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» Case Analysis in Euclidean Geometry: An Overview
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DIAGRAMS
2000
Springer
13 years 9 months ago
Case Analysis in Euclidean Geometry: An Overview
This paper gives a brief overview of FG, a formal system for doing Euclidean geometry whose basic syntactic elements are geometric diagrams, and which has been implimentented as th...
Nathaniel Miller
DGCI
2006
Springer
13 years 8 months ago
Exact Euclidean Medial Axis in Higher Resolution
Abstract. The notion of skeleton plays a major role in shape analysis. Some usually desirable characteristics of a skeleton are: sufficient for the reconstruction of the original o...
André Vital Saúde, Michel Couprie, R...
CVPR
2003
IEEE
14 years 6 months ago
Statistics of Shape via Principal Geodesic Analysis on Lie Groups
Principal component analysis has proven to be useful for understanding geometric variability in populations of parameterized objects. The statistical framework is well understood ...
P. Thomas Fletcher, Conglin Lu, Sarang C. Joshi
IPMI
2003
Springer
14 years 5 months ago
Gaussian Distributions on Lie Groups and Their Application to Statistical Shape Analysis
The Gaussian distribution is the basis for many methods used in the statistical analysis of shape. One such method is principal component analysis, which has proven to be a powerfu...
P. Thomas Fletcher, Sarang C. Joshi, Conglin Lu, S...
IDA
2009
Springer
13 years 9 months ago
Visualization-Driven Structural and Statistical Analysis of Turbulent Flows
Knowledge extraction from data volumes of ever increasing size requires ever more flexible tools to facilitate interactive query. Interactivity enables real-time hypothesis testin...
Kenny Gruchalla, Mark Rast, Elizabeth Bradley, Joh...