Compare Prices | Create Shopping Lists with Price Drop Alerts | Set Coupons, Promo Codes & Sales Alerts | Get Access to Exclusive Deals and Much More... All in One Place | Read all about it here

Questions of Uniqueness and Resolution in Reconstruction from Projections

Questions of Uniqueness and Resolution in Reconstruction from Projections

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783540090878
Condition
New
Product Description

Reconstruction from projections has revolutionized radiology and has now become one of the most important tools of medical diagnosis The E. M. I. Scanner is one example. In this text, some fundamental theoretical and practical questions are resolved. Despite recent research activity in the area, the crucial subject of the uniqueness of the reconstruction and the effect of noise in the data posed some unsettled fundamental questions. In particular, Kennan Smith proved that if we describe an object by a C^inf_o function, i.e., infinitely differentiable with compact support, then there are other objects with the same shape, i.e., support, which can differ almost arbitrarily and still have the same projections in finitely many directions. On the other hand, he proved that objects in finite dimensional function spaces are uniquely determined by a single projection for almost all angles, i.e., except on a set of measure zero. Along these lines, Herman and Rowland in "Three Methods for reconstructing objects from x-rays: a comparative study" (1973) showed that reconstructions obtained from the commonly used algorithms can grossly misrepresent the object and that the algorithm which produced the best reconstruction when using noiseless data gave unsatisfactory results with noisy data. Equally important are reports in Science, and personal communications by radiologists indicating that in medical practice failure rates of reconstruction vary from four to twenty percent. within this work, the mathematical dilemma posed by Kennan Smith's result is discussed and clarified.

Available Colors
Available Sizes
1 Offer Price Range: $39.99 - $39.99
BEST PRICE

Single Product Purchase

$36.00
@ Link.springer.com with extra coupon Get Coupon & BUY

Price Comparison

Seller Contact Seller List Price On Sale Shipping Best Promo Final Price Volume Discount Financing Availability Seller's Page
BEST PRICE
1 Product Purchase
@ Link.springer.com
Contact Store Call Store Contact Support
$39.99 $39.99

10% OFF
This deals requires coupon Get Code Here
$36.00
See Site In stock Visit Store

Similar Products

Biodeterioration Research 2

$39.99

Color It Blue

$3.71

Parallels and Actuals of Political Development

$39.99

Die Kopffule der Speisezwiebel

$49.99

Metalloproteins

$169.99

Economic Sanctions vs. Soft Power

$54.99

Resistance to Ibritumomab in Lymphoma

$109.99

Electron Correlation and Magnetism in Narrow-Band Systems

$84.99

DevOps for Digital Leaders

$24.99

New Business Creation

$54.99

Cardiomyopathies and Heart Failure

$169.00

Academic Identity and the Place of Stories

$39.99

Performing Story on the Contemporary Stage

$54.99

Geophysik III

$109.99

Tools of Effective Compliance

$59.99

Intelligent Distributed Computing VII

$169.00

Handbook of the Sociology of the Military

$189.00

Objective-C for Absolute Beginners

$29.99

Proteins and Nucleic Acids in Plant Systematics

$84.99

Machine Learning for Materials Discovery

$129.00

Transformation religiser Symbole und religiser Kommunikation in der Diaspora

$34.99

Politisches Denken. Jahrbuch 1994

$39.99

Grundfragen der Weltagrarentwicklung

$59.99

Cytogenetics of the Festuca-Lolium Complex

$84.99

Interessenvermittlung zwischen Konkurrenz und Konkordanz

$59.99

Fragment-Based Drug Discovery and X-Ray Crystallography

$329.99

M.K. Gandhi, Media, Politics and Society

$69.99

Clinical Atlas of Peripheral Retinal Disorders

$74.99

Factor X

$109.99

Fake News vs Media Studies

$32.99

The Worst!: Dragons are the Worst!

$4.46

Grundlagen der Chemotherapie

$79.99

The Semantic Web ISWC 2022

$109.99

Grenzschichten in Gas-Teilchen-Strmungen hinter Stowellen

$59.99

Advances on Practical Applications of Agents and Multi-Agent Systems

$169.00

Image and Graphics

$54.99

Analysis III

$49.99

Homomorphismen und Reduktionen linearer Sprachen

$59.99

Biotechnologie fr Ingenieure

$84.99

Emerging Economies During and After the Great Recession

$109.99