Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Distance transforms: properties and machine vision applications
CVGIP: Graphical Models and Image Processing
Distance transformation and skeleton for shape feature analysis
IAPR Proceedings of the international workshop on Visual form: analysis and recognition
Regular Article: Computing Fourier Transforms and Convolutions on the 2-Sphere
Advances in Applied Mathematics
Graphical Models and Image Processing
Linear Time Euclidean Distance Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A Linear Bound on the Complexity of the Delaunay Triangulation of Points on Polyhedral Surfaces
Discrete & Computational Geometry
Shape representations and algorithms for three-dimensional model retrieval
Shape representations and algorithms for three-dimensional model retrieval
On visual similarity based 2D drawing retrieval
Computer-Aided Design
Spectral shape descriptor using spherical harmonics
Integrated Computer-Aided Engineering
Improvement of the disc harmonic moments descriptor by an exponentially decaying distance transform
SSPR&SPR'10 Proceedings of the 2010 joint IAPR international conference on Structural, syntactic, and statistical pattern recognition
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In this paper, we have proposed a method for 2D image retrieval based on object shapes. The method relies on transforming the 2D images into 3D space based on distance transform. Spherical harmonics are obtained for the 3D data and used as descriptors for the underlying 2D images. The proposed method is compared against two existing methods which use spherical harmonics for shape based retrieval of images. MPEG-7 Still Images Content Set is used for performing experiments; this dataset consists of 3621 still images. Experimental results show that the performance of the proposed descriptors is significantly better than other methods in the same category.