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D. S. Meek and D. J. Walton, “On Surface Normal and Gaussian Curvature Approximations Given Data Sampled from Smooth Surface,” Computer Aided Geometric Design, Vol. 17, No. 6, 2000, pp. 521-543. doi:10.1016/S0167-8396(00)00006-6

has been cited by the following article:

• TITLE: A 3D Matching Method for Organic Training Samples Alignment Based on Surface Curvature Distribution

  AUTHORS: Guangxu Li, Hyoungseop Kim, Joo Kooi Tan, Seiji Ishikawa, Akiyoshi Yamamoto

  KEYWORDS: Training Samples Alignment, Statistical Shape Model, Gauss Map, K-Means

  JOURNAL NAME: Open Journal of Medical Imaging, Vol.1 No.2, December 9, 2011

  ABSTRACT: The fundamental step to get a Statistical Shape Model (SSM) is to align all the training samples to the same spatial modality. In this paper, we propose a new 3D alignment method for organic training samples matching, whose modalities are orientable and surface figures could be recognized. It is a feature based alignment method which matches two models depending on the distribution of surface curvature. According to the affine transformation on 2D Gaussian map, the distances between the corresponding parts on surface could be minimized. We applied our proposed method on 5 cases left lung training samples alignment and 4 cases liver training samples alignment. The experiment results were performed on the left lung training samples and the liver training samples. The availability of proposed method was confirmed.