Projector Image Correction Using Gravity Vector and Screen Normal
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Solution Overview
Problem
Existing image projection systems fail to accurately account for the inclination of the projection plane relative to the gravity direction, leading to incorrect calculations of the roll angle for correcting the shape of the projection screen.
Innovation Solution
A method that involves obtaining a normal vector of the screen surface, calculating a first vector orthogonal to both the gravity vector from an acceleration sensor and the normal vector, and then determining a second vector within the screen surface orthogonal to the first vector. These vectors are used to derive a correction parameter for correcting the shape of the projected image.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the projection plane is inclined obliquely with respect to gravity direction, then the accuracy of roll angle calculation for correcting the projection screen shape deteriorates, but considering the inclination increases the complexity of the correction calculation
Solution Approach 1:
The patent changes the parameter approach by introducing a normal vector of the screen surface and using cross products with the gravity vector to derive correction parameters. This transforms the complex inclination-based calculation into a systematic vector operation that handles all orientations uniformly, resolving the contradiction between accuracy and complexity
Solution Approach 2:
The patent replaces traditional mechanical inclination measurement methods with a computational geometry approach using normal vectors and cross products. This substitution eliminates the need for complex inclination sensors or calculations, achieving accurate roll angle correction through mathematical operations on vector data
2Manufacturing precision
If the inclination of the projection plane is considered for correct roll angle calculation, then the shape correction accuracy improves, but the calculation process becomes more complex
Solution Approach 1:
The patent adds the dimension of the normal vector to the calculation framework. By working in three-dimensional vector space with the normal vector and gravity vector, the system can accurately determine roll angles for inclined projections without increasing practical calculation complexity, as the cross product operations remain computationally efficient
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach enhances the accuracy of image projection by considering the inclination of the screen surface relative to the gravity direction, thereby improving the correction of the projected image's shape.
Implementation Method 1
a gravity vector obtained from output of an acceleration sensor associated with a coordinate system of an optical device
Data Source
AI summary
A correction method includes obtaining a normal vector of a screen surface, obtaining a first vector orthogonal to both a gravity vector obtained from output of an acceleration sensor associated with a coordinate system of an optical device of a projector and the normal vector, obtaining a second vector orthogonal to the first vector in the screen surface, and obtaining a correction parameter for correction of a shape of a projected image projected on the screen surface based on the first vector and the second vector.