Imaging-Specific Coefficients for Faster Pigment Concentration Analysis

The patent pre-calculates and stores coefficient data (including regression coefficients and basis spectrum coefficients) for multiple imaging apparatuses before actual pigment concentration measurement. When measuring, the system only needs to retrieve the appropriate pre-stored coefficients and perform simple calculations, avoiding time-consuming multivariate or multiple regression analyses during the measurement process. This preliminary preparation resolves the contradiction by maintaining high measurement precision through stored coefficients while dramatically reducing processing time during actual use.

The patent segments the complex pigment concentration calculation process into two distinct phases: (1) a pre-processing phase where comprehensive coefficient data is calculated and stored for different imaging apparatuses, and (2) a measurement phase where only simple retrieval and calculation operations are performed. This segmentation allows the system to maintain high measurement precision through thorough pre-analysis while achieving fast processing speeds during actual pigment concentration measurement by avoiding repeated complex calculations.

The patent performs complex computational processes in advance to generate and store coefficient data for various imaging apparatuses. The pre-processing stage includes calculating regression coefficients, basis spectra, and other parameters that would otherwise require complex real-time computations. During actual pigment concentration measurement, the system uses these pre-computed coefficients with simple arithmetic operations, thereby maintaining high measurement precision while significantly reducing the computational complexity required during operation.

The patent creates and stores copies of coefficient data (including apparatus-specific regression coefficients and basis spectrum coefficients) that can be rapidly retrieved and applied to multiple measurements. Instead of performing complex calculations repeatedly, the system uses these pre-computed coefficient copies to quickly determine pigment concentrations while maintaining accuracy. This copying approach reduces device complexity by replacing repeated complex computations with simple data retrieval and application operations.