Abstract
Approximate geometric models, e.g. as created by reverse engineering, describe the approximate shape of an object, but do not record the underlying design intent. Automatically inferring geometric aspects of the design intent, represented by feature trees and geometric constraints, enhances the utility of such models for downstream tasks. One approach to design intent detection in such models is to decompose them into regularity features. Geometric regularities such as symmetries may then be sought in each regularity feature, and subsequently be combined into a global, consistent description of the model’s geometric design intent. This paper describes a systematic approach for finding such regularity features based on recovering broken symmetries in the model. The output is a tree of regularity features for subsequent use in regularity detection and selection. Experimental results are given to demonstrate the operation and efficiency of the algorithm.
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References
Bagali, S., Waggenspack, J.: A shortest path approach to wireframe to solid model conversion. In: Proc. 3rd ACM Symp. Solid Modeling and Appl., pp. 339–349 (1995)
Dong, X., Wozny, M.: A method for generating volumetric features from surface features. In: Proc. 1st ACM Symp. Solid Modeling and Appl., pp. 185–194 (1991)
Gao, C.H., Langbein, F.C., Marshall, A.D., Martin, R.R.: Local topological beautification of reverse engineered models. Computer-Aided Desisn 36(13), 1337–1355 (2004)
Han, J., Pratt, M., Regli, W.: Manufacturing feature recognition from solid models: a status report. IEEE Trans. Robotics and Automation 6(6), 782–796 (2000)
Inoue, K., Shimada, K., Chilaka, K.: Solid model reconstruction of wireframe CAD models based on topological embeddings of planar graphs. J. Mechanical Design 125(3), 434–442 (2003)
Kim, Y.: Convex decomposition and solid geometric modeling. PhD thesis, Starnford University, USA (1990)
Langbein, F.C., Mills, B.I., Marshall, A.D., Martin, R.R.: Approximate geometric regularities. Int. J. Shape Modeling 7(2), 129–162 (2001)
Langbein, F.C.: Beautification of reverse engineered geometric models. PhD thesis, Cardiff University, UK (2003)
Lequette, R.: Automatic construction of curvilinear solids from wireframe views. Computer-Aided Design 20(4), 171–179 (1988)
Leyton, M.: A Generative Theory of Shape. LNCS, vol. 2145. Springer, Heidelberg (2001)
Liu, S., Hu, S., Chen, Y., Sun, J.: Reconstruction of curved solids from engineering drawings. Computer-Aided Design 33(14), 1059–1072 (2001)
Lockwood, E., Macmillan, R.: Geometric symmetry. Mathematical Intelligence 6(3), 63–67 (1984)
Markowsky, G., Wesley, M.: Fleshing out wire frames. IBM J. Research and Development 24(5), 582–597 (1980)
Mills, B., Langbein, F., Marshall, A., Martin, R.: Approximate symmetry detection for reverse engineering. In: Proc. 6th ACM Symp. Solid Modeling and Appl., pp. 241–248 (2001)
Mills, B., Langbein, F., Marshall, A., Martin, R.: Estimate of frequencies of geometric regularities for use in reverse engineering of simple mechanical components. Tech. report GVG 2001-1, Dept. Computer Science, Cardiff University (2001)
Rappoport, A.: The extended convex differences tree (ECDT) representation for n-dimensional polyhedra. Intl. J. Comp. Geometry and Appl. 1(3), 227–241 (1991)
Regli, W.: Geometric algorithms for recognition of features from solid models. PhD thesis, University of Maryland, USA (1995)
Sakurai, H., Dave, P.: Volume decomposition and feature recognition, Part II: curved objects. Computer-Aided Design 28(6-7), 519–537 (1996)
Sandiford, D., Hinduja, S.: Construction of feature volumes using intersection of adjacent surfaces. Computer-Aided Design 33(6), 455–473 (2001)
Sashikumar, V., Milind, S.: Reconstruction of feature volumes and feature suppression. In: Proc. 7th ACM Symp. Solid Modeling and Appl., pp. 60–71 (2002)
Sashikumar, V., Milind, S., Rahul, R.: Removal of blends from boundary representation models. In: Proc. 7th ACM Symp. Solid Modeling and Appl., pp. 83–94 (2002)
Shapiro, V., Vossler, D.: Separation for boundary to CSG conversion. ACM Trans. Graphics 12(1), 35–55 (1993)
Sitharam, M., Oung, J.-J., Zhou, Y., Arbree, A.: Geometric constraints within feature hierarchies. Computer-Aided Design 38(1), 22–38 (2006)
Vandenbrande, J.: Automatic recognition of Machinable Features in Solid Models. PhD thesis, University of Rochester, USA (1990)
Varady, T., Martin, R., Cox, J.: Reverse engineering of geometric models - an introduction. Computer-Aided Design 29(4), 255–268 (1997)
Waco, D., Kim, Y.: Geometric reasoning for machining features using convex decomposition. Computer-Aided Design 26(6), 477–489 (1994)
Woo, Y., Sakurai, H.: Recognition of maximal features by volume decomposition. Computer-Aided Design 34(3), 195–207 (2002)
Woo, Y.: Fast cell-based decomposition and applications to solid modeling. Computer-Aided Design 35(11), 969–977 (2003)
Xu, X., Hinduja, S.: Recognition of rough machining features in \(2\frac{1}{2}\) components. Computer-Aided Design 30(7), 503–516 (1998)
Zhu, H., Menq, C.: B-rep model simplification by automatic fillet/round suppressing for efficient automatic feature recognition. Computer-Aided Design 34(2), 109–123 (2002)
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Li, M., Langbein, F.C., Martin, R.R. (2006). Constructing Regularity Feature Trees for Solid Models. In: Kim, MS., Shimada, K. (eds) Geometric Modeling and Processing - GMP 2006. GMP 2006. Lecture Notes in Computer Science, vol 4077. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11802914_19
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DOI: https://doi.org/10.1007/11802914_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-36711-6
Online ISBN: 978-3-540-36865-6
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