### Abstract

In this paper, we propose a new directional 3-dimensional interpolation algorithm for brain magnetic resonance (MR) images. Typically, brain images consist of a number of two-dimensional images. In order to reconstruct 3 dimensional objects from slices of 2 dimensional images, interpolation operation is required. In most interpolation algorithms in the three-dimensional space, the interpolation operation is performed separately in each coordinate that is orthogonal to each other. However, since the shape of the brain is roughly a sphere, interpolation along these three orthogonal coordinates may result in some information loss, particularly when gradients of pixel values have directions similar to the directions of the coordinates. In order to address this problem, we propose a new directional interpolation algorithm. In the proposed algorithm, we first perform the interpolation along two orthogonal coordinates. Typically, the two orthogonal coordinates would be the coordinates of the two dimensional images. And then, in order to find the best interpolation in the remaining coordinate, we search various directions that are not orthogonal to the two orthogonal coordinates using cost functions. Experiments show promising results.

Original language | English |
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Pages (from-to) | 77-84 |

Number of pages | 8 |

Journal | Proceedings of SPIE - The International Society for Optical Engineering |

Volume | 4044 |

Publication status | Published - 2000 Jan 1 |

Event | Hybrid Image and Signal Processing VII - Orlando, FL, USA Duration: 2000 Apr 25 → 2000 Apr 25 |

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### All Science Journal Classification (ASJC) codes

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering

### Cite this

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*Proceedings of SPIE - The International Society for Optical Engineering*, vol. 4044, pp. 77-84.

**Three-dimensional interpolation for brain MR images.** / Lee, Chulhee; Shin, Huh; Sohn, Kwang Hoon.

Research output: Contribution to journal › Conference article

TY - JOUR

T1 - Three-dimensional interpolation for brain MR images

AU - Lee, Chulhee

AU - Shin, Huh

AU - Sohn, Kwang Hoon

PY - 2000/1/1

Y1 - 2000/1/1

N2 - In this paper, we propose a new directional 3-dimensional interpolation algorithm for brain magnetic resonance (MR) images. Typically, brain images consist of a number of two-dimensional images. In order to reconstruct 3 dimensional objects from slices of 2 dimensional images, interpolation operation is required. In most interpolation algorithms in the three-dimensional space, the interpolation operation is performed separately in each coordinate that is orthogonal to each other. However, since the shape of the brain is roughly a sphere, interpolation along these three orthogonal coordinates may result in some information loss, particularly when gradients of pixel values have directions similar to the directions of the coordinates. In order to address this problem, we propose a new directional interpolation algorithm. In the proposed algorithm, we first perform the interpolation along two orthogonal coordinates. Typically, the two orthogonal coordinates would be the coordinates of the two dimensional images. And then, in order to find the best interpolation in the remaining coordinate, we search various directions that are not orthogonal to the two orthogonal coordinates using cost functions. Experiments show promising results.

AB - In this paper, we propose a new directional 3-dimensional interpolation algorithm for brain magnetic resonance (MR) images. Typically, brain images consist of a number of two-dimensional images. In order to reconstruct 3 dimensional objects from slices of 2 dimensional images, interpolation operation is required. In most interpolation algorithms in the three-dimensional space, the interpolation operation is performed separately in each coordinate that is orthogonal to each other. However, since the shape of the brain is roughly a sphere, interpolation along these three orthogonal coordinates may result in some information loss, particularly when gradients of pixel values have directions similar to the directions of the coordinates. In order to address this problem, we propose a new directional interpolation algorithm. In the proposed algorithm, we first perform the interpolation along two orthogonal coordinates. Typically, the two orthogonal coordinates would be the coordinates of the two dimensional images. And then, in order to find the best interpolation in the remaining coordinate, we search various directions that are not orthogonal to the two orthogonal coordinates using cost functions. Experiments show promising results.

UR - http://www.scopus.com/inward/record.url?scp=0033683577&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033683577&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0033683577

VL - 4044

SP - 77

EP - 84

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

SN - 0277-786X

ER -