Cauchy-Riemann 方程式與影像邊緣偵測

碩士 === 國立中正大學 === 數學研究所 === 101 === The inspiration for this study originated from Elfataoui and Mirchandani[1] who proposed to do edge detection using analytic signal concept. They used B-spline bases to split up the original signal and then put it in Cauchy–Riemann equation to integral. Constructe...

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Bibliographic Details
Main Authors: Cheng-yu Hsueh, 薛丞佑
Other Authors: 賴振耀
Format: Others
Language:zh-TW
Published: 2010
Online Access:http://ndltd.ncl.edu.tw/handle/26175903917617449301
Description
Summary:碩士 === 國立中正大學 === 數學研究所 === 101 === The inspiration for this study originated from Elfataoui and Mirchandani[1] who proposed to do edge detection using analytic signal concept. They used B-spline bases to split up the original signal and then put it in Cauchy–Riemann equation to integral. Constructed the conjugate singal of the original image to show the edge image. In this paper, we use finite difference method to solve Cauchy–Riemann equation and then construct the conjugate image. And we want to get better result of edge imge, so the conjugate image of the post-processing to do.