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Structured Grid-Based G1 Cubic Trigonometric Triangular Spline Surface with Quantitative Error Evaluation

  • Muhammad Syawal Abd Halim
  • , Normi Abdul Hadi
  • , Rusliza Ahmad
  • , Syaiful Anam

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Digitization of an object from visual to data point can help researchers manipulate the data for further use particularly in reconstructing a surface. The use of trigonometric function in generating a triangular surface offers a smooth surface with flexibility as ensued from its derivation and cyclability advantages. This study used a structured 3- dimensional data of a human head as control points to reconstruct a surface using G1 cubic trigonometric triangular spline with rational basis functions. The G1 continuity was used to generate a smooth surface with rational basis functions that were closer to the control points, as the root mean square error (RMSE) and maximum error were smaller. The generated human head surface was illustrated in this study.

Original languageEnglish
Title of host publication2026 International Conference on Cognitive Systems and Computer Interaction, ICoSCI 2026 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9798331568139
DOIs
Publication statusPublished - 2026
Event2026 International Conference on Cognitive Systems and Computer Interaction, ICoSCI 2026 - Kuala Terengganu, Malaysia
Duration: 15 Jan 2026 → 16 Jan 2026

Publication series

Name2026 International Conference on Cognitive Systems and Computer Interaction, ICoSCI 2026 - Proceedings

Conference

Conference2026 International Conference on Cognitive Systems and Computer Interaction, ICoSCI 2026
Country/TerritoryMalaysia
CityKuala Terengganu
Period15/01/26 → 16/01/26

Keywords

  • cubic trigonometric triangular
  • G1 continuity
  • maximum error
  • RMSE
  • surface reconstruction

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