Distance transformation and skeleton for shape feature analysis
IAPR Proceedings of the international workshop on Visual form: analysis and recognition
Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning
IEEE Transactions on Pattern Analysis and Machine Intelligence
On digital distance transforms in three dimensions
Computer Vision and Image Understanding
Finding the minimal set of maximum disks for binary objects
Graphical Models and Image Processing
Efficient shape representation by minimizing the set of centres of maximal discs/spheres
Pattern Recognition Letters
Distance-ordered homotopic thinning: a skeletonization algorithm for 3D digital images
Computer Vision and Image Understanding
A parallel 3D 12-subiteration thinning algorithm
Graphical Models and Image Processing
3-D Image Processing Algorithms
3-D Image Processing Algorithms
Digital Picture Processing
A 3D fully parallel surface-thinning algorithm
Theoretical Computer Science
Non-manifold medial surface reconstruction from volumetric data
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
Polygonization of volumetric skeletons with junctions
Computer-Aided Design
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In this article, we present the Euclidean distance transformation (EDT) of three-dimensional (3D) binary pictures and applications, with stress on Dr. Toyofumi Saito's work in collaboration with one of the authors. First, EDT, skeletons, and reverse EDT are defined, and then the algorithms to perform them are presented. Next, a sequential-type 3D thinning algorithm that preserves the topology of an input object is introduced. This algorithm is derived by combining an ordinary twodimensional thinning algorithm with EDT. Finally, applications to medical image processing are presented such as automated path finding in virtual endoscopy, as well as analysis of 3D pathological sample images. Dr. Toyofumi Saito, an associate professor who was one of the most active researchers in the field of image processing in Japan and a young leader of the author's laboratory, and who was initially scheduled to be the first author of this paper, passed away on 26 October 2000. We have lost a most reliable and most promising colleague, an experienced supervisor, and a very sincere friend. He is deeply missed by all in his family, his friends, and his colleagues. On behalf of the laboratory the authors wish to dedicate this short note in memory of Dr. Toyofumi Saito and to express our sincere condolences to his loved ones.