Manufacturing Technology 2019, 19(3):518-524 | DOI: 10.21062/ujep/322.2019/a/1213-2489/MT/19/3/518

Matlab-based Calculation Method for Partitioning a Free-form Surface into Regions

Tuong Nguyen Van1, Natasa Naprstkova2
1 Faculty of Mechanical Engineering, Nha Trang University, 02 Nguyen Dinh Chieu St., Nha Trang City, Vietnam
2 Faculty of Mechanical Engineering, University of Jan Evangelista in Ústí nad Labem, Pasteurova 3334/7, 400 01 Usti nad Labem. Czech Republic

A Matlab-based calculation method which can be used to partition a free-form surface into regions is presented in this paper. Based on surface curvatures and Freeman chain code technique, a free-form surface can be devided into convex, concave and saddle regions. A Matlab program containing some M-function and script files was developed to create the mathematical model of the free-form surface, calculate the surface properties, and find the points on the boundaries of the regions. Two surfaces were given as examples to show that the program runs well and output of the program was used to create the CAD (Computer Aided Design) model of the partitioned surface in Creo Parametric.

Keywords: Surface Partitioning, Free-form Surface, Matlab Programming, Surface Curvature
Grants and funding:

Nha Trang University, Vietnam
Project ESF No. CZ.1.05/4.1.00/11.0260 EDIMARE.

Published: June 1, 2019  Show citation

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Van TN, Naprstkova N. Matlab-based Calculation Method for Partitioning a Free-form Surface into Regions. Manufacturing Technology. 2019;19(3):518-524. doi: 10.21062/ujep/322.2019/a/1213-2489/MT/19/3/518.
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    References

    1. DOVICA, M., BUSA J., SPISAK, E., FABIAN, M., IZOL, P., FABIANOVA, J. (2016). Assessment of complex free form surfaces with surface profile deviation. In: Manufacturing Technology, Vol. 16, No. 4, pp. 673-680. FME JEPU. Czech Republic. Go to original source...
    2. SHIV, J.K., GAIN, S.K., SAHU, L.K. (2016). Partitioning of a freeform surface for machining with optimized tool path. In: International Journal of Innovative Science, Engineering & Technology, Vol. 3, No. 7, pp. 10-23. IJISET. India.
    3. ROGERS, D.F. (2001). An introduction to NURBS with historical perspective. Morgan Kaufmann Publishers, San Francisco.
    4. DOVICA, M., BU©A, J., SPISAK, E., FABIAN, M., IZOL, I., FABIANOVA, J. (2016) Assessment of Complex Free Form Surfaces with Surface Profile Deviation. In: Manufacturing Technology, Vol. 16, No. 4, pp. 673-680. FME JEPU. Czech Republic. Go to original source...
    5. XU, J., LUO, S., CHEN, S.X. (2016) Numerical Control Simulation and Experimental Study on End Milling Ordinary Cycloidal Gear in Five-axis CNC Machine Tool. In: Manufacturing Technology, Vol. 16, No. 6, pp. 1388-1393. FME JEPU. Czech Republic. Go to original source...
    6. ELBER, G., COHEN, E. (1993). Second order surface analysis using hybrid symbolic and numeric operators. In: Transactions on Graphics, Vol. 12, No. 2, pp. 160-178. ACM. China. Go to original source...
    7. GIRI, V., BEZBARUAH, D., BUBNA, P., CHOUDHURY, A.R. (2005). Selection of master cutter paths in sculptured surface machining by employing curvature principle. In: International Journal of Machine Tools and Manufacture, Vol. 45, No. 10, pp. 1202-1209. Elsevier. Niederland. Go to original source...
    8. CHEN, Z.C., DONG, Z., VICKERS, G.W. (2003). Automated surface subdivision and tool path generation for 31/21/2-axis CNC machining of sculptured parts. In: Computers in Industry, Vol. 50, No. 3, pp. 319-331. Elsevier. Niederland. Go to original source...
    9. ROMAN, A, BEDI, S., ISMAIL, F. (2006). Three-half and half-axis patch-by-patch NC machining of sculptured surfaces. In: International Journal of Advanced Manufacturing Technology, Vol. 29, No. 5-6, pp. 524-531. Springer. Germany. Go to original source...
    10. ROMAN, A., BAROCIO, E., HUEGEL, J.C., BEDI, S. (2015). Rolling ball method applied to 31/21/2-axis machining for tool orientation and positioning and path planning. In: Advances in Mechanical Engineering, Vol. 7, No.12, pp. 1-12. SAGE Publishing. UK. Go to original source...
    11. YOU, S.K., LUI, X.C., DENG, H.G., LIU, J. (2012). A novel 5-axis machining method for sculptured surface. In: Advanced Materials Research, Vols. 562-564, pp. 855-860. TTP. Switzerland. Go to original source...
    12. LIU, Y., ZHAO, G., ZAVALNYI, O., XIAO, W. (2019). Tool path generation for partition machining of T-spline surface based on local refinement. In: International Journal of Advanced Manufacturing Technology, February2019, pp. 1-14. SJR. Germany.
    13. BEY, M., BENDIFALLAH, M., KADER, S., BOUKHALFA, K. (2008). Cutting tool combination and machining strategy affectation based on the determination of local shapes for free form surfaces. In: Proceeding of International Conference on Smart Manufacturing Application, pp. 120-125. Goyang-Si, South Korea. Go to original source...
    14. LI, L.L., ZHANG, Y.F. (2004). Cutter selection for 5-axis milling based on surface decomposition. In: 8th International Conference on Control, Automation, Robotics and Vision, Kunming, China, Vol. 3, pp. 1863-1868. China. Go to original source...
    15. LI, L.L., ZHANG, Y.F. (2005). Flat-end cutter accessibility determination in 5-axis milling of sculptured surfaces. In: Computer-Aided Design & Applications, Vol. 2, No. 1-4, pp. 203-212. Taylor & Francis, England.
    16. LI, L., CHEN, B., LIU, F., LI, C. (2014). Complexity analysis and calculation for sculptured surface in multi-axis CNC machining based on surface subdivision. In: International Journal of Advanced Manufacturing Technology, Vol. 71, pp.1433-1444. Springer. Germany. Go to original source...
    17. LIU, X., LI, Y., MA, S., LEE, C.H. (2015). A tool path generation method for freeform surface machining by introducing the tensor property of machining strip width. In: Computer-Aided Design, Vol. 66, Issue C, pp. 1-13. Eelsevier. Niederland. Go to original source...
    18. TUONG, N.V., POKORNY P. (2010). A practical approach for partitioning free-form surfaces. In: International Journal of Computer Integrated Manufacturing, Vol. 23, No. 11, pp.992-1001. Taylor & Francis, England. Go to original source...
    19. SHIV, J.K., GAIN, S.K., SAHU, L.K. (2016). Partitioning of a Freeform Surface for Machining with Optimized Tool Path. In: International Journal of Innovative Science, Engineering & Technology, Vol. 3, No. 7, pp. 10-23. IJISET. India.
    20. SONKA, M., HLAVAC, V., BOYLE, R. (2008). Image processing, analysis, and machine vision. Thompson Learning, Toronto, Canada.
    21. GONZALEZ, C.R., WOODS, R.E., EDDINS, S.L. (2004) Digital image processing using Matlab. Pearson Prentice Hall. New York. USA.

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