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.

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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
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article

MinMax Optimization Algorithm for Reproducing All Tooth Shades Utilizing Vita Classical Colors

Rawah Eshky, Jamal S. Rahhal, Shaden Abu‐Hammad, Nebras Althagafi et al.
Dental Hypotheses
Dental materials and restorations
article

MinMax Optimization Algorithm for Reproducing All Tooth Shades Utilizing Vita Classical Colors

Rawah Eshky, Jamal S. Rahhal, Shaden Abu‐Hammad, Nebras Althagafi, Sary Borzangy, Osama Abu‐Hammad, Najla Dar-Odeh, Rand Al-Smadi, Rasha Rahhal
article en

Abstract

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.

Dental HypothesesVol. 16(2)
University of Jordan (JO), Boehringer Ingelheim (Germany) (DE), Taibah University (SA)
Openalex Percentile: Top 85%
Dental materials and restorations
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