Implementation of blob basis functions in proton CT reconstruction

Howard Heaton; Caesar E. Ordoñez; Yair Censor; Reinhard W. Schulte

Implementation of blob basis functions in proton CT reconstruction

Howard Heaton, Caesar E. Ordoñez, Yair Censor, Reinhard W. Schulte

Department of Mathematics

Research output: Contribution to conference › Poster

Abstract

Blob basis functions yield promising results in multiple imaging modalities and we seek to test their use in proton CT (pCT). Unlike the straight-line approximations in
x-ray CT, in pCT discrete steps along a most likely path formalism of the nonlinear paths of Coulomb-scattered protons is used. Below is an illustration of the basis
functions of interest. Voxels have a uniform value inside a set domain while blobs are spherically symmetric and taper smoothly to zero at their border.

Original language	English
State	Published - Jan 2016
Event	Joint Mathematics Meetings - Washington State Convention Center & Sheraton Seattle Hotel, Seattle, United States Duration: 6 Jan 2016 → 9 Jan 2016 Conference number: Meeting #1116

Conference

Conference	Joint Mathematics Meetings
Abbreviated title	JMM
Country/Territory	United States
City	Seattle
Period	6/01/16 → 9/01/16

Cite this

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title = "Implementation of blob basis functions in proton CT reconstruction",

abstract = "Blob basis functions yield promising results in multiple imaging modalities and we seek to test their use in proton CT (pCT). Unlike the straight-line approximations in x-ray CT, in pCT discrete steps along a most likely path formalism of the nonlinear paths of Coulomb-scattered protons is used. Below is an illustration of the basis functions of interest. Voxels have a uniform value inside a set domain while blobs are spherically symmetric and taper smoothly to zero at their border.",

author = "Howard Heaton and Ordo{\~n}ez, \{Caesar E.\} and Yair Censor and Schulte, \{Reinhard W.\}",

year = "2016",

month = jan,

language = "English",

note = "Joint Mathematics Meetings, JMM ; Conference date: 06-01-2016 Through 09-01-2016",

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TY - CONF

T1 - Implementation of blob basis functions in proton CT reconstruction

AU - Heaton, Howard

AU - Ordoñez, Caesar E.

AU - Censor, Yair

AU - Schulte, Reinhard W.

N1 - Conference code: Meeting #1116

PY - 2016/1

Y1 - 2016/1

N2 - Blob basis functions yield promising results in multiple imaging modalities and we seek to test their use in proton CT (pCT). Unlike the straight-line approximations in x-ray CT, in pCT discrete steps along a most likely path formalism of the nonlinear paths of Coulomb-scattered protons is used. Below is an illustration of the basis functions of interest. Voxels have a uniform value inside a set domain while blobs are spherically symmetric and taper smoothly to zero at their border.

AB - Blob basis functions yield promising results in multiple imaging modalities and we seek to test their use in proton CT (pCT). Unlike the straight-line approximations in x-ray CT, in pCT discrete steps along a most likely path formalism of the nonlinear paths of Coulomb-scattered protons is used. Below is an illustration of the basis functions of interest. Voxels have a uniform value inside a set domain while blobs are spherically symmetric and taper smoothly to zero at their border.

UR - http://math.haifa.ac.il/yair/WEBPAGE-AFTER-200915/JMM-Blob-Poster-2016.pdf

M3 - Poster

T2 - Joint Mathematics Meetings

Y2 - 6 January 2016 through 9 January 2016

ER -

Implementation of blob basis functions in proton CT reconstruction

Abstract

Conference

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