{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T21:07:41Z","timestamp":1723237661585},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Image Grap."],"published-print":{"date-parts":[[2015,10]]},"abstract":"<jats:p> This paper presents a new method for inverse geometric reconstruction of conics in 3D space using a ray\u2013surface intersection. The perspective views of the conic in both the image planes are used as the input of the reconstruction algorithm. Least-square curve fitting is used in one of the 2D image planes to obtain the algebraic equation of the projected conic. The ray\u2013surface intersection is performed using a second-order method, where a new criterion is given to provide the unique intersection. A plane is fitted through the evolved intersection points. The constructed plane cuts the conical surface to the desired conic. The proposed method does not require to establish correspondence between the two perspective views. Moreover, it requires only three intersection points. Various experiments are presented to support the validity of the proposed algorithm. Simulation studies are also performed to observe the effect of noise on errors of reconstruction. Effect of quantization errors are also considered in the final reconstruction. <\/jats:p>","DOI":"10.1142\/s0219467815500199","type":"journal-article","created":{"date-parts":[[2015,8,12]],"date-time":"2015-08-12T08:49:44Z","timestamp":1439369384000},"page":"1550019","source":"Crossref","is-referenced-by-count":1,"title":["Stereo Vision-Based Conic Reconstruction Using a Ray-Quadric Intersection"],"prefix":"10.1142","volume":"15","author":[{"given":"Deepika","family":"Saini","sequence":"first","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sanjeev","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,8,12]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1145\/358876.358882"},{"key":"rf2","unstructured":"D. F.\u00a0Rogers and J. A.\u00a0Adams, Mathematical Elements for Computer Graphics, 2012th edn. (Tata McGraw-Hill, NewYork, 1990)\u00a0pp. 1\u2013611."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01911005"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/0097-8493(93)90031-4"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1145\/3147.3162"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2013.07.001"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1080\/0020716021000038974"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1080\/10241230215283"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1080\/00207160601176897"},{"key":"rf13","first-page":"98","volume":"5","author":"Kumar S.","year":"2009","journal-title":"International Journal of Information and System Sciences"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.22.001746"}],"container-title":["International Journal of Image and Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219467815500199","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T04:17:25Z","timestamp":1565151445000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219467815500199"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8,12]]},"references-count":11,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2015,8,12]]},"published-print":{"date-parts":[[2015,10]]}},"alternative-id":["10.1142\/S0219467815500199"],"URL":"https:\/\/doi.org\/10.1142\/s0219467815500199","relation":{},"ISSN":["0219-4678","1793-6756"],"issn-type":[{"value":"0219-4678","type":"print"},{"value":"1793-6756","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,8,12]]}}}