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Rigid Surface Matching by Shape Analysis and Correspondences Filtering
Peng Wei,Ji Weixi,Chen Wenliang,Shao Kun 한국정밀공학회 2018 International Journal of Precision Engineering and Vol.19 No.9
Surface matching technology, as a fundamental part of computer graphics, has a wide range of applications in engineering domain. In this paper, we propose a novel matching method for best fitting a given source model onto a target model by a combination of the following: point clustering, region similarity matching and correct pairing searching. Mesh segmentation is used to aggregate points into several sub-regions, and then paired regions are obtained by distance distribution. An indirect searching strategy is presented, in which bad paired triples are removed by filtering operation and the remaining candidates are traversed until the correct pairing is found. Experimental results on a variety of mechanical models demonstrate that our method exhibits high reliability and robustness for automatic shape alignment.
Free-Form Surface Flattening Based on Rigid Registration and Energy Optimization
Peng Wei,Qiao Kai,Bao Yidong,Zhang Chaoyang,Ji Weixi 한국정밀공학회 2022 International Journal of Precision Engineering and Vol.23 No.8
Fundamental technology of Computer Aided Design, free-form surface flattening is important for both practical and scientific point of view in mechanical engineering. This paper proposed a flattening algorithm by using a local rigid registration and a global energy optimization. Firstly, each 3D element is aligned to the plane by minimizing the distance between the original 3D element and its corresponding planar element. Then, a global optimization operator is used to stitch and optimize these best-aligned local elements by iteratively minimizing a quadratic energy function composed of linear elastic energy, which makes the internal force of the nodes reach the equilibrium state. The experimental results show that this method is stable and reliable, and can obtain good surface flattening effect under free boundary conditions.