Kuduev A.Zh., Esharov E.A., Arkabaev N.K.

UDC 625.7:519.6

ALTYNBEK Zh. KUDUEV, Senior Lecturer,

gold_oshsu@rambler.ru

ELZARBEK A. ESHAROV, PhD, A/Professor,

elzare78@rambler.ru

NURKASYM K. ARKABAEV, Senior Lecturer,

nurkasym_2002@rambler.ru

Tomsk State University of Architecture and Building,

2, Solyanaya Sq., 634003, Tomsk, Russia

VISUALIZATION  OF  ROADS  LASER  SCANNING  DATA  APPLYING  ORTHOGONAL  GHM-MULTI  WAVELET  TRANSFORM

The paper presents orthogonal Geronimo, Hardin, and Massopust (GHM) multi-wavelet transform for processing regular signals and three-dimensional fields. The hard and software for GHM multi-wavelets is suggested based on a graphic processor. The application package algorithms are described for data processing and visualization of automobile road laser scanning using large-scale analysis and synthesis of two-dimensional objects.

Keywords: multiscale function; multi-wavelet; orthogonality; data processing.

References

  1. Tursunov D.A., Shumilov B.M., Baigulov A.N., Kolupaeva S.N. Predvaritel'naja obrabotka materialov lazernogo skanirovanija avtomobil'nyh dorog [Preliminary data processing of roads laser scanning]. Vestnik of Tomsk State University of Architecture and Building. No. 3. 2011.Рp. 184–191. (rus)
  2. Degtyarev V. Komp'yuternaya geometriya i grafika [Computer geometry and graphics]. Moscow : Publishing Center Academia. 2010. 192 p. (rus)
  3. Bekmuratov A.T., Onopenko G.A., Kuduev A.Zh., Shumilov B.M., Esharov E.A. Veivlet-preobrazovanie i szhatie dannykh lazernogo skanirovaniya avtomobil'nykh dorog [Wavelet-transform and data compression of road laser scanning]. Vestnik of Tomsk State University of Architecture and Building. No. 4. 2011.Рp. 184–191. (rus)
  4. Pereberin A.V. Mnogomasshtabnye metody sinteza i analiza izobrazhenii [Large-scale methods for image synthesis and analysis]. Moscow : Keldysh Institute of Applied Mathematics. 2002. 138 p. (rus)
  5. Daubeshies I. Desyat' lektsii po veivletam [Ten lectures on wavelets]. Izhevsk : NIC ‘Reguljarnaja i haoticheskaja dinamika’, 2001. 332 p. (transl. from Engl.)
  6. Strela V. Multiwavelets: Theory and Applications. Massachusetts Institute of Technology, 1996. 99 p. Submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics.
  7. Geronimo J., Hardin D., Massopust P. Fractal functions and wavelet expansions based on several scaling functions, J. Approx. Theory. 78 (1994) 373–401.
  8. Rodgers H. Algoritmicheskie osnovy mashinnoi grafiki [Algorithmic foundations of computer graphics]. (Rus. ed.: Rodgers H. Algoritmicheskie osnovy mashinnoi grafiki. Moscow : Mir, 1989. Pp. 512).
  9. William H. Press. Numerical recipes in C: the art of scientific computing. Cambridge: Cambridge University Press, 1997. 994 p.
  10. Kharlamov A.A., Boreskov A.V. Osnovy raboty s tekhnologiei CUDA[Guidelines for CUDA technology]. Moscow : DMK-Press. 2010. 231 p.
  11. GPU gems: programming techniques, tips, and tricks for real-time graphics. Ed. R. Fernando. Boston: Addison-Wesley, 2004. 765 p.
  12. Fernando R., Pharr, M., Nguyen H., et al. GPU gems 2. Boston : Addison-Wesley, 2007. 880 p.

Full text | (394 Кб)