Get Free Shipping on orders over $0
Geometry and Computing : Geometry and Computing - Jean-Marie Morvan

Geometry and Computing

By: Jean-Marie Morvan

Hardcover | 13 June 2008

At a Glance

Hardcover


$199.00

or 4 interest-free payments of $49.75 with

 or 

Ships in 5 to 7 business days

The central object of this book is the measure of geometric quantities describing N a subset of the Euclidean space (E ,), endowed with its standard scalar product. Let us state precisely what we mean by a geometric quantity. Consider a subset N S of points of the N-dimensional Euclidean space E , endowed with its standard N scalar product. LetG be the group of rigid motions of E . We say that a 0 quantity Q(S) associated toS is geometric with respect toG if the corresponding 0 quantity Q[g(S)] associated to g(S) equals Q(S), for all g?G . For instance, the 0 diameter ofS and the area of the convex hull ofS are quantities geometric with respect toG . But the distance from the origin O to the closest point ofS is not, 0 since it is not invariant under translations ofS. It is important to point out that the property of being geometric depends on the chosen group. For instance, ifG is the 1 N group of projective transformations of E , then the property ofS being a circle is geometric forG but not forG , while the property of being a conic or a straight 0 1 line is geometric for bothG andG . This point of view may be generalized to any 0 1 subsetS of any vector space E endowed with a groupG acting on it.
Industry Reviews

From the reviews:

"This book is a welcome addition to the literature in differential geometry. The main aim of this book is the measure of geometric quantities describing a subset of the Euclidean space ... endowed with its standard scalar product. ... The book contains 107 figures and the bibliography contains about 89 entries. The book covers an active, interesting and fresh research area. It is very useful for researchers in differential geometry and related subjects." (Kazim Ilarslan, Zentralblatt MATH, Vol. 1149, 2008)

Other Editions and Formats

Paperback

Published: 28th October 2010

More in Image Processing

MRI in Practice : 5th Edition - Catherine Westbrook

RRP $82.95

$54.75

34%
OFF
MRI Physics : Tech to Tech Explanations - Stephen J. Powers

RRP $88.95

$58.75

34%
OFF
Biosignal and Medical Image Processing : 3rd Edition - John L. Semmlow

RRP $326.00

$192.99

41%
OFF
The Future of Seeing : How Imaging Is Changing Our World - Daniel K. Sodickson
Engineering Illumination Optics : Case Studies and Exercises - Henning Rehn
Machine Learning-Based Hyperspectral Image Processing - Bing Zhang
Handbook of MRI Pulse Sequences - Matt A. Bernstein

RRP $319.95

$274.99

14%
OFF
Virtopsy Update : The Next Level of Forensic Imaging - Michael Thali

RRP $305.00

$144.75

53%
OFF
Thematic Cartography and Geovisualization - Terry Slocum

RRP $252.00

$219.75

13%
OFF
AI in MRI-based Brain Disease Prediction - Jin Liu

RRP $294.00

$254.75

13%
OFF
Optical Networks and Components : Fundamentals and Advances - Partha Pratim Sahu

RRP $222.00

$133.99

40%
OFF
Biomedical Signal Processing : 1st Edition - A Modern Approach - Ganesh R. Naik
Photoshop Elements For Dummies - Barbara Obermeier

RRP $57.95

$48.75

16%
OFF