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Item Details
| Title:
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NONPARAMETRIC INFERENCE ON MANIFOLDS
WITH APPLICATIONS TO SHAPE SPACES |
| By: |
Abhishek Bhattacharya, Rabi Bhattacharya |
| Format: |
Hardback |
| List price:
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£50.00 |
| Our price: |
£45.00 |
| Discount: |
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| You save:
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£5.00 |
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| ISBN 10: |
1107019583 |
| ISBN 13: |
9781107019584 |
| Availability: |
Usually dispatched within 1-3 weeks.
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| Stock: |
Currently 0 available |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
5 April, 2012 |
| Series: |
Institute of Mathematical Statistics Monographs 2 |
| Pages: |
252 |
| Description: |
A systematic introduction to a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes. |
| Synopsis: |
This book introduces in a systematic manner a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes. The theory has important and varied applications in medical diagnostics, image analysis, and machine vision. An early chapter of examples establishes the effectiveness of the new methods and demonstrates how they outperform their parametric counterparts. Inference is developed for both intrinsic and extrinsic Frechet means of probability distributions on manifolds, then applied to shape spaces defined as orbits of landmarks under a Lie group of transformations - in particular, similarity, reflection similarity, affine and projective transformations. In addition, nonparametric Bayesian theory is adapted and extended to manifolds for the purposes of density estimation, regression and classification. Ideal for statisticians who analyze manifold data and wish to develop their own methodology, this book is also of interest to probabilists, mathematicians, computer scientists, and morphometricians with mathematical training. |
| Illustrations: |
20 b/w illus. |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |
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