3D Mesh Simplification via Offset Tile Vertex Reduction
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Solution Overview
Problem
Traditional approaches to simplifying three-dimensional models in geographic information systems are insufficient in reducing the number of vertices, leading to inefficiencies in storage, processing, and rendering.
Innovation Solution
A method that divides a three-dimensional mesh into tiles, reduces vertices towards the center of each tile while maintaining perimeter vertices, and assembles them to create a simplified mesh, with subsequent division and simplification passes to further reduce complexity, ensuring seamless rendering.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Quantity of substance
If traditional approaches are used to simplify three-dimensional models, then the model structure is maintained, but the number of vertices is insufficiently reduced
Solution Approach 1:
The three-dimensional mesh is divided into multiple tiles along boundary lines, allowing independent simplification of each tile. This segmentation enables more aggressive vertex reduction within each tile while maintaining overall model integrity through controlled boundary vertex preservation.
Solution Approach 2:
Different simplification strategies are applied to different regions: interior vertices of tiles are reduced toward centers, while boundary vertices are maintained to preserve model accuracy at tile interfaces. This local differentiation allows maximum vertex reduction without sacrificing overall model fidelity.
2Quantity of substance
If multiple simplification passes are applied, then vertex reduction is enhanced, but processing time increases
Solution Approach 1:
The mesh is pre-divided into tiles with identified boundary lines before simplification begins. This preliminary organization enables parallel processing of multiple tiles across different simplification passes, reducing overall processing time despite multiple passes being applied.
Solution Approach 2:
Multiple simplification passes are applied in periodic cycles, with each pass reducing vertices further while maintaining boundary constraints. The periodic application allows systematic vertex reduction without requiring all vertices to be processed simultaneously, optimizing processing efficiency.
Data Source
AI summary
An exemplary method for simplifying the geometry of a three-dimensional mesh includes dividing a first three-dimensional mesh into a first plurality of tiles along initial boundary lines. The method also includes for at least one tile of the first plurality of tiles, reducing the vertices toward a center of the tile while maintaining vertices along a perimeter of the tile, and assembling the first plurality of tiles to determine a second three-dimensional mesh. The method also includes dividing the second three-dimensional mesh into a second plurality of tiles along boundary lines offset from the initial boundary lines. The method further includes for at least one tile of the second plurality of tiles, reducing the vertices toward a center of the tile while maintaining vertices along a perimeter of the tile, and assembling the second plurality of tiles to determine a simplified three-dimensional mesh.