Introduction to mathematical morphology
Computer Vision, Graphics, and Image Processing
A survey of free-form object representation and recognition techniques
Computer Vision and Image Understanding
Morphological scale-space with application to three-dimensional object recognition
Morphological scale-space with application to three-dimensional object recognition
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
A mathematical morphology approach to image based 3D particle shape analysis
Machine Vision and Applications
A survey of content based 3D shape retrieval methods
Multimedia Tools and Applications
TransforMesh: a topology-adaptive mesh-based approach to surface evolution
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
On volume distribution features based 3d model retrieval
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
SHREC'10 track: large scale retrieval
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
Retrieval of 3D polygonal objects based on multiresolution signatures
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part II
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In this paper we use the erosion and dilation operators for characterizing 3D polygonal objects. The goal is to perform a similarity search in a set of distinct objects. The method applies successive dilations and erosions of the meshes in order to compute the difference volume as a function of the size of the structuring element. Because of appropriate pre-processing, the resulting function is invariant to translation, rotation and mesh resolution. On a set of 32 complex objects with different mesh resolutions, the method achieved an average ranking rate of 1.47, with 23 objects ranked first and 6 objects ranked second.