3D Body Texture Mapping via Elliptical Arcs
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Solution Overview
Problem
Existing textile design mapping technologies face difficulties in accurately mapping textures onto 3D body images, especially when the image does not face forward, making it hard to input mesh patterns and adjust pixel density uniformly.
Innovation Solution
A mapping device and method that generates mapping conditions by storing the centerline and nearest point of a base image, allowing for parallel extension of the nearest point, and using elliptic arcs to adjust pixel density, ensuring realistic perspective mapping even when the base image faces diagonally.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If mesh patterns are inputted imagining the 3D space of the body to express perspective, then the mapping accuracy is improved, but the ease of operation deteriorates because it is difficult to imagine the 3D space
Solution Approach 1:
The patent introduces an intermediary coordinate system that serves as a mediator between the 2D input interface and the 3D mapping target. By defining a coordinate system with origin at the nearest point and axes aligned with the centerline and width direction, the system translates complex 3D spatial reasoning into simple 2D coordinate operations, making mapping accessible without requiring users to mentally construct 3D space
Solution Approach 2:
The patent transforms the mapping problem from a geometric 3D spatial reasoning task into a parameter-based 2D coordinate transformation task. By changing the parameter representation from 3D mesh coordinates to 2D coordinates based on nearest point, centerline, and width, the system maintains mapping accuracy while dramatically simplifying the operational complexity
2Adaptability or versatility
If the image of the body faces diagonally, then the adaptability of the mapping system is improved, but the difficulty of detecting and measuring increases
Solution Approach 1:
The patent handles diagonal orientations by changing the parameter definition of the coordinate system rather than requiring complex rotational transformations. The origin is set at the nearest point, and the axes are defined relative to the object's orientation (centerline and width direction), allowing the system to adapt to any diagonal angle while maintaining simple 2D coordinate measurements
3Ease of operation
If pixel density is adjusted uniformly across the mapping area, then the ease of operation is improved, but the manufacturing precision deteriorates because realistic perspective requires variable pixel density
Solution Approach 1:
The patent implements local quality by allowing different pixel density characteristics in different regions of the mapping area. The coordinate system enables independent control of pixel density along the centerline direction versus the width direction, allowing realistic perspective distortion (lower density at nearest point, higher density at both ends) while maintaining simple operational control through the coordinate definition
Data Source
AI summary
The center line and lines at the right and left end parts are inputted to a base image from which a texture image is to be mapped, and a position of the base image closest to the view point is inputted as a point closest to the user. Right side of the point closest to the user of the body is approximated by one quarter of circle, and the left side is approximated by another quarter of circle so as to generate an elliptical arc representative of the horizontal cross-sectional shape of the body. The texture image is then mapped to the body using that elliptical arc. Thus mapping of the texture image to the body can be performed easily.