3D Mesh Bevel Transition Remeshing for Geometric Coherence
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Solution Overview
Problem
Existing CAD systems face challenges in achieving high-quality bevel transitions in 3D modeled objects, leading to geometric aberrations and unpredictable shapes, especially when increasing the resolution of bevels, which affects the design intent and overall geometry of the object.
Innovation Solution
A computer-implemented method that subdivides a base mesh based on selected edges, identifies a bevel pattern area, and remeshes the transition area to ensure a consistent and smooth transition between the bevel and the base surface, maintaining geometrical coherence and design intent by computing transition vertices and edges.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If the resolution of the bevel is increased (more cuts), then the quality of the bevel transition should improve, but geometric aberrations and mesh quality issues arise
Solution Approach 1:
The bevel transition area is segmented into multiple zones (first transition zone, second transition zone, and bevel zone) with different mesh densities and topologies. Each zone is independently optimized to maintain mesh quality while achieving high-resolution transitions, preventing geometric aberrations that would occur with uniform high-density meshing across the entire bevel.
Solution Approach 2:
Different regions of the bevel are assigned different mesh qualities and densities based on their specific requirements. The transition zones use optimized quadrangular meshing with controlled vertex valence, while the bevel zone uses appropriate triangulation. This local differentiation maintains overall mesh quality stability while achieving high transition quality where needed.
2Measurement precision
If the number of cuts in the bevel is increased, then the detail and resolution improve, but the transition area becomes unstable and unpredictable
Solution Approach 1:
The method pre-establishes a structured topology framework before performing the bevel operation. The base mesh is prepared with identified edge paths and planned transition zones, ensuring that subsequent high-resolution beveling operations maintain stability. This preliminary structural planning prevents the unpredictability that occurs when high-resolution bevels are applied to unprepared meshes.
Solution Approach 2:
The mesh topology is made adaptive and dynamic to accommodate varying numbers of cuts. The system automatically adjusts the distribution and connectivity of vertices and faces in transition zones based on the actual number of cuts required, maintaining stability regardless of the resolution level. This dynamic adaptation prevents the rigid structure failures that occur with fixed topology approaches.
3Manufacturing precision
If high-resolution bevels are applied, then the design intent is better captured, but the overall geometry coherence is perturbed
Solution Approach 1:
High-resolution detailing is applied locally in the bevel zones where design intent requires precision, while the overall geometry maintains its original coherence through preserved base mesh topology in non-bevel areas. The transition zones serve as buffers that gradually bridge the detailed bevel regions with the coarser base geometry, preventing perturbations from propagating throughout the entire model.
Solution Approach 2:
The model is segmented into distinct zones with different levels of detail and topology characteristics. The bevel zones capture design intent with high resolution, the transition zones maintain geometric coherence through optimized connectivity, and the base zones preserve the original geometry. This segmentation allows high-resolution detailing without compromising overall geometry coherence.
Data Source
Figure 1A~1B
Figure 1C~1E
Figure 2
AI summary
The disclosure notably relates to a computer implemented method for designing a 3D modeled object representing a manufacturing product. The method comprises obtaining a base mesh representing the 3D modeled object, selecting one or more connected edges of the base mesh, subdividing the base mesh based on the selected edges by obtaining a bevel pattern area over the selected path. The method obtains, for at least one of the two endpoints of the path, a transition area by grouping all faces sharing the at least one of the two endpoints of the path, except those of the computed bevel pattern area. The method remeshes the transition area by obtaining a transition vertex located in the transition area, and computing an edge connecting each vertex of the pair of vertices with the obtained transition vertex. The method outputs the subdivided base mesh. This improves the design of a 3D modeled object.