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BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY
 

Summary: BULLETIN (New Series) OF THE
AMERICAN MATHEMATICAL SOCIETY
Volume 00, Number 0, Pages 000000
S 0273-0979(XX)0000-0
MATHEMATICAL METHODS IN MEDICAL IMAGE
PROCESSING
SIGURD ANGENENT, ERIC PICHON, AND ALLEN TANNENBAUM
Abstract. In this paper, we describe some central mathematical problems
in medical imaging. The subject has been undergoing rapid changes driven
by better hardware and software. Much of the software is based on novel
methods utilizing geometric partial differential equations in conjunction with
standard signal/image processing techniques as well as computer graphics fa-
cilitating man/machine interactions. As part of this enterprise, researchers
have been trying to base biomedical engineering principles on rigorous mathe-
matical foundations for the development of software methods to be integrated
into complete therapy delivery systems. These systems support the more ef-
fective delivery of many image-guided procedures such as radiation therapy,
biopsy, and minimally invasive surgery. We will show how mathematics may
impact some of the main problems in this area including image enhancement,
registration, and segmentation.

  

Source: Angenent, Sigurd - Department of Mathematics, University of Wisconsin at Madison

 

Collections: Mathematics