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Filtering and reconstruction in image processing
Linköping University, Department of Electrical Engineering, Computer Vision. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-9091-4724
1982 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Image processing is a broad field posing a wide range of problems. The Work presented in this dissertation is mainly concerned with filter design subjectto different criteria and constraints.

The first part describes the development of a new radiographic reconstruction method designated Ectomography. The method is novel in that it allows reconstruction of an arbitrarily thick layer of an object using limited viewing angle.

The subject of the second partis estimation and filtering of local image information. Quadrature filters are designed enabling accurate orientation and frequency estimates. The extracted information is shown to provide a good basis fo r efficient image enhancement and coding procedures.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press , 1982. , 11 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 88
Keyword [en]
Ectomography, Radiographic reconstruction method, Image processing, Elektronik
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-54890ISBN: 91-7372-595-1 (print)OAI: oai:DiVA.org:liu-54890DiVA: diva2:311054
Public defence
1982-12-17, C3, Hus C, Campus Valla, Linköpings universitet, Linköping, 09:15 (English)
Supervisors
Available from: 2010-04-19 Created: 2010-04-19 Last updated: 2013-08-28Bibliographically approved
List of papers
1. Ectomography: A New Radiographic Method for Reproducing a Selected Slice of Varying Thickness
Open this publication in new window or tab >>Ectomography: A New Radiographic Method for Reproducing a Selected Slice of Varying Thickness
1980 (English)In: Acta Radiologica, ISSN 0284-1851, E-ISSN 1600-0455, Vol. 21, no 4, 433-442 p.Article in journal (Refereed) Published
Abstract [en]

The mathematical basis is described of a new radiographic method by which an arbitrarily thick layer of the patient may be reconstructed. The reconstruction is performed from at least 60 images of the volume under examination. Each of these images, which have to be in digital form, is subjected to a special filtration process of its spatial frequencies. The combination of all the images will form the resulting image of the layer--the ectomogram. The method has been analysed and tested in experiments simulated with a computer.

National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-21580 (URN)7457172 (PubMedID)
Available from: 2009-10-04 Created: 2009-10-04 Last updated: 2013-08-28Bibliographically approved
2. Ectomography. A New Radiographic Reconstruction Method: I. Theory and Error Estimates
Open this publication in new window or tab >>Ectomography. A New Radiographic Reconstruction Method: I. Theory and Error Estimates
1980 (English)In: IEEE Transactions on Biomedical Engineering, ISSN 0018-9294, E-ISSN 1558-2531, Vol. BME--27, no 11, 640-645 p.Article in journal (Refereed) Published
Abstract [en]

Radiographic technology has advanced considerably during the last years with the advent of reconstruction techniques allowing visualization of slices through the body. In spite of the advantage of computed tomography compared to conventional radiographic methods, there are still some shortcomings with the method If a different section of the body is desired, another recording has to be made, the width of the dice reconstructed is fixed, and a full 1800 view angle is required.

National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-21571 (URN)10.1109/TBME.1980.326704 (DOI)
Available from: 2009-10-04 Created: 2009-10-04 Last updated: 2013-08-28
3. Ectomography. A New Radiographic Reconstruction Method: II. Computer Simulated Experiments
Open this publication in new window or tab >>Ectomography. A New Radiographic Reconstruction Method: II. Computer Simulated Experiments
1980 (English)In: IEEE Transactions on Biomedical Engineering, ISSN 0018-9294, E-ISSN 1558-2531, Vol. BME--27, no 11, 649-655 p.Article in journal (Refereed) Published
Abstract [en]

In a special radiographic process, ectomography, an image of a slice is produced by simple summation of a set of specially filtered component images, of which each represents one of at least 60 different projections of the object. After being digitized, they are stored, filtered, and summed in a computer. Images representing any slice of any thickness in the object may be produced from the same set of component images. All details within the slice are pictured correctly while details outside are almost completely eliminated.

National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-21581 (URN)10.1109/TBME.1980.326705 (DOI)
Available from: 2009-10-04 Created: 2009-10-04 Last updated: 2013-08-28
4. Design of Convolution Kernels
Open this publication in new window or tab >>Design of Convolution Kernels
1982 (English)Report (Other academic)
Abstract [en]

Operators for extraction of local information are essential components in an image processing system. This paper concentrates on the design and evaluation of convolution kernel sets enabling easy estimation of local orientation and frequency.

Consideration of interpolation properties and the limiting effects of the uncertainty principle leads to the definition of an "i deal" quadrature filter function. An optimization procedure is utilized to produce pairs of convolution kernels which implement an approximation of the desired function. A number of optimization results are presented.

To evaluate the performance of the optimized kernels in an image processing task, a series of experiments have been carried out. Examples are given of local orientation and frequency estimates for images with different signal to noise ratios. An angle deviation measure is defined and avector averaging scheme is introduced to increase angle estimation accuracy. Using a OdB SNR testimage, orientation estimates are produced having an expected deviation of less than 7 degrees.

Publisher
61 p.
Series
LiTH-ISY-I, ISSN 8765-4321 ; 0557
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-56437 (URN)LiTH-ISY-I-0557 (ISRN)
Available from: 2010-05-12 Created: 2010-05-12 Last updated: 2010-05-12Bibliographically approved
5. Anisotropic Non-Stationary Image Estimation and its Applications: Part I. Restoration of Noisy Images
Open this publication in new window or tab >>Anisotropic Non-Stationary Image Estimation and its Applications: Part I. Restoration of Noisy Images
1983 (English)In: IEEE Transactions on Communications, ISSN 0090-6778, E-ISSN 1558-0857, Vol. COM--31, no 3, 388-397 p.Article in journal (Refereed) Published
Abstract [en]

A new form of image estimator, which takes account of linear features, is derived using a signal equivalent formulation. The estimator is shown to be a nonstationary linear combination of three stationary estimators. The relation of the estimator to human visual physiology is discussed. A method for estimating the nonstationary control information is described and shown to be effective when the estimation is made from noisy data. A suboptimal approach which is computationally less demanding is presented and used in the restoration of a variety of images corrupted by additive white noise. The results show that the method can improve the quality of noisy images even when the signal-to-noise ratio is very low.

National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-21582 (URN)10.1109/TCOM.1983.1095832 (DOI)
Note
©2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. Hans Knutsson, Roland Wilson and Gösta H. Granlund, Anisotropic Non-Stationary Image Estimation and its Applications: Part I. Restoration of Noisy Images, 1983, IEEE Transactions on Communications, (COM--31), 3, 388-397. http://dx.doi.org/10.1109/TCOM.1983.1095832 Available from: 2009-10-04 Created: 2009-10-04 Last updated: 2013-08-28Bibliographically approved
6. Anisotropic Non-Stationary Image Estimation and its Applications: Part II. Predictive Image Coding
Open this publication in new window or tab >>Anisotropic Non-Stationary Image Estimation and its Applications: Part II. Predictive Image Coding
1983 (English)In: IEEE Transactions on Communications, ISSN 0090-6778, E-ISSN 1558-0857, Vol. 31, no 3, 398-406 p.Article in journal (Refereed) Published
Abstract [en]

A new predictive coder, based on an estimation method which adapts to line and edge features in images, is described. Quantization of the prediction error is performed by a two-level adaptive scheme: an adaptive transform coder, and a threshold coding in both transform and spatial domains. Control information, which determines the behavior of the predictor, is quantized using a simple variable rate technique. The results are improved by pre- and post-filtering using a related noncausal form of the estimator. Acceptable images have been produced in this way at bit rates of less than 0.5 bit/pixel.

National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-21587 (URN)
Available from: 2009-10-04 Created: 2009-10-04 Last updated: 2013-08-28Bibliographically approved

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