Aberration Correction Using Modified Bicubic Interpolation
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Solution Overview
Problem
Existing image correction techniques for aberrations in optical systems do not adequately consider the storage capacity limit during processing, leading to inefficient correction methods that require repetitive region readouts and prolonged processing times, especially in video recording modes.
Innovation Solution
An image processing apparatus that calculates correction amounts for each pixel using a storage unit, a calculation unit, and a correction unit, which derives pixel values by interpolating peripheral pixel values with an interpolation coefficient from a predetermined function, and adjusts the interpolation function to moderate its frequency response behavior when the number of peripheral pixels is limited.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If image correction is performed using a large number of peripheral pixels with a standard interpolation function, then correction precision is improved, but storage capacity requirements increase and processing time extends
Solution Approach 1:
The patent modifies the interpolation function by changing its parameters (specifically using a modified bicubic interpolation function with adjusted coefficients) to achieve moderate frequency response behavior. This allows the system to maintain correction precision while reducing the number of peripheral pixels needed, thereby decreasing storage capacity requirements
Solution Approach 2:
The patent uses a limited number of peripheral pixels (fewer than the traditional 16 or more) by applying a modified interpolation function that compensates for the reduced pixel count through parameter optimization, achieving satisfactory correction results without requiring excessive storage capacity
2Measurement precision
If image correction is performed using a large number of peripheral pixels with a standard interpolation function, then correction precision is improved, but processing speed deteriorates
Solution Approach 1:
By changing the parameters of the interpolation function to a modified bicubic form with specific coefficient adjustments, the patent reduces the computational complexity per pixel while maintaining correction quality, thereby improving processing speed without sacrificing precision
Solution Approach 2:
The patent achieves adequate correction precision using fewer peripheral pixels, which reduces the number of calculations required per image point, thus improving processing speed while maintaining sufficient correction quality for practical applications
3Quantity of substance
If the number of peripheral pixels is reduced to meet storage capacity limits, then storage efficiency is improved, but correction precision deteriorates
Solution Approach 1:
The patent compensates for the reduced number of peripheral pixels by modifying the interpolation function parameters, using adjusted coefficients in the bicubic interpolation formula to maintain correction precision despite having fewer input pixels to work with
Solution Approach 2:
The modified interpolation function acts as an intermediary that bridges the gap between limited pixel data and the required correction precision, processing the available pixel information through an optimized mathematical transformation to achieve accurate correction results
4Reliability
If repetitive region readout is performed to ensure sufficient peripheral pixels are available, then correction completeness is improved, but processing time increases
Solution Approach 1:
The patent performs preliminary analysis to determine the minimum number of peripheral pixels required for effective correction, and configures the modified interpolation function accordingly before processing begins, eliminating the need for repetitive readout operations while ensuring correction completeness
Solution Approach 2:
The patent uses a partially reduced set of peripheral pixels that is sufficient for high-quality correction when processed through the modified interpolation function, avoiding the excessive action of reading the same regions multiple times and thereby reducing processing time while maintaining reliability
Data Source
AI summary
The correction amount of an aberration caused in each pixel of the region by the optical system is calculated. A predetermined number of peripheral pixels center on a position apart from the pixel by the distance corresponding to the calculated aberration correction amount are multiplied by interpolation coefficients obtained from an interpolation function and added, thereby deriving the pixel value at the pixel position after correction. If the predetermined number of peripheral pixels around the position apart by the distance corresponding to the calculated aberration correction amount are not present in the readout region, aberration correction is implemented by changing the interpolation function. More specifically, the interpolation function is changed so as to make the frequency response behavior of the interpolation function more moderate than that of the interpolation function that gives the interpolation coefficients to multiply the predetermined number of peripheral pixels and used in the correction processing.