Space positioning for objects by imageprocessing

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 106 === In recent years, spatial positioning has been widely used in various fields. This study intends to spatially locate images captured by a digital camera to meet the needs of popularization. The main research object of this paper is that when the size of the t...

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Main Authors: ChiehChou, 周杰
Other Authors: Shih-Yu Shen
Format: Others
Language:zh-TW
Published: 2018
Online Access:http://ndltd.ncl.edu.tw/handle/25d635
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spelling ndltd-TW-106NCKU55070152019-05-16T01:08:00Z http://ndltd.ncl.edu.tw/handle/25d635 Space positioning for objects by imageprocessing 透過影像處理進行實物空間定位 ChiehChou 周杰 碩士 國立成功大學 數學系應用數學碩博士班 106 In recent years, spatial positioning has been widely used in various fields. This study intends to spatially locate images captured by a digital camera to meet the needs of popularization. The main research object of this paper is that when the size of the target is known, we would like to locate the target through a single image captured by a digital camera. Through the size of the object and the position in the image of the object, different object distances can be calculated for different object plane normal vectors. If the object plane equation is ax + by + z = z0, then let the nonlinear function contains three parameters, respectively a; b; z0, which is the total sum of squares of the object distances. When the correct parameters are brought in, the function value will be 0. In order to solve the nonlinear function, the camera’s internal parameters must be calculated with other image for correction before capturing the image for positioning. The numerical methods used are gradient method and Newton method, the accuracy between the two algorithms and the number of iterations required are compared under different conditions. According to the experimental results, the gradient descent method with better convergence stability will be the main iterative method. Shih-Yu Shen 沈士育 2018 學位論文 ; thesis 46 zh-TW
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language zh-TW
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sources NDLTD
description 碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 106 === In recent years, spatial positioning has been widely used in various fields. This study intends to spatially locate images captured by a digital camera to meet the needs of popularization. The main research object of this paper is that when the size of the target is known, we would like to locate the target through a single image captured by a digital camera. Through the size of the object and the position in the image of the object, different object distances can be calculated for different object plane normal vectors. If the object plane equation is ax + by + z = z0, then let the nonlinear function contains three parameters, respectively a; b; z0, which is the total sum of squares of the object distances. When the correct parameters are brought in, the function value will be 0. In order to solve the nonlinear function, the camera’s internal parameters must be calculated with other image for correction before capturing the image for positioning. The numerical methods used are gradient method and Newton method, the accuracy between the two algorithms and the number of iterations required are compared under different conditions. According to the experimental results, the gradient descent method with better convergence stability will be the main iterative method.
author2 Shih-Yu Shen
author_facet Shih-Yu Shen
ChiehChou
周杰
author ChiehChou
周杰
spellingShingle ChiehChou
周杰
Space positioning for objects by imageprocessing
author_sort ChiehChou
title Space positioning for objects by imageprocessing
title_short Space positioning for objects by imageprocessing
title_full Space positioning for objects by imageprocessing
title_fullStr Space positioning for objects by imageprocessing
title_full_unstemmed Space positioning for objects by imageprocessing
title_sort space positioning for objects by imageprocessing
publishDate 2018
url http://ndltd.ncl.edu.tw/handle/25d635
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AT zhōujié tòuguòyǐngxiàngchùlǐjìnxíngshíwùkōngjiāndìngwèi
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