Abstract
Point cloud data acquisition is the first key step in digital copying manufacture. In order to reduce extremely dense acquired data while maintaining data accuracy, this paper presents a simple and practical on-line point cloud data reduction method for digital copying manufacture, which is based on Akima spline interpolation. The basic idea of this method is similar to sketch painting: Outline the broad contour of the curve first and then revise local details until the interpolated curve satisfies the required accuracy. In this method, Akima spline interpolation is adopted to connect acquired points for CNC machining in digital copying process. It obtains a smaller data reduction ratio and a smoother machined surface than conventional methods. Experimental results indicate that the proposed Akima reduction method is able to eliminate redundant data effectively under different required accuracy. The reduction performance of this method is superior to equal ATCD reduction method obviously under the same required accuracy. The proposed method can be used in the real-time data acquisition process of digital copying manufacture to replace traditional methods.
Similar content being viewed by others
References
Fischer A, Park S (1999) Reverse engineering: multilevel-of-detail models for design and manufacturing. Int J Adv Manuf Technol 15(8):566–572
FANUC Ltd (1989) Description manual of FANUC series 15-MA-copying/digitizing function, B-61534/04 (in Japanese)
Liu S-X (2006) Digital copying control system and 3D surface tracking measurement technology. Msd Dalian Univ Technol (in Chinese)
Lu J-C, Hu L-J, Yang J-K, Qiao X-L (1998) Numerical and copying control system for milling grooves of huge rocket jet. J Dalian Univ Technol 38(3):296–299
Jia Z-Y, Lu X-H, Wang W, Yang J-Y (2010) Data sampling and processing for contact free-form surface scan-tracking measurement. Int J Adv Manuf Technol 46(1–4):237–251
Jia Z-Y, Lu X-H, Yang J-Y (2010) Self-learning fuzzy control of scan-tracking measurement in copying manufacture. Trans Inst Meas Control 32(3):307–318
Chen Y-H, Ng C-T, Wang Y-Z (1999) Data reduction in integrated reverse engineering and rapid prototyping. Int J Comp Integ Manuf 12(2):97–103
Martin P-R, Stroud I-A and Marshall A-D (1996) Data reduction for reverse engineering. RECCAD, Deliverable Document 1, COPERUNICUS project, No. 1068, Computer and Automation Institute of Hungarian Academy of Science
Hamann B (1994) A data reduction scheme for triangulation surfaces. Comp Aided Geom D 11(2):197–214
Hamann B, Chen J (1994) Data point selection for piecewise linear curve approximation. Comput Aided Geom D 11(3):289–301
Lee K-H, Woo H, Suk T (2001) Data reduction methods for reverse engineering. Int J Adv Manuf Technol 17(10):735–743
Chuang C-M, Chen C-Y, Yau H-T (2002) A reverse engineering approach to generating interference-free tool paths in three-axis machining from scanned data of physical models. Int J Adv Manuf Technol 19(1):23–31
Siemens Ltd (2006) User’s manual of sinumerik 840D sl/840Di sl/840D/840Di/810D job planning
Piegl L (1991) On NURBS—a survey. IEEE Comput Graph Appl 11(1):55–71
Akima H (1970) A new method of interpolation and smooth curve fitting based on local procedures. J ACM 17(4):590–602
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, YQ., Tao, Y., Zhang, HJ. et al. A simple point cloud data reduction method based on Akima spline interpolation for digital copying manufacture. Int J Adv Manuf Technol 69, 2149–2159 (2013). https://doi.org/10.1007/s00170-013-5195-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-013-5195-3