Computer Science ›› 2022, Vol. 49 ›› Issue (6A): 764-770.doi: 10.11896/jsjkx.210400050

• Interdiscipline & Application • Previous Articles     Next Articles

Model Medial Axis Generation Method Based on Normal Iteration

ZONG Di-di, XIE Yi-wu   

  1. College of Information Science and Technology,Dalian Maritime University,Dalian,Liaoning 116026,China
  • Online:2022-06-10 Published:2022-06-08
  • About author:ZONG Di-di,born in 1995,postgraduate.Her main research interests include computer-aided design and graphics.
    XIE Yi-wu,born in 1965,associate professor.His main research interests include database and information system,and data mining.
  • Supported by:
    National Science Foundation for Youth(61702074).

Abstract: As the dimensionality reduction representation of model,the medial axis has been widely used in many engineering fields because of its good performance.At present,the method of generating the medial axis of the model is mainly based on the idea of approximating the medial axis,or the quality of the medial axis is not high,or the calculation time cost is high.As a result,a method of generating model medial axis based on normal iteration is proposed.The normal iteration method first discretizes the model into a triangular mesh model,and then performs GPU parallel tracking calculations based on the definition of the medial axis on the sample points and triangular faces.After multiple normal iterations,the medial axis points corresponding to all sample points are obtained.Finally,connecting the corresponding medial axis points according to the topological connectivity of the sample points to obtain the medial axis of the model.Experiment results show that the method can generate the model medial axis relatively quickly and accurately under different models,which verifies that the method improves the time efficiency and accuracy of the medial axis generation.

Key words: Definition of medial axis, GPU parallel, Iteration, Normal, Quality of medial axis

CLC Number: 

  • TP391.41
[1] LIANG Y,HU P,WANG S,et al.Medial axis extraction algorithm specializing in porous media[J].Powder Technology,2019,343:512-520.
[2] MIAO Y W,CHENG C,SUN Y L,et al.Skeleton extraction of mesh model based on maximum inscribed sphere fitting[J].Chinese Journal of Computer Aided Design and Graphics,2018,30(10):1801-1809.
[3] SPADAFORA J B,GOMEZ-FERNANDEZ F,TAUBIN G.Fast Non-Convex Hull Computation[C]//2019 International Confe-rence on 3D Vision(3DV).IEEE,2019:747-755.
[4] MING L U O,CE H A H,HAFEEZ H M.Four-axis trochoidal toolpath planning for rough milling of aero-engine blisks[J].Chinese Journal of Aeronautics,2019,32(8):2009-2016.
[5] CHANG J S.Representation and application of axis transformation for 3D deformable objects [D].Ningbo:Ningbo University,2017.
[6] ZHONG Y J.Summary of axis extraction methods[J].Journal of Computer Aided Design and Graphics,2018,30(8):14-32.
[7] BRUNNER D,BRUNNETT G.Mesh segmentation using theobject skeleton graph[EB/OL].[2017-07-15].https://www.mendeley.com/research-papers/mesh-segmentation-using-object-keleto.
[8] YAN Y,SYKES K,CHAMBERS E,et al.Erosion thickness onmedial axes of 3D shapes[J].ACM Transactions on Graphics(TOG),2016,35(4):1-12.
[9] ZHANG F,CHEN X,ZHANG X.Parallel thinning and skele-tonization algorithm based on cellular automaton[J].Multi-media Tools and Applications,2020,79(43):33215-33232.
[10] ZHONG Y,CHEN F.Computing medial axis transformations of 2D point clouds[J].Graphical Models,2018,97:50-63.
[11] KUSMAKAR S,MUTHUGANAPATHY R.Skeletal approach to mandible reconstruction represented as an image[J].Compu-ter-Aided Design and Applications,2015,12(5):639-650.
[12] MAKEM J E,FOGG H J,MUKHERJEE N.Medial Axis Based Bead Feature Recognition for Automotive Body Panel Meshing[C]//International Meshing Roundtable.Cham:Springer,2018:109-128.
[13] SHI C W,ZHAO J Y,CHANG J S.Skeleton feature extraction algorithm based on central axis transformation[J].Computer Engineering,2019(7):242-250.
[14] CHEN X D,MA W.A competition flow method for computing medial axis transform[J].Journal of Computational and Applied Mathematics,2018,340:342-359.
[15] SUN F,CHOI Y K,YU Y,et al.Medial meshes-a compact and accurate representation of medial axis transform[J].IEEE Transactions on Visualization and Computer Graphics,2015,22(3):1278-1290.
[16] YAN Y,LETSCHAR D,JU T.Voxel cores:Efficient,robust,and provably good approximation of 3d medial axes[J].ACM Transactions on Graphics(TOG),2018,37(4):1-13.
[17] WAGNER M G.Real-time thinning algorithms for 2D and 3D images using GPU processors[J].Journal of Real-Time Image Processing,2019:1-12.
[18] SAHA P K,BORGEFORS G,DI BAJA G S.A survey on skeletonization algorithms and their applications[J].Pattern Recognition Letters,2016,76:3-12.
[19] REBAIN D,ANGLES B,VALENTIN J,et al.LSMAT least squares medial axis transform[J].Computer Graphics Forum,2019,38(6):5-18.
[20] ZHU H S,BAO X S,ZHU C Y,et al.Parallel shape axis extraction algorithm based on binormal tracking[J].Computer Engineering and Design,2021,42(1):175-181.
[21] LI Z.Mesh generation and planarization of quadrilateral building with free form surface [D].Hangzhou:Zhejiang University,2019.
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