Image Gradation Calibration Using Interpolated Density Patches
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Solution Overview
Problem
Existing image forming technologies require a large number of patch images for calibration, leading to reduced accuracy due to the need for extensive density detection data.
Innovation Solution
The image forming apparatus uses a reduced number of patch images by employing interpolation and extrapolation to generate supplement density data, allowing for accurate calibration through gradation correction.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If a smaller number of patch images is used, then the complexity of the test pattern image is reduced, but the accuracy of calibration deteriorates
Solution Approach 1:
The patent creates virtual copies of density data through interpolation and extrapolation. Instead of requiring physical patch images for all density values, the system generates supplement density data that replicates the characteristics of missing patches mathematically, allowing calibration to proceed with fewer physical patches while maintaining accuracy
Solution Approach 2:
The patent transforms the calibration approach by changing from direct measurement of all density values to a hybrid approach combining direct measurement (for present patches) with calculated estimation (for absent patches). This parameter change in the measurement strategy allows reduction of physical patches while preserving calibration accuracy through mathematical supplementation
2Area of stationary object
If a smaller number of patch images is used, then the area occupied by the test pattern image is reduced, but the accuracy of calibration deteriorates
Solution Approach 1:
The patent generates virtual density data copies through interpolation and extrapolation to compensate for the reduced number of physical patches. This allows the test pattern to occupy less area while the supplemented density data maintains the information completeness needed for accurate calibration
Solution Approach 2:
The patent transitions from a two-dimensional spatial arrangement of patches to a four-dimensional solution space by adding temporal and computational dimensions. Density data is supplemented across the density value dimension through interpolation/extrapolation, allowing fewer spatial patches while maintaining comprehensive calibration coverage
Data Source
AI summary
A controller generates first supplement density data from certain parts of a plurality of density input values and a plurality of pieces of first detection density data by at least one of interpolation and extrapolation of a plurality of pieces of first detection density data, generates second supplement density data from other parts of a plurality of density input values and a plurality of pieces of second detection density data by at least one of interpolation and extrapolation of a plurality of pieces of second detection density data, and generates gradation correction data using the plurality of pieces of first detection density data, the plurality of pieces of second detection density data, the first supplement density data, and the second supplement density data.