Background
Boor, Carl de was born on December 3, 1937 in Stolp, Germany.
- Photos
- Works
- Photos
- Works
book
Spline toolbox for use with MATLAB: User's guide, version 3
http://www.amazon.com/gp/product/B0006S0BWS/?tag=2022091-20
Elementary Numerical Analysis: An Algorithmic Approach
http://www.amazon.com/gp/product/B001CB3RLA/?tag=2022091-20
Box Splines (Applied Mathematical Sciences)
(Compactly supported smooth piecewise polynomial functions...)
Compactly supported smooth piecewise polynomial functions provide an efficient tool for the approximation of curves and surfaces and other smooth functions of one and several arguments. Since they are locally polynomial, they are easy to evaluate. Since they are smooth, they can be used when smoothness is required, as in the numerical solution of partial differential equations (in the Finite Element method) or the modeling of smooth sur faces (in Computer Aided Geometric Design). Since they are compactly supported, their linear span has the needed flexibility to approximate at all, and the systems to be solved in the construction of approximations are 'banded'. The construction of compactly supported smooth piecewise polynomials becomes ever more difficult as the dimension, s, of their domain G ~ IRs, i. e. , the number of arguments, increases. In the univariate case, there is only one kind of cell in any useful partition, namely, an interval, and its boundary consists of two separated points, across which polynomial pieces would have to be matched as one constructs a smooth piecewise polynomial function. This can be done easily, with the only limitation that the num ber of smoothness conditions across such a breakpoint should not exceed the polynomial degree (since that would force the two joining polynomial pieces to coincide). In particular, on any partition, there are (nontrivial) compactly supported piecewise polynomials of degree ~ k and in C(k-l), of which the univariate B-spline is the most useful example.
http://www.amazon.com/gp/product/1441928340/?tag=2022091-20
Elementary Numerical Analysis - An Algorithmic Approach, Second Edition
http://www.amazon.com/gp/product/B000JZQSPW/?tag=2022091-20
A Practical Guide to Splines (Applied Mathematical Sciences)
( This book is based on the author’s experience with calc...)
This book is based on the author’s experience with calculations involving polynomial splines, presenting those parts of the theory especially useful in calculations and stressing the representation of splines as weighted sums of B-splines. The B-spline theory is developed directly from the recurrence relations without recourse to divided differences. This reprint includes redrawn figures, and most formal statements are accompanied by proofs.
http://www.amazon.com/gp/product/0387953663/?tag=2022091-20
Spline toolbox for use with MATLAB: User's guide
http://www.amazon.com/gp/product/B0006RDWN4/?tag=2022091-20
A Practical Guide to Splines (Applied Mathematical Sciences) by Carl de Boor (2001-11-29)
http://www.amazon.com/gp/product/B01MQZYD2I/?tag=2022091-20
Box Splines (Applied Mathematical Sciences) (v. 98)
(Compactly supported smooth piecewise polynomial functions...)
Compactly supported smooth piecewise polynomial functions provide an efficient tool for the approximation of curves and surfaces and other smooth functions of one and several arguments. Since they are locally polynomial, they are easy to evaluate. Since they are smooth, they can be used when smoothness is required, as in the numerical solution of partial differential equations (in the Finite Element method) or the modeling of smooth sur faces (in Computer Aided Geometric Design). Since they are compactly supported, their linear span has the needed flexibility to approximate at all, and the systems to be solved in the construction of approximations are 'banded'. The construction of compactly supported smooth piecewise polynomials becomes ever more difficult as the dimension, s, of their domain G ~ IRs, i. e. , the number of arguments, increases. In the univariate case, there is only one kind of cell in any useful partition, namely, an interval, and its boundary consists of two separated points, across which polynomial pieces would have to be matched as one constructs a smooth piecewise polynomial function. This can be done easily, with the only limitation that the num ber of smoothness conditions across such a breakpoint should not exceed the polynomial degree (since that would force the two joining polynomial pieces to coincide). In particular, on any partition, there are (nontrivial) compactly supported piecewise polynomials of degree ~ k and in C(k-l), of which the univariate B-spline is the most useful example.
http://www.amazon.com/gp/product/0387941010/?tag=2022091-20
Carl de Boor
Edit ProfileEducation
Student, Universitaet Hamburg, 1956-1959; student, Harvard University, 1959-1960; Doctor of Philosophy, University Michigan, 1966.
Career
Research mathematician, General Motors Research laboratories, 1960-1964; assistant professor mathematics, computer science, Purdue University, 1966-1968; associate professor, Purdue University, 1968-1972; professor mathematics, computer science, University of Wisconsin -Madison, since 1972. Visiting staff member Los Alamos Science laboratories, since 1970.
Achievements
Works
book
-
A Practical Guide to Splines (Applied Mathematical Sciences)
( This book is based on the author’s experience with calc...)
-
Box Splines (Applied Mathematical Sciences)
(Compactly supported smooth piecewise polynomial functions...)
-
Box Splines (Applied Mathematical Sciences) (v. 98)
(Compactly supported smooth piecewise polynomial functions...)
- On Two Polynomial Spaces Associated with a Box Spline
- Spline toolbox for use with MATLAB: User's guide, version 3
- Elementary Numerical Analysis: An Algorithmic Approach
- Elementary Numerical Analysis - An Algorithmic Approach, Second Edition
- Spline toolbox for use with MATLAB: User's guide
- A Practical Guide to Splines (Applied Mathematical Sciences) by Carl de Boor (2001-11-29)
-
A Practical Guide to Splines (Applied Mathematical Sciences)
Membership
Fellow American Academy Arts and Sciences. Member National Academy Engineering, NAS, Society Industrial and Applied Mathematics, Leopoldina, Phi Beta Kappa.
Connections
M. Matilda C. Friedrich, February 6, 1960 (divorced September 12, 1984). Children— C. Thomas, Elisabeth, Peter, Adam. Married Helen L. Bee, January 2, 1991.
