A High Pressure Xenon Proportional Chamber for X-Ray Laminographic Reconstruction Using Fan Beam Geometry

Boyd, Douglas P.; Coonrod, J.; Dehnert, J.; Chu, D.; Lim, C. B.; Macdonald, B.; Perez‐Mendez, V.

doi:10.1109/tns.1974.4327460

Cited by 13 publications

(7 citation statements)

References 6 publications

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“…Theogem 1 immediately yields the following result, which proves the convergence of the algorithms used in [2,10].…”

Section: Corollary Imentioning

confidence: 57%

“…Some of the other papers mentioning similar methods for image reconstruction are [2,5,6,7,8,10]. Such algorithms are commonly referred to as 17'0 ART (algebraic reconstruction techniques).…”

Section: The Relaxation Methods and Its Convergencementioning

confidence: 99%

“…Nevertheless, the approach that each of the measurements provides us with a linear equation (rather than a pair of inequalities) has often been taken in the reconstruction literature (see, e.g., [2,4,7,8,10]) and has resulted in reconstructions which were often of acceptable quality.…”

Section: Relaxation Methods For Linear Equationsmentioning

confidence: 99%

“…Looking at Algorithm 2b we see that its dimensionalitv must be the reciprocal of the dimensionality of ~ail.For example, in [2], the dimensionality of 19iI is [length] and so that of s (k) must-be [length]-. Boyd et al [2] in fact set s (k) to be l/w, where w is the width of a pixel, thus preserving correct dimensionality.…”

Section: Corollary Imentioning

confidence: 99%

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Iterative relaxation methods for image reconstruction

Herman¹,

Lent

Lutz³

1975

Proceedings of the 1975 Annual Conference on - ACM 75

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The problem of recovering an image (a function of two variables) from experimentally available integrals of its grayness over thin strips is of great importance in a large number of scientific areas.An important version of the problem in medicine is that of obtaining the exact density distribution within the human body from X-ray projections.One approach that has been taken to solve this problem consists of translating the available information into a system of linear inequalities.The size and the sparsity of the resulting system of inequalities (typically, 25,000 inequalities with less than 1% of the coefficients nonzero) makes methods using successive relaxations computationally attractive.A variety of such methods have been proposed with differing relaxation parameters.In this paper we show that for a consistent system of linear inequalities, any sequence of relaxation parameters lying strictly between zero and two generates a sequence of vectors which converges to a solution.Under the same assumptions, for a system of linear equations, the relaxation method converges to the minimum norm solution.Previously proposed techniques are shown to be special cases of our procedure with different choices of relaxation parameters.Thus, our results provide proofs of convergence for previously used algorithms where no such proofs existed before.We discuss the practical consequences for image reconstruction of the choice of the relaxation parameters.

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“…Theogem 1 immediately yields the following result, which proves the convergence of the algorithms used in [2,10].…”

Section: Corollary Imentioning

confidence: 57%

Section: The Relaxation Methods and Its Convergencementioning

confidence: 99%

Section: Relaxation Methods For Linear Equationsmentioning

confidence: 99%

Section: Corollary Imentioning

confidence: 99%

See 2 more Smart Citations

Iterative relaxation methods for image reconstruction

Herman¹,

Lent

Lutz³

1975

Proceedings of the 1975 Annual Conference on - ACM 75

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“…This was made possible by the introduction of high performance proportional detectors (e.g. Xenon detectors) that do not require recalibration prior to scanning [12] to enable axial translation (1st and 2nd generation scanners). This last advancement was crucial for the design of third generation scanners without axial translation, defining the basic geometry of current CT scanners (Fig.…”

Section: Hardware Innovationsmentioning

confidence: 99%

Advances in Technological Design to Optimize Exposure and Improve Image Quality

Gutiérrez

Zaidi

2013

Radiological Safety and Quality

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Multimodality imaging is playing a key role in the clinical management of patients in routine diagnosis, staging, restaging and assessment of response to treatment, surgery and radiation therapy planning of malignant diseases. The complementarity between anatomical (CT and MRI) and functional/molecular (SPECT and PET) imaging modalities is now well recognized and the role of fusion imaging is widely used as a central piece of the general tree of clinical decision making. Moreover, dual-modality imaging technologies including SPECT/CT, PET/CT and nowadays PET/MR represent the leading component of a modern healthcare facility. There have been significant advances in data acquisition along with innovative approaches to image reconstruction and processing with the aim to improve image quality and diagnostic information. However, CT procedures involve relatively high doses to the patient, which triggered many initiatives to reduce the delivered dose particularly in paediatric practice.This chapter discusses the state-of-the-art developments and challenges of multimodality medical imaging technologies and dose reduction strategies. Future opportunities and the challenges limiting their adoption in clinical and research settings will also be addressed.

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Applications of Computed Tomography in Radiotherapy Treatment Planning

Goitein

1982

Progress in Medical Radiation Physics

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A High Pressure Xenon Proportional Chamber for X-Ray Laminographic Reconstruction Using Fan Beam Geometry

Cited by 13 publications

References 6 publications

Iterative relaxation methods for image reconstruction

Iterative relaxation methods for image reconstruction

Advances in Technological Design to Optimize Exposure and Improve Image Quality

Applications of Computed Tomography in Radiotherapy Treatment Planning

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