Projector Positioning via 3D-2D Coordinate Mapping
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Solution Overview
Problem
Existing projection systems that project images onto target objects are limited by the fixed positional relationship between the projector and camera, making it difficult to support image projection when these devices are disposed at arbitrary positions.
Innovation Solution
A method that generates relation information between three-dimensional coordinates of target objects and two-dimensional projection coordinates, allowing the projector's position to be specified in both the measuring instrument's coordinate system and a virtual space coordinate system, enabling image projection regardless of the projector and camera's positions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If the positional relation between the projector and camera is determined in advance, then the image projection can be performed, but the projector and camera cannot be disposed at certain positions
Solution Approach 1:
The system performs preliminary calibration by projecting calibration patterns and capturing images before the actual measurement task. This preliminary action establishes the coordinate transformation relationship between the projector and camera in advance, enabling accurate image projection even when devices are positioned at arbitrary locations during actual use.
Solution Approach 2:
The system uses feedback from captured calibration images to compute the coordinate transformation matrix. By comparing the captured calibration pattern images with the projected patterns, the system automatically adjusts and determines the positional relationship, ensuring accurate image projection regardless of the actual device positions.
2Ease of operation
If the projector and camera are disposed at arbitrary positions, then positioning flexibility is improved, but the pre-determined positional relation cannot be maintained
Solution Approach 1:
The system changes the parameter of coordinate transformation by dynamically calculating a transformation matrix that adapts to arbitrary device positions. Instead of relying on fixed pre-determined positions, the system computes new transformation parameters based on calibration images, maintaining coordinate correspondence accuracy regardless of placement location.
Solution Approach 2:
The system transitions from a static pre-determined positional relationship to a dynamic coordinate transformation system. The transformation matrix is computed in real-time based on calibration data, allowing the system to adapt to any device positioning while maintaining measurement precision through automated parameter adjustment.
Data Source
AI summary
A position specifying method includes generating relation information based on first coordinates and second coordinates, the first coordinates indicating coordinates of a portion of a target object in three dimensions, at which a specific point is located, in a state where a projector projects the projection image having the specific point onto the target object, the second coordinates indicating coordinates of the specific point in the projection image in two dimensions, the relation information indicating a correspondence between a three-dimensional coordinate system and a projector coordinate system, the three dimensional coordinate system being used by a measuring instrument that specifies the first coordinates, the projector coordinate system defining the second coordinates and coordinates of the projector, and specifying a position of the projector in the three-dimensional coordinate system based on the coordinates of the projector, by using the relation information.


