Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine PDF
Preview Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine
Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine Computational Imaging and Vision Managing Editor: MAX A. VIERGEVER. Utrecht University, Utrecht, The Netherlands Editorial Board: OUVIER D. FAUGERAS, INRlA, Sophia-Antipolis, France JAN J. KOENDERINK, Utrecht University, Utrecht, The Netherlands STEPHEN M. PIZER, University ofN orth Carolina, Chapel Hill, USA SABURO TSUn, Osaka University, Osaka, Japan STEVEN W. ZUCKER, McGill University, Montreal, Canada Volume 4 Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine Edited by Pierre Grangeat and lean-Louis Amans Laboratoire d' Electronique de Technologie et d'Instrumentation, a Commissariat l' Energie Atomique, Technologies Avancees, Grenoble, France Springer-Science+Business Media, B.Y. A c.I.P. Catalogue record for this book is available from the Library of Congress. ISBN 978-90-481-4723-6 ISBN 978-94-015-8749-5 (eBook) DOI 10.1007/978-94-015-8749-5 Printed on acid-free paper All Rights Reserved © Springer Science+ Business Media Dordrecht 1996 Originally published by Kluwer Academic Publishers in 1996. Softcover reprint of the hardcover 1s t edition 1996 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner. TABLE OF CONTENTS PREFACE vii ACKNOLEDGEMENTS ix Part 1 : CONE-BEAM AND NEW GEOMETRIES RECONSTRUCTION Comparison of three 3D reconstruction methods from cone-beam data 3 C. Axelsson-Jacobson, R. Guillemaud, P.-E. Danielsson, P. Grangeat. M Defrise, R. Clack Filtered backprojection algorithms for attenuated parallel and cone-beam projections 19 sampled on a sphere Y. Weng, G.L. Zeng, G. T. Gullberg A theorem on divergent projections 35 P. R. Edholm, P.-E. Danielsson An adaptative and constrained model for 3D X-ray vascular reconstruction 47 E. Payot, R. Guillemaud, Y. Trousset, F Preteux Cone-beam algebraic reconstruction using edge-preserving regularization 59 1. Laurette, P.M Koulibaly, L. Blanc-Feraud, P. Charbonnier, J.c. Nosmas, M Barlaud, J. Darcourt Eigen analysis of cone-beam scanning geometries 75 G.L. Zeng, G. T. Gullberg, S.A. Foresti Efficient sampling in 3D tomography : parallel schemes 87 L. Desbat Part 2 : SPECT QUANTITATION Analytical approaches for image reconstruction in 3D SPECT 103 X Pan, c.E. Metz Quantitative brain SPECT in three dimensions: an analytical approach without 117 transmission scans Z. Liang, J. Ye, J. Cheng, D. P. Harrington An analytical approach of compensation for non-uniform attenuation and 3D detector 133 response in cardiac SPECT imaging S. J. Glick, M A. King, T.-S. Pan, E.J. Soares vi Characteristics of reconstructed point response in three-dimensional spatially variant 149 detector response compensation in SPECT B.MW. Tsui,XD. Zhao, E.C. Frey, z.-w. Ju, G.T. Gullberg Evaluation offully 3D iterative scatter compensation 163 and post-reconstruction filtering in SPECT F.J. Beekman, MA. Viergever An investigation of two approximation methods for improving the speed of 3D iterative 177 reconstruction-based scatter compensation E.c. Frey, z.-w. Ju, B.MW. Tsui Part 3: PATIENT MOTION AND GATED SPECT Evaluation of a 3D OS-EM reconstruction algorithm for correction of patient motion in 197 emission tomography R.R. Fulton, B.F. Hutton, M Braun, P.K. Hooper, S. Eberl, S.R. Meikle Space-time Gibbs priors applied to gated SPECT myocardial perfusion studies 209 D.S. Lalush , B. M W. Tsui Reconstruction of gated SPECT myocardial images 225 images using a temporal evolution model J. de Murcia, P. Grangeat Part 4: PET QUANTITATION AND RECONSTRUCTION Design and performance of 3D single photon transmission measurement on a positron 245 tomograph with continuously rotating detectors R.A. Dekemp, w.F. Jones, R.S. Beanlands, C. Nahmias A single scatter simulation technique for scatter correction in 3D PET 255 c.c. Watson, D. Newport, ME. Casey The effect of energy threshold on image variance in fully 3D PET 269 J. M Ollinger - FIPI : fast 3-D PET reconstruction by Fourier inversion of rebinned plane integrals 277 C. Wu, C. E. Ordonez, C. T. Chen Performance of a fast maximum likelihood algorithm for fully 3D PET reconstruction 297 S. Matel, J. A. Browne AUTHOR INDEX 317 PREFACE This book contains a selection of communications presented at the Third International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, held 4-6 July 1995 at Domaine d' Aix-Marlioz, Aix-Ies-Bains, France. This nice resort provided an inspiring environment to hold discussions and presentations on new and developing issues. Roentgen discovered X-ray radiation in 1895 and Becquerel found natural radioactivity in 1896 : a hundred years later, this conference was focused on the applications of such radiations to explore the human body. If the physics is now fully understood, 3D imaging techniques based on ionising radiations are still progressing. These techniques include 3D Radiology, 3D X-ray Computed Tomography (3D-CT), Single Photon Emission Computed Tomography (SPECT), Positron Emission Tomography (PET). Radiology is dedicated to morphological imaging, using transmitted radiations from an external X-ray source, and nuclear medicine to functional imaging, using radiations emitted from an internal radioactive tracer. In both cases, new 3D tomographic systems will tend to use 2D detectors in order to improve the radiation detection efficiency. Taking a set of 2D acquisitions around the patient, 3D acquisitions are obtained. Then, fully 3D image reconstruction algorithms are required to recover the 3D image of the body from these projection measurements. Besides the gain in sensitivity, these fully 3D approaches provide many new opportunities. For instance, it becomes possible to take into account all the 3D neighbours of a given local value, and thus to have a better control of the smoothing effect linked to regularisation constraints, or to have a more precise description of matter-radiation interactions to compensate for attenuation, scatter or blurring effects. With 3D acquisitions, we get access to 3D motion compensation linked for instance to patient displacement. We can also introduce complex 3D models to improve the sharpness of the images or to design dedicated algorithms such as for vascular trees. The obstacles concerning the development of such 3D tomographic systems are in the increase of scatter radiations and in the large size of data files to process. Thus, success will depend on precise correction processing and efficient reconstruction algorithms. We also need to adapt the acquisition geometries and trajectories to the region of interest we want to explore, for instance in cone-beam tomography. What will the next challenge be ? 4D image reconstruction for time varying objects is beginning to be explored such as in angiography, to study abnormal blood flow circulation between arteries and veins, or in cardiac gated SPECT, to reduce the blurring caused by heart motion, or in 4D image reconstruction of functional images. We have introduced this subject among the topics of the meeting and we are sure it will become increasingly important in the future. vii viii This book is organised in four parts covering the following topics : -cone-beam and new geometries reconstruction, -SPECT quantitation, -patient motion and gated SPECT, -PET quantitation and reconstruction. We trust this issue contents update and new insight of on-going researches in fully 3D image reconstruction in radiology and nuclear medicine and we do hope it will contribute to the promotion and development of this expanding field. Pierre GRANGEAT, Chairman, and Jean-Louis AMANS, Co-editor. ACKNOWLEDGEMENTS The editors would particularly like to thank the authors who contributed to this issue, the Scientific Committee for their help to the selection and the examination of the papers, and also complementary reviewers. We are indebted to the members of the Organizing Committee who have worked hard to make this 1995 International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine a complete success, and to Mireille Berthier who spent considerable amount of time mailing and managing data bases. Lastly, a special thank you to all the sponsors for their financial support. Scientific Committee BENDRIEM, Bernard, Orsay, France, COATRIEUX, Jean-Louis, Rennes, France, DEFRISE, Michel, Bruxelles, Belgium, DI PAOLA, Robert, Villejuif, France, ERIKSSON, Lars, Stockholm, Sweden, GARNERO, Line, Orsay, France, GULLBERG, Grant, Salt Lake City, USA, JASZCZAK, Ronald, Durham, USA, KUDO, Hiroyuki, Tsukuba, Japan, LEWITT, Robert, Philadelphia, USA, NATTERER, Frank, Miinster, Germany, TOWNSEND, David, Pittsburg, USA, TROUSSET, Yves, Buc, France, TSUI, Benjamin, Chapel Hill, USA. Complementary reviewers BARLAUD, Michel, Valbonne, France, DANIELSSON, Per-Erik, Linkoping, Sweden, GUILLAND, David, Durham, USA, KINAHAN, Paul, Pittsburg, USA, LI, Jianying, Durham, USA, PARKER, Dennis, Salt Lake City, USA, PEYRIN, Fran<;oise, Grenoble, France, ROUX, Christian, Brest, France, SAUER, Ken, Notre Dame, USA, SMITH, Mark, Durham, USA, TUY, Heang, Highland, USA, WANG, Huili, Durham, USA, ZENG, Larry, Salt Lake City, USA. ix x Meeting Organizing Committee ALLEMAND, Robert, LETI, Grenoble, France, AMANS, Jean-Louis, LETI, Grenoble, France, BOUVIER, Alain, LETI, Grenoble, France, DARIER, Pierre, LETI, Grenoble, France, DELORME, Nathalie, LETI, Grenoble, France, GRANGEAT, Pierre, LETI, Grenoble, France, GUILLEMAUD, Regis, LETI, Grenoble, France, MAZIERE, Bernard, SHFJ, Orsay, France. Patronage an~ financial support Conseil General de la Savoie, CEA, CNRS, INSERM, CTI Inc. GE Medical Systems Europe, SIEMENS Medical Systems.
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