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Book ChapterDOI

Scale-Space Clustering on the Sphere

Yoshihiko Mochizuki, +4 more
- pp 417-424
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TLDR
An algorithm for scale-space clustering of point cloud on the sphere using the methodology for the estimation of the density distribution of the points in the linear scale space is presented.
Abstract: 
We present an algorithm for scale-space clustering of point cloud on the sphere using the methodology for the estimation of the density distribution of the points in the linear scale space. Our algorithm regards the union of observed point sets as an image defined by the delta functions located at the positions of the points on the sphere. A blurred version of this image has a deterministic structure which qualitatively represents the density distribution of the points in a point cloud on a manifold.

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Citations
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Book ChapterDOI

Scale-Space Clustering on a Unit Hypersphere

Yuta Hirano, +1 more
TL;DR: An algorithm for the scale-space clustering of a point cloud on a hypersphere in a higher-dimensional Euclidean space achieves clustering by estimating the density distribution of the points in the linear scale space on the sphere.
References
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Book ChapterDOI

Scale-space filtering

Andrew Witkin
TL;DR: Scale-space filtering is a method that describes signals qualitatively, managing the ambiguity of scale in an organized and natural way.
Journal ArticleDOI

The Mode Tree: A Tool for Visualization of Nonparametric Density Features

Michael C. Minnotte, +1 more
- 01 Mar 1993 - 
TL;DR: The use of a mode tree in adaptive multimodality investigations is proposed, and an example is given to show the value in using a normal kernel, as opposed to the biweight or other kernels, in such investigations.
BookDOI

Scale-Space and Morphology in Computer Vision

Michael Kerckhove
TL;DR: The evolution method that is proposed guarantees that the authors stay in the class of VDF’s and therefore that the intrinsic properties of the underlying shapes such as their dimension, curvatures can be read off easily from the VDF and its spatial derivatives at each time instant.
Journal ArticleDOI

Insect-inspired estimation of egomotion

Matthias O. Franz, +2 more
- 01 Nov 2004 - 
TL;DR: This study examines whether a simplified linear model based on the organization principles in tangential neurons can be used to estimate egomotion from the optic flow and presents a theory for the construction of an estimator consisting of a linear combination of optic flow vectors.
Journal ArticleDOI

Superficial and deep structure in linear diffusion scale space: isophotes, critical points and separatrices

Lewis D. Griffin, +1 more
- 01 Sep 1995 - 
TL;DR: The behaviour of structures with changing resolution in a linear diffusion scale space is examined, which includes not only periods of smooth change, but also four catastrophic changes: shoe surface, balanced saddle, double-saddle isophote and heteroclinic separatrix.