NDLI: Optimal smoothing spline with constraints on its derivatives

Content Provider	IEEE Xplore Digital Library
Author	Kano, H. Fujioka, H. Martin, C.F.
Copyright Year	2010
Description	Author affiliation: Division of Science, School of Science and Engineering, Tokyo Denki University, Hatoyama, Hiki-gun, Saitama 350-0394, Japan (Kano, H.) \|\| Department of System Management, Fukuoka Institute of Technology, 3-30-1, Wajiro-higashi, Higashi-ku, 811-0295 Japan (Fujioka, H.) \|\| Department of Mathematics and Statistics, Texas Tech University, Lubbock, 79409, USA (Martin, C.F.)
Abstract	This paper considers the problem of designing optimal smoothing spline with constraints on its derivatives. The splines of degree k are constituted by employing normalized uniform B-splines as the basis functions. We then show that the l-th derivative of the spline can be obtained by using B-splines of degree k-l with the control points computed as l-th difference of original control points. This yields systematic treatment of equality and inequality constraints over intervals on derivatives of arbitrary degree. Also, pointwise constraints can readily be incorporated. The problem of optimal smoothing splines with constraints reduce to convex quadratic programming problems. The effectiveness is demonstrated by numerical examples of approximations of probability distribution function and concave function, and trajectory planning with the constraints on velocity and acceleration.
Starting Page	6785
Ending Page	6790
File Size	183595
Page Count	6
File Format	PDF
ISBN	9781424477456
ISSN	07431546
e-ISBN	9781424477463
DOI	10.1109/CDC.2010.5717055
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Spline Smoothing methods Approximation methods Polynomials Probability distribution Trajectory Planning
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Control theoretic B-spline smoothing with constraints on derivatives

Optimal smoothing spline surfaces with constraints on derivatives

Vector optimal smoothing spline curves with constraints

A constrained optimal control approach to smoothing splines

Fast trajectory planning via the B-spline augmented virtual motion camouflage approach

A successive approximation-based approach for optimal kinodynamic motion planning with nonlinear differential constraints

Power series solutions to the time-varying dynamic programming equations

An explicit desingularization procedure for general nonholonomic systems

Networked control systems with state, input and communication constraints: A nonlinear approach

Optimal smoothing spline with constraints on its derivatives

Similar Documents

Control theoretic B-spline smoothing with constraints on derivatives

Optimal smoothing spline surfaces with constraints on derivatives

Vector optimal smoothing spline curves with constraints

A constrained optimal control approach to smoothing splines

Fast trajectory planning via the B-spline augmented virtual motion camouflage approach

A successive approximation-based approach for optimal kinodynamic motion planning with nonlinear differential constraints

Power series solutions to the time-varying dynamic programming equations

An explicit desingularization procedure for general nonholonomic systems

Networked control systems with state, input and communication constraints: A nonlinear approach

Optimal smoothing spline with constraints on its derivatives