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## A new approach for nonlinear distortion correction in endoscopic images based on least squares estimation (1999)

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Venue: | IEEE Trans. Med. Imag |

Citations: | 18 - 0 self |

### Citations

436 |
An efficient and accurate camera calibration technique for 3d machine vision
- Tsai
- 1986
(Show Context)
Citation Context ...ters [5], [6]. Several researchers have presented various mathematical models of the image distortion and techniques to find the model parameters to complete the distortion-correction procedure. Tsai =-=[7]-=- proposed a radial lens distortion model which describes a two-dimensional (2-D) image-correction technique. A prism-distortion model was used in [8] to correct the tangential distortion in an image. ... |

319 |
Camera calibration with distortion models and accuracy evaluation
- Weng, Cohen, et al.
- 1992
(Show Context)
Citation Context ...high-distortion TV camera lenses. However, this method requires precise placement of the calibration chart. Thus, a small shift of the chart prompts considerable errors in distortion correction. Weng =-=[10]-=- has explained radial, decentering, and thin prism-types of distortions and techniques to model them mathematically. All the above models give reasonable results for images obtained from cameras with ... |

121 |
Linear and Nonlinear Programming
- Nash, Sofer
- 1996
(Show Context)
Citation Context ... are calculated by using a new set of expansion coefficients. The recursive relationship to find the new set of expansion coefficients is derived from the line search method of guaranteed convergence =-=[14]-=-. This method is based on a globalization strategy to select the new coefficients. The search direction in this strategy is different from that derived from the Taylor series, as the Taylor series pro... |

34 | Some aspects of zoom lens camera calibration
- Li, Lavest
- 1996
(Show Context)
Citation Context ...cations while using token matching techniques for pattern recognition. Distortion correction is also a prerequisite for the camera calibration to obtain extrinsic and intrinsic camera parameters [5], =-=[6]-=-. Several researchers have presented various mathematical models of the image distortion and techniques to find the model parameters to complete the distortion-correction procedure. Tsai [7] proposed ... |

30 |
Statistics: Theory and Methods
- Berry, Lindgren
- 1990
(Show Context)
Citation Context ...way similar to the expansion polynomial of (3), and the coefficients are calculated by using nonlinear regression analysis employing least squares for a finite number of points in the distorted image =-=[15]-=-. For every pixel in the corrected image, the corresponding location in the distorted image is obtained and the information contained in that pixel location is assigned to the corrected image pixel. I... |

15 |
A new method for distortion correction of electronic endoscope images
- Haneishi, Miyake
- 1995
(Show Context)
Citation Context ...ens cameras. Smith et al. [11] gave a formulation in which distortion was assumed to be purely radial, and orthogonal Chebyshev polynomials were used to determine the model parameters. Hideaki et al. =-=[12]-=- presented a different method for estimation of the model parameters, in which a moment matrix was obtained from a set of image points, and distorted grid lines in the image were straightened on the b... |

10 |
Simple calibration algorithm for high-distortion-lens camera
- Nomura, Sagar, et al.
- 1992
(Show Context)
Citation Context ...dial lens distortion model which describes a two-dimensional (2-D) image-correction technique. A prism-distortion model was used in [8] to correct the tangential distortion in an image. Nomura et al. =-=[9]-=- presented a calibration technique for high-distortion TV camera lenses. However, this method requires precise placement of the calibration chart. Thus, a small shift of the chart prompts considerable... |

9 |
Correction of distortion in endoscope images [J
- SMITH, VAKIN, et al.
- 1992
(Show Context)
Citation Context ... reasonable results for images obtained from cameras with normal viewing objective lenses, but these models are not effective for electronic endoscopes which use wide-angle lens cameras. Smith et al. =-=[11]-=- gave a formulation in which distortion was assumed to be purely radial, and orthogonal Chebyshev polynomials were used to determine the model parameters. Hideaki et al. [12] presented a different met... |

2 |
Electronic videoendoscopy
- Kato, Barron
- 1993
(Show Context)
Citation Context ...intestinal tract. In these endoscopes, cameras with a wide viewing angle lens (fish-eye lens) are used to enhance the imaging capability, which permits the capturing of larger field in a single image =-=[1]-=-. However, it has been noted that the images obtained from electronic endoManuscript received June 1, 1998; revised January 4, 1999. The Associate Editor responsible for coordinating the review of thi... |

2 |
An Introduction to Numerical Methods with Pascal
- Atkinson, Harley
- 1983
(Show Context)
Citation Context ...ned as To estimate the coefficients ’s, least squares estimation is used which provides sufficient emphasis on all those points which are far from the approximation, without allowing them to dominate =-=[13]-=-. The unknowns ’s are chosen to minimize the function which is defined as Hence, ’s can be calculated from (6) (7) for (8) For every set from (6) simultaneous equations are obtained, which can be repr... |

1 |
How reliable is determination of ulcer size by endoscopy
- Sonnenberg, Giger, et al.
- 1979
(Show Context)
Citation Context ...on of quantitative parameters, such as area and perimeter, is of considerable importance while performing clinical endoscopy. Unless the distortion is corrected, estimation errors could be very large =-=[2]-=-–[4]. In addition, the distortion causes complications while using token matching techniques for pattern recognition. Distortion correction is also a prerequisite for the camera calibration to obtain ... |

1 | A new method for the measurement of the gastric and colonic lesions with an electronic endoscope and image processor - Hatada, Iwane, et al. - 1991 |

1 |
How accurate are endoscopic estimates of size
- Margulies, Krevsky, et al.
- 1994
(Show Context)
Citation Context ...f quantitative parameters, such as area and perimeter, is of considerable importance while performing clinical endoscopy. Unless the distortion is corrected, estimation errors could be very large [2]–=-=[4]-=-. In addition, the distortion causes complications while using token matching techniques for pattern recognition. Distortion correction is also a prerequisite for the camera calibration to obtain extr... |

1 |
Parametric and nonparametric approaches for camera calibration: Analysis of imaging errors and their compensation
- MaoLin, Ma
- 1995
(Show Context)
Citation Context ...omplications while using token matching techniques for pattern recognition. Distortion correction is also a prerequisite for the camera calibration to obtain extrinsic and intrinsic camera parameters =-=[5]-=-, [6]. Several researchers have presented various mathematical models of the image distortion and techniques to find the model parameters to complete the distortion-correction procedure. Tsai [7] prop... |

1 |
Decentering distortion of lenses,” Photogramm
- Brown
- 1966
(Show Context)
Citation Context ...complete the distortion-correction procedure. Tsai [7] proposed a radial lens distortion model which describes a two-dimensional (2-D) image-correction technique. A prism-distortion model was used in =-=[8]-=- to correct the tangential distortion in an image. Nomura et al. [9] presented a calibration technique for high-distortion TV camera lenses. However, this method requires precise placement of the cali... |

1 |
Quantitative characterization of colon by fuzzy based image analysis
- Krishnan, Asari, et al.
- 1998
(Show Context)
Citation Context ...e dynamic histogram thresholding technique, and the image is binarized. The dynamic histogram thresholding is implemented by using the hillclustering approach to find a suitable valley as a threshold =-=[16]-=-. The pseudocenter is estimated as follows. 1) Define a token window of size such that the intensity of the window pixel at location . An odd number is assigned to to ensure symmetry for token matchin... |