Shapes and diffeomorphisms /
Saved in:
| Author / Creator: | Younes, Laurent, 1963- author. |
|---|---|
| Edition: | Second edition. |
| Imprint: | Berlin, Germany : Springer, 2019. |
| Description: | 1 online resource (xxiii, 558 pages) : illustrations (some color) |
| Language: | English |
| Series: | Applied mathematical sciences, 0066-5452 ; volume 171 Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 171. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11895983 |
MARC
| LEADER | 00000cam a2200000Ii 4500 | ||
|---|---|---|---|
| 001 | 11895983 | ||
| 006 | m o d | ||
| 007 | cr cnu|||unuuu | ||
| 008 | 190618s2019 gw a ob 001 0 eng d | ||
| 005 | 20240710205304.2 | ||
| 015 | |a GBB9B1536 |2 bnb | ||
| 016 | 7 | |a 019413474 |2 Uk | |
| 019 | |a 1103463943 |a 1105622115 |a 1107173761 |a 1110896772 |a 1115126822 |a 1122847776 |a 1125759347 |a 1126115740 |a 1132918333 |a 1136224756 |a 1156087609 |a 1156391165 |a 1157081968 |a 1161892162 |a 1162797617 |a 1197537844 |a 1204071245 |a 1237487717 |a 1244635276 | ||
| 020 | |a 9783662584965 |q (electronic bk.) | ||
| 020 | |a 3662584964 |q (electronic bk.) | ||
| 020 | |a 9783662584972 |q (print) | ||
| 020 | |a 3662584972 | ||
| 020 | |z 9783662584958 |q (print) | ||
| 020 | |z 3662584956 | ||
| 024 | 7 | |a 10.1007/978-3-662-58496-5 |2 doi | |
| 035 | |a (OCoLC)1104820532 |z (OCoLC)1103463943 |z (OCoLC)1105622115 |z (OCoLC)1107173761 |z (OCoLC)1110896772 |z (OCoLC)1115126822 |z (OCoLC)1122847776 |z (OCoLC)1125759347 |z (OCoLC)1126115740 |z (OCoLC)1132918333 |z (OCoLC)1136224756 |z (OCoLC)1156087609 |z (OCoLC)1156391165 |z (OCoLC)1157081968 |z (OCoLC)1161892162 |z (OCoLC)1162797617 |z (OCoLC)1197537844 |z (OCoLC)1204071245 |z (OCoLC)1237487717 |z (OCoLC)1244635276 | ||
| 035 | 9 | |a (OCLCCM-CC)1104820532 | |
| 037 | |a com.springer.onix.9783662584965 |b Springer Nature | ||
| 040 | |a GW5XE |b eng |e rda |e pn |c GW5XE |d UPM |d OCLCF |d UKMGB |d YDX |d STF |d VT2 |d EBLCP |d LEATE |d OCLCQ |d OCLCO |d OCLCQ |d UKAHL |d DCT | ||
| 049 | |a MAIN | ||
| 050 | 4 | |a QA445 | |
| 072 | 7 | |a PBWH |2 bicssc | |
| 072 | 7 | |a MAT003000 |2 bisacsh | |
| 072 | 7 | |a PBWH |2 thema | |
| 100 | 1 | |a Younes, Laurent, |d 1963- |e author. |0 http://id.loc.gov/authorities/names/n2007067372 | |
| 245 | 1 | 0 | |a Shapes and diffeomorphisms / |c Laurent Younes. |
| 250 | |a Second edition. | ||
| 264 | 1 | |a Berlin, Germany : |b Springer, |c 2019. | |
| 300 | |a 1 online resource (xxiii, 558 pages) : |b illustrations (some color) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Applied mathematical sciences, |x 0066-5452 ; |v volume 171 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed June 18, 2019). | |
| 505 | 0 | |a Preface to the 2nd Edition -- Preface to the 1st Edition -- Parametrized Plane Curves -- Medial Axis -- Local Properties of Surfaces -- Computations on Triangulated Surfaces- Evolving Curves and Surfaces -- Deformable templates -- Ordinary Differential Equations and Groups of Diffeomorphisms -- Building Admissible Spaces -- Deformable Objects and Matching Functionals -- Diffeomorphic Matching -- Distances and Group Actions -- Metamorphosis -- Analyzing Shape Datasets -- Appendices: Elements from Functional Analysis -- Elements from Differential Geometry -- Ordinary Differential Equations -- Introduction to Optimization and Optimal Control Theory. -- Principal Component Analysis -- Dynamic Programming -- References -- Index. | |
| 520 | |a This book covers mathematical foundations and methods for the computerized analysis of shapes, providing the requisite background in geometry and functional analysis and introducing various algorithms and approaches to shape modeling, with a special focus on the interesting connections between shapes and their transformations by diffeomorphisms. A direct application is to computational anatomy, for which techniques such as large-deformation diffeomorphic metric mapping and metamorphosis, among others, are presented. The appendices detail a series of classical topics (Hilbert spaces, differential equations, Riemannian manifolds, optimal control). The intended audience is applied mathematicians and mathematically inclined engineers interested in the topic of shape analysis and its possible applications in computer vision or medical imaging. The first part can be used for an advanced undergraduate course on differential geometry with a focus on applications while the later chapters are suitable for a graduate course on shape analysis through the action of diffeomorphisms. Several significant additions appear in the 2nd edition, most notably a new chapter on shape datasets, and a discussion of optimal control theory in an infinite-dimensional framework, which is then used to enrich the presentation of diffeomorphic matching. | ||
| 650 | 0 | |a Shapes. |0 http://id.loc.gov/authorities/subjects/sh2002009920 | |
| 650 | 0 | |a Diffeomorphisms. |0 http://id.loc.gov/authorities/subjects/sh85037876 | |
| 650 | 7 | |a Diffeomorphisms. |2 fast |0 (OCoLC)fst00893404 | |
| 650 | 7 | |a Shapes. |2 fast |0 (OCoLC)fst01115245 | |
| 655 | 4 | |a Electronic books. | |
| 773 | 0 | |t Springer eBooks | |
| 776 | 0 | 8 | |i Printed edition: |z 9783662584958 |
| 776 | 0 | 8 | |i Printed edition: |z 9783662584972 |
| 830 | 0 | |a Applied mathematical sciences (Springer-Verlag New York Inc.) ; |v v. 171. |x 0066-5452 |0 http://id.loc.gov/authorities/names/n42002591 | |
| 903 | |a HeVa | ||
| 929 | |a oclccm | ||
| 999 | f | f | |i e07d889d-54e6-52b6-bc85-3234cf429597 |s 0fdda5b0-238a-5ae5-8fd3-2fc7123acedd |
| 928 | |t Library of Congress classification |a QA445 |l Online |c UC-FullText |u https://link.springer.com/10.1007/978-3-662-58496-5 |z Springer Nature |g ebooks |i 12561538 | ||