{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T13:57:09Z","timestamp":1761487029895},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Patt. Recogn. Artif. Intell."],"published-print":{"date-parts":[[2003,9]]},"abstract":"<jats:p> Pseudo-Zernike moments have better feature representation capability, and are more robust to image noise than those of the conventional Zernike moments. However, due to the computation complexity of pseudo-Zernike polynomials, pseudo-Zernike moments are yet to be extensively used as feature descriptors as compared to Zernike moments. In this paper, we propose two new algorithms, namely coefficient method and p-recursive method, to accelerate the computation of pseudo-Zernike moments. Coefficient method calculates polynomial coefficients recursively. It eliminates the need of using factorial functions. Individual order or index of pseudo-Zernike moments can be derived independently, which is useful if selected orders or indices of moments are needed as pattern features. p-recursive method uses a combination of lower order polynomials to derive higher order polynomials with the same index q. Fast computation is achieved because it eliminates the requirements of calculating polynomial coefficients, B<jats:sub>pqk<\/jats:sub>, and power of radius, r<jats:sup>k<\/jats:sup>, in each polynomial. The performance of the proposed algorithms on moment computation and image reconstruction, as compared to those of the present methods, are experimentally verified using a set of binary and grayscale images. <\/jats:p>","DOI":"10.1142\/s0218001403002769","type":"journal-article","created":{"date-parts":[[2003,8,30]],"date-time":"2003-08-30T01:24:37Z","timestamp":1062206677000},"page":"1011-1023","source":"Crossref","is-referenced-by-count":51,"title":["An Efficient Algorithm for Fast Computation of Pseudo-Zernike Moments"],"prefix":"10.1142","volume":"17","author":[{"given":"Chee-Way","family":"Chong","sequence":"first","affiliation":[{"name":"Faculty of Engineering and Technology,  Multimedia University, Jalan Air Keroh Lama, 75450 Melaka, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"Raveendran","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering,  University of Malaya, 50603 Kuala Lumpur, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Mukundan","sequence":"additional","affiliation":[{"name":"Department of Computer Science,  University of Canterbury, Private Bag 4800, Christchurch, New Zealand"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1109\/34.491620"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/0016-0032(96)00017-8"},{"key":"rf3","author":"Chong C. W.","journal-title":"Patt. Anal. Appl."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1080\/713819334"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/0031-3203(95)00011-N"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/9789812816092"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1364\/AO.28.000749"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1109\/34.3913"}],"container-title":["International Journal of Pattern Recognition and Artificial Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218001403002769","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T02:20:40Z","timestamp":1565144440000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218001403002769"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,9]]},"references-count":8,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2003,9]]}},"alternative-id":["10.1142\/S0218001403002769"],"URL":"https:\/\/doi.org\/10.1142\/s0218001403002769","relation":{},"ISSN":["0218-0014","1793-6381"],"issn-type":[{"value":"0218-0014","type":"print"},{"value":"1793-6381","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,9]]}}}