Skip to search form
Skip to main content
Skip to account menu
Semantic Scholar
Semantic Scholar's Logo
Search 205,607,805 papers from all fields of science
Search
Sign In
Create Free Account
Spline (mathematics)
Known as:
Spline curve
, Spline function
, Linear spline
Expand
In mathematics, a spline is a numeric function that is piecewise-defined by polynomial functions, and which possesses a high degree of smoothness at…
Expand
Wikipedia
Create Alert
Alert
Related topics
Related topics
50 relations
Active contour model
B-spline
Barycentric subdivision
Biarc
Expand
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2014
Highly Cited
2014
Fitting Linear Mixed-Effects Models Using lme4
D. Bates
,
M. Machler
,
B. Bolker
,
S. Walker
2014
Corpus ID: 88513115
Maximum likelihood or restricted maximum likelihood (REML) estimates of the parameters in linear mixed-effects models can be…
Expand
Highly Cited
2007
Highly Cited
2007
Spline functions on triangulations
M. Lai
,
L. Schumaker
Encyclopedia of mathematics and its applications
2007
Corpus ID: 118697616
Preface 1. Bivariate polynomials 2. Bernstein-Bezier methods for bivariate polynomials 3. B-patches 4. Triangulations and…
Expand
Highly Cited
2004
Highly Cited
2004
Snakes: Active contour models
M. Kass
,
A. Witkin
,
Demetri Terzopoulos
International Journal of Computer Vision
2004
Corpus ID: 12849354
A snake is an energy-minimizing spline guided by external constraint forces and influenced by image forces that pull it toward…
Expand
Review
1999
Review
1999
Splines: a perfect fit for signal and image processing
M. Unser
IEEE Signal Process. Mag.
1999
Corpus ID: 62688047
The article provides arguments in favor of an alternative approach that uses splines, which is equally justifiable on a…
Expand
Highly Cited
1994
Highly Cited
1994
Ideal spatial adaptation by wavelet shrinkage
D. Donoho
,
I. Johnstone
1994
Corpus ID: 239520
SUMMARY With ideal spatial adaptation, an oracle furnishes information about how best to adapt a spatially variable estimator…
Expand
Highly Cited
1989
Highly Cited
1989
Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
F. Bookstein
IEEE Trans. Pattern Anal. Mach. Intell.
1989
Corpus ID: 47302
The decomposition of deformations by principal warps is demonstrated. The method is extended to deal with curving edges between…
Expand
Highly Cited
1989
Highly Cited
1989
Optimal shape design as a material distribution problem
M. Bendsøe
1989
Corpus ID: 18253872
Shape optimization in a general setting requires the determination of the optimal spatial material distribution for given loads…
Expand
Highly Cited
1978
Highly Cited
1978
A Practical Guide to Splines
C. D. Boor
Applied Mathematical Sciences
1978
Corpus ID: 122101452
This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the…
Expand
Highly Cited
1978
Highly Cited
1978
Smoothing noisy data with spline functions
Peter Craven
,
G. Wahba
1978
Corpus ID: 14094416
SummarySmoothing splines are well known to provide nice curves which smooth discrete, noisy data. We obtain a practical…
Expand
Highly Cited
1978
Highly Cited
1978
A practical guide to splines
C. deBoor
1978
Corpus ID: 116206019
By clicking accept or continuing to use the site, you agree to the terms outlined in our
Privacy Policy
,
Terms of Service
, and
Dataset License
ACCEPT & CONTINUE