Hausdorff distances and interpolations
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
IEEE Computer Graphics and Applications
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Shape-Based Interpolation of Binary 3-D Images using Morphological Skeletonization
ICMCS '99 Proceedings of the IEEE International Conference on Multimedia Computing and Systems - Volume 2
Inclusion relationships and homotopy issues in shape interpolation for binary images
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
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Some image processing and analysis applications require performing image interpolation. This paper focuses on interpolation approaches that treat the shapes and the structures of binary images. A summary of some interpolation methods is presented, and their behavior concerning inclusion relationships and homotopy issues is studied. An inclusion relationship property that considers these aspects is introduced in this work. Furthermore, a complete technique based on this property in a recursive manner is presented. The paper shows that such a property can improve shape interpolation results in a relatively easy manner, particularly those concerning inclusion relationships between shapes. Several experimental results are provided.