TY - JFULL AU - Chanon Aphirukmatakun and Natasha Dejdumrong PY - 2007/9/ TI - An Approach to Polynomial Curve Comparison in Geometric Object Database T2 - International Journal of Physical and Mathematical Sciences SP - 385 EP - 392 VL - 1 SN - 1307-6892 UR - https://publications.waset.org/pdf/4806 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 8, 2007 N2 - In image processing and visualization, comparing two bitmapped images needs to be compared from their pixels by matching pixel-by-pixel. Consequently, it takes a lot of computational time while the comparison of two vector-based images is significantly faster. Sometimes these raster graphics images can be approximately converted into the vector-based images by various techniques. After conversion, the problem of comparing two raster graphics images can be reduced to the problem of comparing vector graphics images. Hence, the problem of comparing pixel-by-pixel can be reduced to the problem of polynomial comparisons. In computer aided geometric design (CAGD), the vector graphics images are the composition of curves and surfaces. Curves are defined by a sequence of control points and their polynomials. In this paper, the control points will be considerably used to compare curves. The same curves after relocated or rotated are treated to be equivalent while two curves after different scaled are considered to be similar curves. This paper proposed an algorithm for comparing the polynomial curves by using the control points for equivalence and similarity. In addition, the geometric object-oriented database used to keep the curve information has also been defined in XML format for further used in curve comparisons. ER -