000 03086nam a22005535i 4500
001 978-0-387-92712-1
003 DE-He213
005 20140220084456.0
007 cr nn 008mamaa
008 100715s2010 xxu| s |||| 0|eng d
020 _a9780387927121
_9978-0-387-92712-1
024 7 _a10.1007/978-0-387-92712-1
_2doi
050 4 _aQA319-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.7
_223
100 1 _aFeeman, Timothy G.
_eauthor.
245 1 4 _aThe Mathematics of Medical Imaging
_h[electronic resource] :
_bA Beginner’s Guide /
_cby Timothy G. Feeman.
264 1 _aNew York, NY :
_bSpringer New York,
_c2010.
300 _aX, 141p. 20 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Undergraduate Texts in Mathematics and Technology,
_x1867-5506
505 0 _aX-rays -- The Radon Transform -- Back Projection -- Complex Numbers -- The Fourier Transform -- Two Big Theorems -- Filters and Convolution -- Discrete Image Reconstruction -- Algebraic Reconstruction Techniques -- MRI—An Overview.
520 _aA Beginner's Guide to the Mathematics of Medical Imaging presents the basic mathematics of computerized tomography – the CT scan – for an audience of undergraduates in mathematics and engineering. Assuming no prior background in advanced mathematical analysis, topics such as the Fourier transform, sampling, and discrete approximation algorithms are introduced from scratch and are developed within the context of medical imaging. A chapter on magnetic resonance imaging focuses on manipulation of the Bloch equation, the system of differential equations that is the foundation of this important technology. The text is self-contained with a range of practical exercises, topics for further study, and an ample bibliography, making it ideal for use in an undergraduate course in applied or engineering mathematics, or by practitioners in radiology who want to know more about the mathematical foundations of their field.
650 0 _aMathematics.
650 0 _aRadiology, Medical.
650 0 _aComputer science.
650 0 _aComputer vision.
650 0 _aFunctional analysis.
650 0 _aIntegral Transforms.
650 0 _aBiomedical engineering.
650 1 4 _aMathematics.
650 2 4 _aFunctional Analysis.
650 2 4 _aImaging / Radiology.
650 2 4 _aIntegral Transforms, Operational Calculus.
650 2 4 _aMath Applications in Computer Science.
650 2 4 _aComputer Imaging, Vision, Pattern Recognition and Graphics.
650 2 4 _aBiomedical Engineering.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387927114
830 0 _aSpringer Undergraduate Texts in Mathematics and Technology,
_x1867-5506
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-92712-1
912 _aZDB-2-SMA
999 _c109868
_d109868