshless method, radial basis functions. AB -

Two mathematical models in the context of boundary value problems are proposed for the geometric design of letters in Times Roman font. We adopt radial basis function meshless collocation method for numerically solving the two proposed mathematical models in 2D and 3D. In this paper, Bézier curves play an important role in the design of the letters. Three examples with simply and multiply-connected domains in 2D and 3D are presented to demonstrate the visual effect of the letters in Times Roman font.

Lionel Amuzu, C. S. Chen, Kwesi Acheampong & Huiqing Zhu. (2023). Geometric Design of Letters in Times Roman Font via RBF Meshless Collocation Method. Numerical Mathematics: Theory, Methods and Applications. 16 (3). 752-768. doi:10.4208/nmtma.OA-2022-0189
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