Ray tracing synthesis of images of triangulated surfaces smoothed by the spherical interpolation method
Abstract
Keywords
Full Text:
PDFReferences
Hughes, F. J., Andries, V. D., Morgan, M., David, F. S., James, D. F., Steven, K. F., Kurt, A. (2014). Computer Graphics. Principles and practice. Addison-Wesley Publishing Company, Inc., 1209.
Hurley, J. (2005). Ray Tracing Goes Mainstream. Understanding the Platform Requirements of Emerging Enterprise Solutions, 9 (2). doi: https://doi.org/10.1535/itj.0902.01
Romaniuk, O. N., Obidnyk, M. D., Melnykov, O. M. (2012). Sproshchennia protsedury vyznachennia vektoriv iz vykorystanniam sferychno-kutovoi interpoliatsiyi. Reiestratsiya, zberihannia i obrobka danykh, 14 (2), 14–24.
Efremov, A., Havran, V., Seidel, H.-P. (2005). Robust and numerically stable Bézier clipping method for ray tracing NURBS surfaces. Proceedings of the 21st Spring Conference on Computer Graphics – SCCG ’05. doi: https://doi.org/10.1145/1090122.1090144
Sisojevs, A., Glazs, A. (2011). An Efficient Approach to Direct NURBS Surface Rendering for Ray Tracing. The 19th International Conference on Computer Graphics, Visualization and Computer Vision WSCG'2011 proceedings. Plzen: University of West Bohemia, 9–12.
Baramidze, V., Lai, M. J., Shum, C. K. (2006). Spherical Splines for Data Interpolation and Fitting. SIAM Journal on Scientific Computing, 28 (1), 241–259. doi: https://doi.org/10.1137/040620722
Pang, M., Ma, W., Pan, Z., Zhang, F. (2006). Smooth Approximation to Surface Meshes of Arbitrary Topology with Locally Blended Radial Basis Functions. Computer-Aided Design and Applications, 3 (5), 587–596. doi: https://doi.org/10.1080/16864360.2006.10738412
Shi, H., Sun, Y. (2002). Blending of Triangular Algebraic Surfaces. MM MMRC, AMSS, Academia, Sinica, Beijing, 200–206.
Vyatkin, S. I. (2007). Modelirovanie slozhnyh poverhnostey s primeneniem funkciy vozmushcheniya. Avtometriya, 43 (3), 40–47.
Nagata, T. (2005). Simple local interpolation of surfaces using normal vectors. Computer Aided Geometric Design, 22 (4), 327–347. doi: https://doi.org/10.1016/j.cagd.2005.01.004
Gusyatin, V. M., Gusyatin, M. V. (2002). Vektornoe pole napravlyayushchih v zadache modelirovaniya krivolineynyh poverhnostey metodom sfericheskoy interpolyacii. Vymiriuvalna ta obchysliuvalna tekhnika v tekhnolohichnykh protsesakh, 1, 88–92.
Gusyatin, V. M., Gusyatin, M. V. (2013). Sglazhivanie triangulirovannoy poverhnosti metodom sfericheskoy interpolyacii v zadachah komp'yuternoy grafiki. Radioelektronni i kompiuterni systemy, 3 (62), 59–64.
Gusiatin, V., Gusiatin, M., Mikhal, O. (2017). Ray tracing synthesis of spatial curve images built by the spherical interpolation method. Eastern-European Journal of Enterprise Technologies, 3 (4 (87)), 4–9. doi: https://doi.org/10.15587/1729-4061.2017.103975
Gusyatin, V. M. (2001). Metod umen'sheniya iteraciy v algoritmah sinteza izobrazheniy real'nogo masshtaba vremeni. Radioelektronika i informatika, 1, 99–100.
GOST Style Citations
Computer Graphics. Principles and practice / Hughes F. J., Andries V. D., Morgan M., David F. S., James D. F., Steven K. F., Kurt A. Addison-Wesley Publishing Company, Inc., 2014. 1209 p.
Hurley J. Ray Tracing Goes Mainstream // Understanding the Platform Requirements of Emerging Enterprise Solutions. 2005. Vol. 9, Issue 2. doi: https://doi.org/10.1535/itj.0902.01
Romaniuk O. N., Obidnyk M. D., Melnykov O. M. Sproshchennia protsedury vyznachennia vektoriv iz vykorystanniam sferychno-kutovoi interpoliatsiyi // Reiestratsiya, zberihannia i obrobka danykh. 2012. Vol. 14, Issue 2. P. 14–24.
Efremov A., Havran V., Seidel H.-P. Robust and numerically stable Bézier clipping method for ray tracing NURBS surfaces // Proceedings of the 21st spring conference on Computer graphics – SCCG '05. 2005. doi: https://doi.org/10.1145/1090122.1090144
Sisojevs A., Glazs A. An Efficient Approach to Direct NURBS Surface Rendering for Ray Tracing // The 19th International Conference on Computer Graphics, Visualization and Computer Vision WSCG'2011 proceedings. Plzen: University of West Bohemia, 2011. P. 9–12.
Baramidze V., Lai M. J., Shum C. K. Spherical Splines for Data Interpolation and Fitting // SIAM Journal on Scientific Computing. 2006. Vol. 28, Issue 1. P. 241–259. doi: https://doi.org/10.1137/040620722
Smooth Approximation to Surface Meshes of Arbitrary Topology with Locally Blended Radial Basis Functions / Pang M., Ma W., Pan Z., Zhang F. // Computer-Aided Design and Applications. 2006. Vol. 3, Issue 5. P. 587–596. doi: https://doi.org/10.1080/16864360.2006.10738412
Shi H., Sun Y. Blending of Triangular Algebraic Surfaces. MM MMRC, AMSS, Academia, Sinica, Beijing, 2002. P. 200–206.
Vyatkin S. I. Modelirovanie slozhnyh poverhnostey s primeneniem funkciy vozmushcheniya // Avtometriya. 2007. Vol. 43, Issue 3. P. 40–47.
Nagata T. Simple local interpolation of surfaces using normal vectors // Computer Aided Geometric Design. 2005. Vol. 22, Issue 4. P. 327–347. doi: https://doi.org/10.1016/j.cagd.2005.01.004
Gusyatin V. M., Gusyatin M. V. Vektornoe pole napravlyayushchih v zadache modelirovaniya krivolineynyh poverhnostey metodom sfericheskoy interpolyacii // Vymiriuvalna ta obchysliuvalna tekhnika v tekhnolohichnykh protsesakh. 2002. Issue 1. P. 88–92.
Gusyatin V. M., Gusyatin M. V. Sglazhivanie triangulirovannoy poverhnosti metodom sfericheskoy interpolyacii v zadachah komp'yuternoy grafiki // Radioelektronni i kompiuterni systemy. 2013. Issue 3 (62). P. 59–64.
Gusiatin V., Gusiatin M., Mikhal O. Ray tracing synthesis of spatial curve images built by the spherical interpolation method // Eastern-European Journal of Enterprise Technologies. 2017. Vol. 3, Issue 4 (87). P. 4–9. doi: https://doi.org/10.15587/1729-4061.2017.103975
Gusyatin V. M. Metod umen'sheniya iteraciy v algoritmah sinteza izobrazheniy real'nogo masshtaba vremeni // Radioelektronika i informatika. 2001. Issue 1. P. 99–100.
Copyright (c) 2018 Vladimir Gusiatin, Maksim Gusiatin, Oleg Mikhal

This work is licensed under a Creative Commons Attribution 4.0 International License.
ISSN (print) 1729-3774, ISSN (on-line) 1729-4061