Construction of complex non-uniform rational B-spline volume parametric models with G¹ continuity

Area of Science:

• Computer-Aided Design (CAD)
• Geometric Modeling
• Computational Geometry

Background:

• Complex volumetric parametric model construction is a significant challenge in integrated design and simulation.
• Existing methods often result in lower model quality and hinder downstream analysis.
• Achieving higher-order continuity is crucial for robust geometric representations.

Purpose of the Study:

• To propose an innovative method for enhancing the continuity of complex volumetric parametric models.
• To improve the quality and simplify the modeling process for volumetric models.
• To enable seamless integration with simulation and analysis workflows.

Main Methods:

• Generation of G0/C0-continuous volumetric models using creation or recreation approaches based on input type.
• Development of a novel data structure for storing control-point indices and topological relationships.
• Formulation of continuity conditions and systems of equations to determine control points for G1 continuity.
• Implementation of an algorithm for automatic sorting, storing, and adjusting control points.

Main Results:

• A method to achieve G1 continuity in complex volumetric parametric models is successfully developed.
• The proposed approach effectively improves model quality and simplifies construction.
• The enhanced models are more suitable for subsequent analysis and processing.

Conclusions:

• The developed method significantly enhances the continuity of volumetric parametric models.
• This innovation addresses a key bottleneck in integrated design and simulation.
• The improved models facilitate more accurate and efficient engineering analyses.