Algorithm 659: Implementing Sobol's quasirandom sequence generator
ACM Transactions on Mathematical Software (TOMS)
Determining number of clusters and prototype locations via multi-scale clustering
Pattern Recognition Letters
The Topological Structure of Scale-Space Images
Journal of Mathematical Imaging and Vision
Clustering by Scale-Space Filtering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Mean Shift: A Robust Approach Toward Feature Space Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space Theory in Computer Vision
Scale-Space Theory in Computer Vision
Gaussian Scale-Space Theory
Linear Scale-Space has First been Proposed in Japan
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
Mean Shift, Mode Seeking, and Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast nonparametric clustering with Gaussian blurring mean-shift
ICML '06 Proceedings of the 23rd international conference on Machine learning
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
Mode estimation using pessimistic scale space tracking
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
On the number of modes of a Gaussian mixture
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Scale-Space hierarchy of singularities
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
Figure field analysis of linear scale-space image
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Scale-based clustering using the radial basis function network
IEEE Transactions on Neural Networks
Statistically Valid Graph Representations of Scale-Space Geometry
ICISP '08 Proceedings of the 3rd international conference on Image and Signal Processing
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This paper addresses the scale-space clustering and a validation scheme. The scale-space clustering is an unsupervised method for grouping spatial data points based on the estimation of probability density function (PDF) using a Gaussian kernel with a variable scale parameter. It has been suggested that the detected cluster, represented as a mode of the PDF, can be validated by observing the lifetime of the mode in scale space. Statistical properties of the lifetime, however, are unclear. In this paper, we propose a concept of the `critical scale' and explore perspectives on handling it for the cluster validation.