Uniqueness of the Gaussian Kernel for Scale-Space Filtering
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Geometric methods for analysis of ridges in n-dimensional images
Geometric methods for analysis of ridges in n-dimensional images
ACM Transactions on Graphics (TOG)
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
A visual pathway for shape-based invariant classification of gray scale images
Integrated Computer-Aided Engineering - Artificial Neural Networks
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
On visual similarity based 2D drawing retrieval
Computer-Aided Design
Spherical harmonics and distance transform for image representation and retrieval
IDEAL'09 Proceedings of the 10th international conference on Intelligent data engineering and automated learning
Mixed color/level lines and their stereo- matching with a modified Hausdorff distance
Integrated Computer-Aided Engineering
Automatic image search based on improved feature descriptors and decision tree
Integrated Computer-Aided Engineering
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In this paper, we propose a spectral descriptor for shapes of objects. The method relies on transforming the 2D objects into 3D space; distance transform and scale space theory is used to transform objects into 3D space. Spherical harmonics of the voxel grid are used to obtain shape descriptors. The proposed methods are compared against two existing methods which use spherical harmonics for shape based retrieval of images. Comparison is done based on ranking of images which is articulated in recall-precision curves. MPEG-7 Still Images Content Set is used for performing experiments. Experimental results show that the performance of the proposed descriptor is significantly better than other methods in the same category.