0394387 20240103202740.920131111235959.9 000322395100007 84881007111 10.1142/S0218001413540062 25 s. E cav_un_epca*02534200218-0014274 (2013) Hermite polynomials Hermite kernel steerability adaptive filtering cav_un_auth*0292817 Yang Bo Zpracování obrazové informace Department of Image Processing ZOI ZOI UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101087 Flusser Jan Zpracování obrazové informace Department of Image Processing ZOI ZOI UTIA-B Department of Image Processing Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101203 Suk Tomáš Zpracování obrazové informace Department of Image Processing ZOI ZOI UTIA-B Department of Image Processing Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2013/ZOI/yang-0394387.pdf GAP103/11/1552 GA ČR cav_un_auth*0273618 Steerability is a useful and important property of “kernel” functions. It enables certain complicated operations involving orientation manipulation on images to be executed with high efficiency. Thus, we focus our attention on the steerability of Hermite polynomials and their versions modulated by the Gaussian function with different powers, defined as the Hermite kernel. Certain special cases of such kernel, Hermite polynomials, Hermite functions and Gaussian derivatives are discussed in detail. Correspondingly, these cases demonstrate that the Hermite kernel is a powerful and effective tool for image processing. Furthermore, the steerability of the Hermite kernel is proved with the help of a property of Hermite polynomials revealing the rule concerning the product of two Hermite polynomials after coordination rotation. Consequently, any order of the Hermite kernel inherits steerability. Moreover, a couple sets of an explicit interpolation function and basis function can be directly obtained. 2014 JD 3 4 A 4a 20231122135712.0 RVO:67985556 http://hdl.handle.net/11104/0225825 COMPUTERSCIENCEARTIFICIALINTELLIGENCE 0.856 0.100 8.0 0.00179 0.286 773 80 0.278 ScienceCitationIndexExpanded Q3 21.63 21.901 Q4 Q3 2013 Soubory v repozitáři: yang-0394387.pdf 84881007111 SCOPUS 000322395100007 WOS cav_un_epca*0253420 International Journal of Pattern Recognition and Artificial Intelligence 0218-0014 1793-6381 Roč. 27 č. 4 2013 , 1354006-1-1354006-25