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# Isosurfaces computation for approximating boundary surfaces within three-dimensional images

[+] Author Affiliations
Lisheng Wang

Shanghai Jiao Tong University, Department of Automation, Institute of Image Processing and Pattern Recognition, Shanghai 200030 China

Jing Bai

Tsinghua University, Department of Biomedical Engineering, Beijing 100084 China

Tien-Tsin Wong

The Chinese University of Hong Kong, Department of Computer Science and Engineering, Shatin, New Territory, Hong Kong, China

Pheng-Ann Heng

The Chinese University of Hong Kong, Department of Computer Science and Engineering, Shatin, New Territory, Hong Kong, China and Chinese Academy of Sciences, The Chinese Universiyy of Hong Kong, Shenzhen Institute of Advanced Integration Technology, Shenzhen, China

J. Electron. Imaging. 16(1), 013011 (MarchÂ 09, 2007). doi:10.1117/1.2712451
History: Received MayÂ 12, 2005; Revised SeptemberÂ 22, 2006; Accepted OctoberÂ 02, 2006; Published MarchÂ 09, 2007
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## Abstract

In the visualization of three-dimensional (3D) images, specific isosurfaces are usually extracted from 3D images and used to represent (approximate) boundary surfaces of certain structures within 3D images. In order to well approximate the boundary surfaces of these structures, it is important to determine a good isosurface for each boundary surface. An isosurface is said to be a good isosurface of a boundary surface if it can approximate the boundary surface with the smallest error under certain error measuring criteria. The mathematical model describing the approximation problem of a boundary surface by isosurfaces is constructed and studied. The method used to deduce good isosurfaces for the boundary surfaces within 3D discrete images is presented. The proposed method is illustrated by examples with different real 3D biomedical images.

Citation

Lisheng Wang ; Jing Bai ; Tien-Tsin Wong and Pheng-Ann Heng
"Isosurfaces computation for approximating boundary surfaces within three-dimensional images", J. Electron. Imaging. 16(1), 013011 (MarchÂ 09, 2007). ; http://dx.doi.org/10.1117/1.2712451

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