Optimized Anisotropic Rotational Invariant Diffusion Scheme on Cone-Beam CT

Dirk-Jan Kroon; Cornelis H. Slump; Thomas J.J. Maal

doi:10.1007/978-3-642-15711-0_28

Optimized Anisotropic Rotational Invariant Diffusion Scheme on Cone-Beam CT

Dirk-Jan Kroon, Cornelis H. Slump, Thomas J.J. Maal

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

44 Citations (Scopus)

55 Downloads (Pure)

Abstract

Cone-beam computed tomography (CBCT) is an important image modality for dental surgery planning, with high resolution images at a relative low radiation dose. In these scans the mandibular canal is hardly visible, this is a problem for implant surgery planning. We use anisotropic diffusion filtering to remove noise and enhance the mandibular canal in CBCT scans. For the diffusion tensor we use hybrid diffusion with a continuous switch (HDCS), suitable for filtering both tubular as planar image structures. We focus in this paper on the diffusion discretization schemes. The standard scheme shows good isotropic filtering behavior but is not rotational invariant, the diffusion scheme of Weickert is rotational invariant but suffers from checkerboard artifacts. We introduce a new scheme, in which we numerically optimize the image derivatives. This scheme is rotational invariant and shows good isotropic filtering properties on both synthetic as real CBCT data.

Original language	English
Title of host publication	Medical Image Computing and Computer-Assisted Intervention – MICCAI 2010
Subtitle of host publication	13th International Conference, Beijing, China, September 20-24, 2010: Proceedings
Editors	Tianzi Jiang, Nassir Navab, Josien P.W. Pluim, Max A. Viergever
Place of Publication	Berlin
Publisher	Springer
Pages	221-228
Number of pages	8
ISBN (Electronic)	978-3-642-15711-0
ISBN (Print)	978-3-642-15710-3
DOIs	https://doi.org/10.1007/978-3-642-15711-0_28
Publication status	Published - 17 Sep 2010
Event	13th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2010 - Beijing, China, China Duration: 20 Sep 2010 → 24 Sep 2010 Conference number: 13

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer Verlag
Volume	6363
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	13th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2010
Abbreviated title	MICCAI
Country	China
City	Beijing, China
Period	20/09/10 → 24/09/10

Keywords

METIS-275683
CBCT
Cone Beam Computed tomography
EWI-18677
anisotropic Diffusion filtering
Image Processing
discretization scheme
IR-74098

Access to Document

10.1007/978-3-642-15711-0_28

Optimized Anisotropic Rotational
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Kroon, D-J., Slump, C. H., & Maal, T. J. J. (2010). Optimized Anisotropic Rotational Invariant Diffusion Scheme on Cone-Beam CT. In T. Jiang, N. Navab, J. P. W. Pluim, & M. A. Viergever (Eds.), Medical Image Computing and Computer-Assisted Intervention – MICCAI 2010: 13th International Conference, Beijing, China, September 20-24, 2010: Proceedings (pp. 221-228). (Lecture Notes in Computer Science; Vol. 6363). Berlin: Springer. https://doi.org/10.1007/978-3-642-15711-0_28

Kroon, Dirk-Jan ; Slump, Cornelis H. ; Maal, Thomas J.J. / Optimized Anisotropic Rotational Invariant Diffusion Scheme on Cone-Beam CT. Medical Image Computing and Computer-Assisted Intervention – MICCAI 2010: 13th International Conference, Beijing, China, September 20-24, 2010: Proceedings. editor / Tianzi Jiang ; Nassir Navab ; Josien P.W. Pluim ; Max A. Viergever. Berlin : Springer, 2010. pp. 221-228 (Lecture Notes in Computer Science).

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abstract = "Cone-beam computed tomography (CBCT) is an important image modality for dental surgery planning, with high resolution images at a relative low radiation dose. In these scans the mandibular canal is hardly visible, this is a problem for implant surgery planning. We use anisotropic diffusion filtering to remove noise and enhance the mandibular canal in CBCT scans. For the diffusion tensor we use hybrid diffusion with a continuous switch (HDCS), suitable for filtering both tubular as planar image structures. We focus in this paper on the diffusion discretization schemes. The standard scheme shows good isotropic filtering behavior but is not rotational invariant, the diffusion scheme of Weickert is rotational invariant but suffers from checkerboard artifacts. We introduce a new scheme, in which we numerically optimize the image derivatives. This scheme is rotational invariant and shows good isotropic filtering properties on both synthetic as real CBCT data.",

keywords = "METIS-275683, CBCT, Cone Beam Computed tomography, EWI-18677, anisotropic Diffusion filtering, Image Processing, discretization scheme, IR-74098",

author = "Dirk-Jan Kroon and Slump, {Cornelis H.} and Maal, {Thomas J.J.}",

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Kroon, D-J, Slump, CH & Maal, TJJ 2010, Optimized Anisotropic Rotational Invariant Diffusion Scheme on Cone-Beam CT. in T Jiang, N Navab, JPW Pluim & MA Viergever (eds), Medical Image Computing and Computer-Assisted Intervention – MICCAI 2010: 13th International Conference, Beijing, China, September 20-24, 2010: Proceedings. Lecture Notes in Computer Science, vol. 6363, Springer, Berlin, pp. 221-228, 13th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2010, Beijing, China, China, 20/09/10. https://doi.org/10.1007/978-3-642-15711-0_28

Optimized Anisotropic Rotational Invariant Diffusion Scheme on Cone-Beam CT. / Kroon, Dirk-Jan; Slump, Cornelis H.; Maal, Thomas J.J.

Medical Image Computing and Computer-Assisted Intervention – MICCAI 2010: 13th International Conference, Beijing, China, September 20-24, 2010: Proceedings. ed. / Tianzi Jiang; Nassir Navab; Josien P.W. Pluim; Max A. Viergever. Berlin : Springer, 2010. p. 221-228 (Lecture Notes in Computer Science; Vol. 6363).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Optimized Anisotropic Rotational Invariant Diffusion Scheme on Cone-Beam CT

AU - Kroon, Dirk-Jan

AU - Slump, Cornelis H.

AU - Maal, Thomas J.J.

PY - 2010/9/17

Y1 - 2010/9/17

N2 - Cone-beam computed tomography (CBCT) is an important image modality for dental surgery planning, with high resolution images at a relative low radiation dose. In these scans the mandibular canal is hardly visible, this is a problem for implant surgery planning. We use anisotropic diffusion filtering to remove noise and enhance the mandibular canal in CBCT scans. For the diffusion tensor we use hybrid diffusion with a continuous switch (HDCS), suitable for filtering both tubular as planar image structures. We focus in this paper on the diffusion discretization schemes. The standard scheme shows good isotropic filtering behavior but is not rotational invariant, the diffusion scheme of Weickert is rotational invariant but suffers from checkerboard artifacts. We introduce a new scheme, in which we numerically optimize the image derivatives. This scheme is rotational invariant and shows good isotropic filtering properties on both synthetic as real CBCT data.

AB - Cone-beam computed tomography (CBCT) is an important image modality for dental surgery planning, with high resolution images at a relative low radiation dose. In these scans the mandibular canal is hardly visible, this is a problem for implant surgery planning. We use anisotropic diffusion filtering to remove noise and enhance the mandibular canal in CBCT scans. For the diffusion tensor we use hybrid diffusion with a continuous switch (HDCS), suitable for filtering both tubular as planar image structures. We focus in this paper on the diffusion discretization schemes. The standard scheme shows good isotropic filtering behavior but is not rotational invariant, the diffusion scheme of Weickert is rotational invariant but suffers from checkerboard artifacts. We introduce a new scheme, in which we numerically optimize the image derivatives. This scheme is rotational invariant and shows good isotropic filtering properties on both synthetic as real CBCT data.

KW - METIS-275683

KW - CBCT

KW - Cone Beam Computed tomography

KW - EWI-18677

KW - anisotropic Diffusion filtering

KW - Image Processing

KW - discretization scheme

KW - IR-74098

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DO - 10.1007/978-3-642-15711-0_28

M3 - Conference contribution

SN - 978-3-642-15710-3

T3 - Lecture Notes in Computer Science

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EP - 228

BT - Medical Image Computing and Computer-Assisted Intervention – MICCAI 2010

A2 - Jiang, Tianzi

A2 - Navab, Nassir

A2 - Pluim, Josien P.W.

A2 - Viergever, Max A.

PB - Springer

CY - Berlin

ER -

Kroon D-J, Slump CH, Maal TJJ. Optimized Anisotropic Rotational Invariant Diffusion Scheme on Cone-Beam CT. In Jiang T, Navab N, Pluim JPW, Viergever MA, editors, Medical Image Computing and Computer-Assisted Intervention – MICCAI 2010: 13th International Conference, Beijing, China, September 20-24, 2010: Proceedings. Berlin: Springer. 2010. p. 221-228. (Lecture Notes in Computer Science). https://doi.org/10.1007/978-3-642-15711-0_28