Local compliance estimation via positive semidefinite constrained least squares

被引：11

作者：

Krislock, N ^{[1
]}

Lang, JC

Varah, J

Pai, DK

Seidel, HP

机构：

[1] Univ British Columbia, Inst Appl Math, Vancouver, BC V6T 1Z2, Canada

[2] MPI Format, D-66123 Saarbrucken, Germany

[3] Univ British Columbia, Dept Comp Sci, Vancouver, BC V6T 1Z4, Canada

[4] Rutgers State Univ, Div Comp & Informat Sci, Piscataway, NJ 08854 USA

来源：

IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION | 2004年 / 20卷 / 06期

基金：

美国国家科学基金会;

关键词：

constrained linear least squares; deformable models; stiffness matrix;

D O I：

10.1109/TRO.2004.832794

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present a method to estimate a positive semidefinite matrix by linear least squares, and we apply this method to the estimation of local compliance matrices during deformable object modeling. Estimation of physical quantities from measurements has to consider noise due to measurement and modeling inaccuracy. Enforcing constraints during estimation can guarantee physically plausible results even under difficult measurement conditions.

引用

页码：1007 / 1011

页数：5

共 50 条

[1] Spacecraft inertia estimation via constrained least squares
Keim, Jason A.
Acikmese, A. Behcet
Shields, Joel F.
2006 IEEE AEROSPACE CONFERENCE, VOLS 1-9, 2006, : 2817 - +
[2] POSITIVE-DEFINITE CONSTRAINED LEAST-SQUARES ESTIMATION OF MATRICES
HU, H
LINEAR ALGEBRA AND ITS APPLICATIONS, 1995, 229 : 167 - 174
[3] CONSTRAINED LEAST-SQUARES INTERVAL ESTIMATION
PIERCE, JE
RUST, BW
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1985, 6 (03): : 670 - 683
[4] INTERVAL ESTIMATION BY CONSTRAINED LEAST-SQUARES
RUST, BW
HEATH, MT
SIAM REVIEW, 1974, 16 (04) : 589 - 589
[5] Constrained logarithmic least squares in parameter estimation
Bai, EW
Ye, YY
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (01) : 182 - 186
[6] Constrained least squares estimation for position tracking
Wang, Z.
Ching, P. C.
2006 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-13, 2006, : 4187 - 4190
[7] INEQUALITY CONSTRAINED LEAST-SQUARES ESTIMATION
LIEW, CK
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1976, 71 (355) : 746 - 751
[8] Arch parameter estimation via constrained two stage least squares method
Mousazadeh, Saman
Karimi, Mahmood
Farrokhrooz, Mehdi
2007 9TH INTERNATIONAL SYMPOSIUM ON SIGNAL PROCESSING AND ITS APPLICATIONS, VOLS 1-3, 2007, : 620 - 623
[9] MULTIPLICATIVE REGRESSION VIA CONSTRAINED LEAST SQUARES
Wei, Dennis
Ramamurthy, Karthikeyan Natesan
Katz-Rogozhnikov, Dmitriy A.
Mojsilovic, Aleksandra
2014 IEEE WORKSHOP ON STATISTICAL SIGNAL PROCESSING (SSP), 2014, : 304 - 307
[10] Conjugate gradients for symmetric positive semidefinite least-squares problems
Dostal, Zdenek
Pospisil, Lukas
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 95 (11) : 2229 - 2239

← 1 2 3 4 5 →