Zenith-Aligned Polyhedron Image Development System
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Solution Overview
Problem
Conventional methods for creating three-dimensional paper models from captured images often fail to ensure that the topmost point of a polyhedron formed by folding a printed paper sheet corresponds to the zenith of the captured image, leading to misalignment issues.
Innovation Solution
An image processing apparatus that selects a polyhedron type and placement position, converts image coordinates to ensure the zenith of the captured image is aligned with the topmost point of the polyhedron, and generates an output image for printing, allowing the polyhedron to be constructed with the zenith correctly positioned.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If conventional coordinate conversion methods are used to create polyhedron developments from captured images, then the development can be generated, but the topmost point of the polyhedron does not correspond to the zenith of the captured image, causing misalignment
Solution Approach 1:
The patent applies preliminary action by pre-calculating and storing the correspondence relationships between polyhedron points (topmost points, vertex points, edge center points) and image coordinates for various polyhedron types. This pre-computed mapping data is stored in a table, allowing the system to quickly retrieve and apply the correct coordinate conversion without complex real-time calculations, thus achieving high alignment accuracy while maintaining system simplicity
Solution Approach 2:
The patent introduces an intermediary element - a pre-computed correspondence table that stores the mapping relationships between polyhedron points and image coordinates. This intermediary table acts as a mediator between the polyhedron geometry and the captured image coordinate system, enabling accurate coordinate conversion without requiring complex direct calculation algorithms, thereby resolving the contradiction between precision and complexity
2Adaptability or versatility
If the coordinate conversion system supports multiple polyhedron types and placement positions, then the adaptability improves, but the data storage requirements and system complexity increase
Solution Approach 1:
The patent applies segmentation by dividing the coordinate conversion data into separate correspondence tables for each polyhedron type (e.g., tetrahedron, hexahedron, octahedron, dodecahedron, icosahedron) and each placement position. This segmentation allows the system to store only the necessary data for each specific case rather than all possible combinations in a single large table, efficiently managing data storage while maintaining high adaptability
Solution Approach 2:
The patent implements partial action by providing correspondence data for specific polyhedron types and placement positions that are commonly used or required, rather than providing all possible combinations. The system allows users to select from available options, and only loads or stores the correspondence data for the selected polyhedron type and placement position, reducing overall data storage requirements while maintaining versatility for multiple configurations
Data Source
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AI summary
An image processing apparatus for coupling to an imaging apparatus that generates a captured image covering substantially a 360-degree field of view and for transmitting an output image to an image forming apparatus includes a setting unit configured to select a type of a polyhedron that is to be constructed by folding a development printed on a medium according to the output image, a converter configured to convert coordinates in the captured image into coordinates in the development that is to be printed on the medium and folded to construct the polyhedron, such that a zenith in the captured image is printed at a topmost point of the polyhedron constructed by folding the development printed on the medium, and an image generator configured to generate the output image based on the converted coordinates.