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OffsetCrust: Variable-Radius Offset Approximation With Power Diagrams
Summary
OffsetCrust efficiently computes variable-radius offset surfaces using power diagrams, improving geometry processing tasks like surface reconstruction. This novel framework enhances accuracy and addresses common misalignment issues in offset surface generation.
Area of Science:
- Computational Geometry
- Computer Graphics
- Geometric Modeling
Background:
- Offset surfaces are essential in geometry processing, with applications in motion planning and modeling.
- Computing constant-radius offset surfaces is well-established, but variable-radius offset surfaces remain a significant challenge.
Purpose of the Study:
- To present OffsetCrust, a novel framework for efficiently computing variable-radius offset surfaces.
- To address limitations in existing methods, particularly misalignment issues in crust-based approaches.
Main Methods:
- Constructing a power diagram from carefully sampled base points and corresponding off-surface points.
- Utilizing a radius function (R) and R-dependent displacement directions.
- Implementing a lightweight fine-tuning procedure to mitigate misalignment.
Main Results:
- OffsetCrust efficiently computes accurate variable-radius offset surfaces.
- The method successfully mitigates misalignment issues prevalent in other crust-based techniques.
- Experimental validation confirms the framework's accuracy and efficiency.
Conclusions:
- OffsetCrust provides an effective solution for the challenging problem of variable-radius offset surface computation.
- The framework demonstrates practical utility in applications such as reconstructing surfaces from medial axis transforms (MAT).
- This work advances the state-of-the-art in geometry processing and computational modeling.
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