Abstract

Trimmed surfaces have been widely used in complicated product design in mechanical engineering especially in complex free form surface models of CAD/CAM/CAE. Focusing on the deficiencies of the algorithms available in published literatures when handling some intricate situations, this paper proposes a more general and efficient algorithm of trimmed surface rendering (ATSR). The ATSR is a general algorithm that can deal with most intricate situations, which frequently occur in practical engineering that no special attention has been paid to in references at hand, as well as common situations. Furthermore, this paper presents a new algorithm for the nodes of polygon connecting into elements (ANCE). The ANCE can handle most tricky polygons appearing in the process of rendering and achieve successful triangulation for the to-be-rendered surface. Preferable results are obtained in the case studies, which indicate that the algorithms (ATSR and ANCE) are efficient and effective in handling complicated as well as common trimmed surface models in real engineering industry.

Highlights

  • Free form curves and surfaces are widely used in mechanical engineering and Computer Aided Design (CAD)

  • Preferable result is obtained through case studies, which indicates that the algorithms (ATSR and ANCE) are efficient and effective in rendering complicated trimmed surface models in CAD and mechanical industry

  • This paper proposes a general and efficient algorithm of trimmed surface rendering(ATSR), aiming at eliminating possible deficiencies of the published algorithms in handling some special intricate situations of trimmed surface models, which are not scarce in practices

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Summary

Introduction

Free form curves and surfaces are widely used in mechanical engineering and Computer Aided Design (CAD). The product models are usually conveyed and stored in neutral file formats like IGES or other file standards for the communications among different CAX systems. The widely used IGES file usually contains large amounts of trimmed surface data and the parsing of such data is a main task in data exchange. Whence the IGES file has been translated into mechanical engineering software, the trimmed surface rendering becomes the prerequisite for further work. We put forward a general and efficient algorithm of trimmed surface rendering capable of handling these intricate situations that are frequently encountered in real engineering industry

Related work
General Description of ATSR
Self-adaptive subdivision of trimmed curves and inverse computations
Self-adaptive subdivision of trimmed surface
Situation classification and subdivision
The algorithm of sorting the nodes according to different situations
Implementation and results
Conclusion
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