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Analysis of Rotational Deformations From Directional Data
- Source :
- Journal of Computational and Graphical Statistics. 24:539-560
- Publication Year :
- 2015
- Publisher :
- Informa UK Limited, 2015.
-
Abstract
- This article discusses a novel framework to analyze rotational deformations of real three-dimensional objects. The rotational deformations such as twisting or bending have been observed as the major variation in some medical applications, where the features of the deformed three-dimensional objects are directional data. We propose modeling and estimation of the global deformations in terms of generalized rotations of directions. The proposed method can be cast as a generalized small circle fitting on the unit sphere. We also discuss the estimation of descriptors for more complex deformations composed of two simple deformations. The proposed method can be used for a number of different three-dimensional object models. Two analyses of three-dimensional object data are presented in detail: one using skeletal representations in medical image analysis and the other from biomechanical gait analysis of the knee joint. Supplementary materials for this article are available online.
- Subjects :
- Statistics and Probability
Unit sphere
Computer science
business.industry
Directional statistics
02 engineering and technology
Bending
Object (computer science)
01 natural sciences
Image (mathematics)
010104 statistics & probability
Simple (abstract algebra)
0202 electrical engineering, electronic engineering, information engineering
Discrete Mathematics and Combinatorics
020201 artificial intelligence & image processing
Computer vision
Artificial intelligence
0101 mathematics
Statistics, Probability and Uncertainty
business
Algorithm
Circle of a sphere
Subjects
Details
- ISSN :
- 15372715 and 10618600
- Volume :
- 24
- Database :
- OpenAIRE
- Journal :
- Journal of Computational and Graphical Statistics
- Accession number :
- edsair.doi.dedup.....ebdb3c587296877e03ddf1aa81edff26