3D Surface Element Placement for Dense Pore Layouts
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Solution Overview
Problem
The challenge in additive manufacturing lies in efficiently designing and placing design elements, such as pores, on 3D surfaces for molded fiber tooling, which affects the production efficiency and quality of molded fiber packaging, as existing methods lack a computationally efficient approach to optimize these placements considering curvature features and mapping distortions.
Innovation Solution
A 3D-to-2D-to-3D approach is employed, where a 3D surface is mapped to a 2D plane for initial design element placement optimization, using a spring model and shape-smoothing module to refine the placement back to 3D, ensuring maximum density and minimum separation distance while accounting for curvature and distortion.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If design elements are placed directly on 3D surfaces using traditional methods, then placement can be achieved, but computational efficiency is low and optimization considering curvature features and mapping distortions is insufficient
Solution Approach 1:
The patent segments the complex 3D placement problem into distinct phases: (1) mapping 3D surface to 2D parameter space, (2) performing initial placement optimization in 2D, and (3) mapping back to 3D with refinement. This segmentation allows each phase to be optimized independently, improving computational efficiency while maintaining placement accuracy through the coordinated execution of phases.
Solution Approach 2:
The patent introduces a 2D parameter space as an intermediary between the 3D surface and the final placement. This intermediary space simplifies the computational complexity of direct 3D placement by providing a flattened domain where optimization algorithms can operate more efficiently, while curvature and distortion corrections ensure accuracy is preserved when mapping back to 3D.
2Quantity of substance
If design elements are densely packed on 3D surfaces, then density is maximized, but separation distance constraints may be violated due to curvature and mapping distortions
Solution Approach 1:
The patent applies local quality by performing curvature-based adjustment that modifies placement locally according to the specific geometric properties of each region. Areas with high curvature or significant mapping distortion receive localized adjustments to maintain separation distance constraints, while regions with low curvature maintain higher density. This allows maximum overall density while ensuring separation constraints are satisfied locally where needed.
Solution Approach 2:
The patent implements a feedback mechanism where the curvature and distortion characteristics of the 3D surface are analyzed, and this information feeds back into the placement optimization process. The curvature map and distortion measurements guide the adjustment of element positions and sizes, creating a closed-loop system that continuously ensures separation distance constraints are met while maintaining high density.
3Device complexity
If traditional placement methods are used without considering curvature features, then placement is simpler, but the quality and strength of molded fiber products are reduced
Solution Approach 1:
The patent changes key parameters of the placement method by incorporating curvature-based adjustment and distortion correction into the placement algorithm. Instead of using uniform spacing, the system dynamically adjusts element positions and sizes based on local curvature and mapping distortion parameters. This increases method complexity but significantly improves product strength by ensuring optimal pore distribution that accounts for the actual 3D geometry.
Data Source
AI summary
Examples of design element placement on 3D surfaces are described herein. In some examples, a three-dimensional (3D) mesh of a 3D surface is converted to a two-dimensional (2D) surface. In some examples, placement of design elements on the 2D surface is determined to maximize density of the design elements while satisfying a minimum separation distance between the design elements. In some examples, the design element placement on the 2D surface is converted to the 3D surface.