Nova Publishers
My Account Nova Publishers Shopping Cart
HomeBooksSeriesJournalsReference CollectionseBooksInformationSalesImprintsFor Authors
  Top » Catalog » Books » Physics » Mathematical Physics » Mathematical Physics Research Developments Chapters » My Account  |  Cart Contents  |  Checkout   
Quick Find
Use keywords to find the product you are looking for.
Advanced Search
What's New? more
Central Asia: Perspectives and Present Challenges
Shopping Cart more
0 items
Shipping & Returns
Privacy Notice
Conditions of Use
Contact Us
Notifications more
NotificationsNotify me of updates to Application of Multi-Dimensional Fourier Transforms to Tomography, pp. 321-370
Tell A Friend
Tell someone you know about this product.
Application of Multi-Dimensional Fourier Transforms to Tomography, pp. 321-370 $100.00
Authors:  (Natalie Baddour, Dept. of Mechanical Engineering, Univ. of Ottawa, Ottawa, Ontario, Canada)
The Fourier transform is one of the most useful tools in the scientific and engineering repertoire. By examining a function in the frequency domain, additional information and insights may be obtained. The Fourier transform may be applied to transform from temporal to frequency domains and/or from spatial to spatial-frequency domains. Furthermore, it may be extended into multi-dimensions, thereby expanding its scope to combined time and space
problems. One particular result that has spawned great applications in the field of imaging is the classical Fourier diffraction theorem of ultrasound tomography, which itself may be considered to be an analog of the Fourier slice theorem of straight-ray tomography. These
theorems relate the Fourier transform of measured data to the Fourier transform of the object being imaged. Image reconstruction algorithms are subsequently based on the fact that the object may be reconstructed if enough knowledge about its Fourier transform can be obtained through measurements. In fact, this theorem permits far greater generalization and can be applied to other imaging modalities using different physical mechanisms such as thermography, photoacoustics or diffuse photon density waves. In this chapter,
generalizations of the classical Fourier diffraction theorem are developed and applied to other imaging modalities via consistent application of multi-dimensional Fourier transforms. These
generalizations naturally lead to considerations of multi-dimensional Fourier transforms in curvilinear coordinates. 

Available Options:
Special Focus Titles
01.Violent Communication and Bullying in Early Childhood Education
02.Cultural Considerations in Intervention with Women and Children Exposed to Intimate Partner Violence
03.Chronic Disease and Disability: The Pediatric Lung
04.Fruit and Vegetable Consumption and Health: New Research
05.Fire and the Sword: Understanding the Impact and Challenge of Organized Islamism. Volume 2

Nova Science Publishers
© Copyright 2004 - 2021

Application of Multi-Dimensional Fourier Transforms to Tomography, pp. 321-370