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Curve Fitting of Random Data Pionts Based on Gived Contour and Application
Author: LiuShiQing
Tutor: YangXingQiang
School: Shandong University
Course: Applied Computer Technology
Keywords: Contour Scattered data points Curve fitting Edge Detection
CLC: TP391.41
Type: Master's thesis
Year: 2009
Downloads: 248
Quote: 6
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Abstract
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Curve fitting is an important research topic in approximation theory and geometric modeling. Especially unordered set of points, also known as the reconstruction of the curve of the scattered data points, in recent years more and more attention has been paid to become a hot issue. Currently, there are at least three types of fitting algorithm: first class methods using regression or least squares fitting method, the biggest drawback is the desired too computationally intensive. Category 2 the original set of data points projected onto a plane on the grid, but the accuracy of the method is to generate a binary image, the resolution of the grid. 3rd class methods known data points as a constraint, directly solving the curve parameters, was rebuilt curve. This approach often need to optimize or iterative solution for excessive noise set of data points, the method is not ideal. Clear from the various fitting algorithm, have their own suitable interval as well as NA range. Work in the algorithm is applicable to make the results very good; work in the case of NA, to make the results often can not be used. Analysis of the reasons is that the research question itself is scattered data points curve fitting, generally do not have any regularity in the point set, to get a general algorithm itself is quite difficult. The algorithm, based on application, based on the scattered data points of the contour curve fitting. The so-called contour is given by the user, by virtue of prior experience of fitting results of a predictive depiction. Depicted is a schematic, such as round; can also be exhaustive, for example, draw a solid FIG. Depicted meticulous determines the accuracy of the results. Algorithm uses Sobel operator edge detection for a given image, get a set of scattered data points, followed by a series of processing the point set to rough sperm retrieval; based on a given contour, combined with image registration the principle, from the scattered point set to select an ordered set of feature point set; Finally, the use of cubic B-spline interpolation algorithm, fitting the point set, the target curve. The target curve meets the final requirements, the article gives a potential energy function as an evaluation function, when the potential energy of the target curve is higher than a certain threshold, the target curve with the expected results too deviation should be discarded. To replace the edge detection algorithm for the Laplace operator method to fit again, until the compliance requirement. The experimental results show that very accurate results can be obtained because this method introduces interactive than unattended algorithm greatly improved accuracy. Simplified algorithm greatly reduces the running time of initial prediction can be applied in the diagnosis. On the other hand, since the result of human involvement non-reproducibility, so that this algorithm because the type is an input to the type of output. For example, the elderly physician prior experience will be better than the young doctors, they give the contour will get more accurate results. Therefore, the proposed algorithm does not apply to some special systems, such as public security system. End of this article, select some journals on similar curve fitting algorithm for comparison. The comparison results show that the algorithm has a lower time complexity, run faster, and more accurate experimental results.
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CLC: > Industrial Technology > Automation technology,computer technology > Computing technology,computer technology > Computer applications > Information processing (information processing) > Pattern Recognition and devices > Image recognition device
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