A Practical Guide to Splines

By C. Boor. 1978

Subfields: Numerical Methods & Scientific Computing

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Numerical Methods & Scientific Computing

Citations in the corpus

Additive models with trend filtering (2017, methodology): “(This result follows from strong quasi-interpolating properties of spline functions, from de Boor [1978].) This proves parts (i) and (ii).”
Recurrent Neural Networks for Multivariate Time Series with Missing Values (2016, neutral): “= + + − h Wx U r h b tanh( ( ) ) (5) t t t t 1”
Unified temporal and spatial calibration for multi-sensor systems (2013, methodology): “Finally, the pose spline is initialized using the linear solution of Schoenberg and Reinsch (Chapter XIV of [17]).”
Geometric Modeling (2018, methodology): “More details can be found in [13,14], and references therein.”
CESAM: a free code for stellar evolution calculations (2008, methodology): “Eggenberger et al. (2005) introduce some turbulence due to rotation.”
POLYNOMIAL SPLINE CONFIDENCE BANDS FOR REGRESSION CURVES (2009, background): “where hrot,σ =the rule-of-thumb bandwidth of Fan and Gijbels (1996) based on data (Xi, Zi,p) n i=1.”
Bayesian P-Splines (2004, background): “It would be beyond the scope of this article to go into the details of B-splines and their properties; see De Boor (1978) as a key reference.”
Convergence rates of posterior distributions (2000, background): “A convenient basis is the set of B-splines B 1 ; : : : ; B J , deened e.g. in De Boor (1978).”
A Note on Penalized Spline Smoothing With Correlated Errors (2007, methodology): “Alternatively, we can work with B-splines (de Boor 1978), as suggested by Eilers and Marx (1996).”