Adaptive Spline Surface Fitting With Arbitrary Topological Control Mesh.

Area of Science:

• Computer-aided design and engineering
• Geometric modeling
• Surface reconstruction

Background:

• Reconstructing spline surfaces from arbitrary topological triangle meshes is a significant challenge.
• Existing methods struggle with complex mesh topologies and preserving sharp features.

Purpose of the Study:

• To introduce a novel surface fitting method using G-NURBS for arbitrary topological triangle meshes.
• To achieve high fitting accuracy while preserving geometric features like edges and corners.
• To reduce the number of control points required for surface reconstruction.

Main Methods:

• Utilizing Generalized Non-Uniform Rational B-Splines (G-NURBS) for surface fitting.
• Employing adaptive control point adjustment based on input model geometry.
• Implementing a parameter correspondence approach for sharp features.
• Using control mesh iterative refinement with geometrical feature information.

Main Results:

• The G-NURBS method successfully reconstructs spline surfaces from meshes with arbitrary topologies.
• The method accurately preserves sharp geometric features, including edges and corners.
• Fewer control points are needed compared to traditional methods, enhancing efficiency.
• Evaluations on various CAD models demonstrate high fitting accuracy and feature preservation.

Conclusions:

• The proposed G-NURBS based method offers an effective solution for spline surface reconstruction from complex triangle meshes.
• This approach enhances precision and efficiency in computer-aided design and engineering applications.
• Faithful preservation of geometric features is achieved with a reduced control point count.