{
"title": "An Approach to Polynomial Curve Comparison in Geometric Object Database",
"authors": "Chanon Aphirukmatakun, Natasha Dejdumrong",
"country": null,
"institution": null,
"volume": "8",
"journal": "International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering",
"pagesStart": 386,
"pagesEnd": 393,
"ISSN": "1307-6892",
"URL": "http:\/\/waset.org\/publications\/4806",
"abstract": "In image processing and visualization, comparing two\r\nbitmapped images needs to be compared from their pixels by matching\r\npixel-by-pixel. Consequently, it takes a lot of computational time\r\nwhile the comparison of two vector-based images is significantly\r\nfaster. Sometimes these raster graphics images can be approximately\r\nconverted into the vector-based images by various techniques. After\r\nconversion, the problem of comparing two raster graphics images\r\ncan be reduced to the problem of comparing vector graphics images.\r\nHence, the problem of comparing pixel-by-pixel can be reduced to\r\nthe problem of polynomial comparisons. In computer aided geometric\r\ndesign (CAGD), the vector graphics images are the composition of\r\ncurves and surfaces. Curves are defined by a sequence of control\r\npoints and their polynomials. In this paper, the control points will be\r\nconsiderably used to compare curves. The same curves after relocated\r\nor rotated are treated to be equivalent while two curves after different\r\nscaled are considered to be similar curves. This paper proposed an\r\nalgorithm for comparing the polynomial curves by using the control\r\npoints for equivalence and similarity. In addition, the geometric\r\nobject-oriented database used to keep the curve information has also\r\nbeen defined in XML format for further used in curve comparisons.",
"references": null,
"publisher": "World Academy of Science, Engineering and Technology",
"index": "International Science Index 8, 2007"
}