MinMax Optimization Algorithm for Reproducing All Tooth Shades Utilizing Vita Classical Colors
Introduction: Color mixing is used in dental practice to produce a wide variety of colors. Mathematical methods can be used to reproduce colors. Methods: We employed a mathematical algorithm to identify the basic essential three Vita Classical colors (VCC) that can be used to produce, through controlled mixing, all other colors of the VCC array in dental practice with the least possible errors. These were found to be: B1, B3, and C4. Another algorithm was constructed to find out mixing ratios of B1, B3, and C4 that would produce the remaining colors of VCC array with least errors. However, there were differences in colors and these were calculated as Δ E . Results: B1, B3, and C4 produced all other colors through direct mixing with the least average error (AE). Errors were found to range from 0.3985% to 1.5675% (average = 0.7473788%). The highest color errors were noticed during the production of A3.5 (1.5675%) and C3 (1.42%). Conclusion : B1, B3, and C4 are the colors most likely to produce all other colors through direct mixing having the least AE.
Authors
- Rawah Eshky (ORCID: https://orcid.org/0000-0001-7001-5193)
- Jamal S. Rahhal (ORCID: https://orcid.org/0000-0003-4283-361X)
- Shaden Abu‐Hammad (ORCID: https://orcid.org/0000-0001-8162-9342)
- Nebras Althagafi (ORCID: https://orcid.org/0000-0002-7853-4809)
- Sary Borzangy (ORCID: https://orcid.org/0000-0002-7717-168X)
- Osama Abu‐Hammad (ORCID: https://orcid.org/0000-0002-3416-165X)
- Najla Dar-Odeh
- Rand Al-Smadi
- Rasha Rahhal
Institutions
- University of Jordan (JO)
- Boehringer Ingelheim (Germany) (DE)
- Taibah University (SA)
Publication Details
- Journal
- Dental Hypotheses
- Published
- 2025-04-01
- DOI
- https://doi.org/10.4103/denthyp.denthyp_72_24
- Primary Topic
- Dental materials and restorations
- Type
- article
- Field-Weighted Citation Impact
- 0.00