Title :
Approximation of digitized curves with cubic Bézier splines
Author :
Kolesnikov, Alexander
Author_Institution :
Sch. of Comput., Univ. of Eastern Finland, Joensuu, Finland
Abstract :
In this paper we examine a problem of digitized curves approximation for raster graphics vectorization and develop an efficient implementation of a near-optimal Dynamic Programming algorithm for digitized curves approximation with cubic Bézier splines for a given distortion bound. For better fitting performance, we introduce the inflection points with relaxed constraint of tangent continuity. The proposed algorithm demonstrates superiority over the iterative breakpoint-insertion method in terms of segments number for a given distortion bound.
Keywords :
computer graphics; dynamic programming; image processing; splines (mathematics); cubic Bezier splines; digitized curve approximation; near optimal dynamic programming algorithm; raster graphics vectorization; segments number; Algorithm design and analysis; Approximation algorithms; Approximation error; Heuristic algorithms; Image segmentation; Spline; Spline functions; curve fitting; graph theory; image shape analysis;
Conference_Titel :
Image Processing (ICIP), 2010 17th IEEE International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-7992-4
Electronic_ISBN :
1522-4880
DOI :
10.1109/ICIP.2010.5651820