Optical System Wide Angle Resolution
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Solution Overview
Problem
Conventional optical systems that capture images at wide view angles suffer from image compression at the periphery, leading to lost information and reduced angular resolution, particularly at maximum view angles, making it difficult to maintain high image quality and resolution across the entire capture range.
Innovation Solution
The optical system is designed such that the rate of change of image height per view angle is greater than 0 at the maximum view angle, with a specific expression for the rate of change of view angle per image height, ensuring increased angular resolution across the entire image capture range while allowing for a wide view angle capture.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If orthogonal projection method is used to capture wide view angle images, then the image capture range is widened, but the periphery of the image becomes compressed and information is lost
Solution Approach 1:
The patent changes the projection characteristics from conventional orthogonal projection (y = f·sinθ) to a new projection method expressed by y = a·f·sin(b·θ), where parameters a and b are optimized to maintain dy/dθ > 0 at maximum view angle. This parameter modification transforms the projection geometry to prevent periphery compression while preserving wide-angle capture capability.
2Adaptability or versatility
If conventional optical systems are used for wide view angle capture, then the view angle is widened, but the angular resolution deteriorates at maximum view angle
Solution Approach 1:
The patent modifies the projection function parameters to ensure dy/dθ > 0 at the maximum view angle θmax. By optimizing parameters a and b in the expression y = a·f·sin(b·θ), the system maintains positive rate of change of image height per view angle even at maximum view angle, thereby preserving angular resolution across the entire field of view.
Solution Approach 2:
The patent creates a dynamic projection system where the rate of change dy/dθ is maintained positive throughout the view angle range. This dynamic characteristic ensures that the optical system adapts to maintain resolution quality across varying view angles, particularly preventing the resolution collapse that occurs at maximum view angle in conventional systems.
3Measurement precision
If perspective projection method is used, then the image quality at center is maintained, but the image height diverges at wide angle requiring infinitely large imaging element
Solution Approach 1:
The patent transitions from perspective projection (y = f·tanθ) to a modified projection method (y = a·f·sin(b·θ)) that combines advantages of both perspective and orthogonal projections. The parameter b controls the projection curvature to maintain center image quality while parameter a scales the overall image height to remain finite at wide angles, eliminating the need for infinitely large imaging elements.
Data Source
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AI summary
Provided is a technology which is suitable for both widening an image capture view angle and securing an angular resolution across the entire image capture range. In an imaging optical system, a rate of change of an image height per view angle, i.e. dy/dθ, is greater than 0 at a maximum view angle θmax, a rate of change of a view angle per image height, i.e. D(θ) = 1/(dy(θ)/dθ), satisfies an expression D(θp) > {(D(θmax) - D(0))/θmaxθ}θp + D(0), with θp which lies in a range of 0 < θ < θmax, and it satisfies an expression 1.5 < (y(θs)/θs)/{(y(θmax) - y(θs))/(θmax - θs)} < 3.0 with a switching view angle θs of the rate of change D(θ) of the view angle per image height.