Multivariate Polysplines: Applications to Numerical and Wavelet Analysis
Language: English
Published by Academic Press, 2011
- Softcover
- Used
Seller: killarneybooks, Inagh, Clare, Irelandkillarneybooks
AbeBooks seller since April 20, 2017
Condition: Used - Good
£ 13.39
Quantity: 1 available
Add to basketItem description from seller
Oversized paperback, xiv + 498 pages, NOT ex-library. Weight 920g. Bumped upper corner of the front cover at spine (front cover with a short tear and a diagonal indentation; short creases in the upper inner corners of first pages; binding remains firm); a short diagonal crease to the lower outer corner of the front cover and first pages; faint handling marks on page edges externally. Else book looks unread, clean, bright, tight. Unmarked text, free of inscriptions and stamps. -- Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions. Multivariate polysplines have applications in the design of surfaces and "smoothing" that are essential in computer aided geometric design (CAGD and CAD/CAM systems), geophysics, magnetism, geodesy, geography, wavelet analysis and signal and image processing. In many cases involving practical data in these areas, polysplines are proving more effective than well-established methods, such as kKriging, radial basis functions, thin plate splines and minimum curvature. -- Part 1 assumes no special knowledge of partial differential equations and is intended as a graduate level introduction to the topic. Part 2 develops the theory of cardinal Polysplines, which is a natural generalization of Schoenberg's beautiful one-dimensional theory of cardinal splines. Part 3 constructs a wavelet analysis using cardinal Polysplines. The results parallel those found by Chui for the one-dimensional case. Part 4 considers the ultimate generalization of Polysplines - on manifolds, for a wide class of higher-order elliptic operators and satisfying a Holladay variational property. -- Readership: Applied and pure mathematicians, computer scientists and researchers and engineers in signal and image processing, CAGD and CAD/CAM systems, geophysics, geography, magnetism and related disciplines.…
Seller Inventory # 008027
- Title
- Multivariate Polysplines: Applications to Numerical and Wavelet Analysis
- Author
- Ognyan Kounchev
- Publisher
- Academic Press
- Publication year
- 2011
- Condition
- Good
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 012390935X
- ISBN 13
- 9780123909350
"Synopsis" may belong to another edition of this title.
From the Back Cover
Key Features
· Part 1 assumes no special knowledge of partial differential equations and is intended as a graduate level introduction to the topic
· Part 2 develops the theory of cardinal Polysplines, which is a natural generalization of Schoenberg's beautiful one-dimensional theory of cardinal splines.
· Part 3 constructs a wavelet analysis using cardinal Polysplines. The results parallel those found by Chui for the one-dimensional case.
· Part 4 considers the ultimate generalization of Polysplines - on manifolds, for a wide class of higher-order elliptic operators and satisfying a Holladay variational property.
Multivariate Polysplines is aimed principally at specialists in approximation and spline theory, wavelet analysis and signal and image processing. It will also prove a valuable text for people using computer aided geometric design (CAGD and CAD/CAM) systems or smoothing and spline methods in geophysics, geodesy, geology, magnetism etc. as it offers a flexible alternative to traditional tools such as Kriging, Radial Basis Functions and Minimum Curvature.
The book is also suitable as a text for graduate courses on these topics.
Ognyan Kounchev received his M.S. in partial differential equations from Sofia University, Bulgaria and his Ph.D. in optimal control of partial differential equations and numerical methods from the University of Belarus, Minsk. He was awarded a grant from the Volkswagen Foundation (1996-1999) for studying the applications of partial differential equations in approximation and spline theory. Currently, Dr Kounchev is a Fulbright Scholar at the University of Wisconsin-Madison where he works in the Wavelet Ideal Data Representation Center in the Department of Computer Sciences.|Multivariate Polysplines presents a completely original approach to multivariate spline analysis. Polysplines are piecewise polyharmonic splines and provide a powerful means of interpolating data. Examples in the text indicate that in many practical cases of data smoothing Polysplines are more effective than well-established techniques, such as Kriging, Radial Basis Functions and Minimum Curvature. They also provide new perspectives on wavelet theory with applications to signal and image processing.
Key Features
· Part 1 assumes no special knowledge of partial differential equations and is intended as a graduate level introduction to the topic
· Part 2 develops the theory of cardinal Polysplines, which is a natural generalization of Schoenberg's beautiful one-dimensional theory of cardinal splines.
· Part 3 constructs a wavelet analysis using cardinal Polysplines. The results parallel those found by Chui for the one-dimensional case.
· Part 4 considers the ultimate generalization of Polysplines - on manifolds, for a wide class of higher-order elliptic operators and satisfying a Holladay variational property.
Multivariate Polysplines is aimed principally at specialists in approximation and spline theory, wavelet analysis and signal and image processing. It will also prove a valuable text for people using computer aided geometric design (CAGD and CAD/CAM) systems or smoothing and spline methods in geophysics, geodesy, geology, magnetism etc. as it offers a flexible alternative to traditional tools such as Kriging, Radial Basis Functions and Minimum Curvature.
The book is also suitable as a text for graduate courses on these topics.
Ognyan Kounchev received his M.S. in partial differential equations from Sofia University, Bulgaria and his Ph.D. in optimal control of partial differential equations and numerical methods from the University of Belarus, Minsk. He was awarded a grant from the Volkswagen Foundation (1996-1999) for studying the applications of partial differential equations in approximation and spline theory. Currently, Dr Kounchev is a Fulbright Scholar at the University of Wisconsin-Madison where he works in the Wavelet Ideal Data Representation Center in the Department of Computer Sciences.
"About the title" may belong to another edition of this title.
killarneybooks
Inagh, Clare, Ireland
AbeBooks seller since April 20, 2017
Shipping rates from Ireland to U.S.A.
| Item | 5 to 7 business days | 2 to 4 business days |
|---|---|---|
| First item | £ 29.22 | £ 31.87 |
Payment methods
- Bank Wire Transfer
- Paypal
Store description
All U.S.-bound orders are now shipped with UPS for reliable delivery. Additional customs or import fees are highly unlikely; however, please note buyers remain responsible for any duties or taxes that U.S. Customs may assess. -- Killarneybooks is a family-run bookshop based in the Republic of Ireland. We take pride in accurate listings, careful packaging, and prompt service - most orders ship within 24 hours. All books listed are in stock and ready for immediate dispatch - we are not dropshippers. Inquiries always welcome.…
Specialty
professional, academic, non-fictionSeller's business information
killarneybooks
Ireland
Terms of sale
Business Name: killarneybooks
Business Type: Sole Trader
Trade Register Number: 1976607T (not VAT-registered)
Business Address: Ballynoe, Inagh, Co. Clare
Customer Service representative: Ada Boosey
Phone: 00353 857512674
Email: killarneybookseu@yahoo.com
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to killarneybooks, Inagh, Clare, Ireland, without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.
Shipping terms
TNT / FedEX express available on request. Please contact us for more details. Thank you.