지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.19 No.4
- 발행연도
- 2015.12
- 수록면
- 409 - 416 (8page)
이용수
초록· 키워드
오류제보하기
In many practical applications, we face the problem of reconstruction of an unknown function sampled at some data points. Among infinitely many possible reconstructions, the thin plate spline interpolation is known to be the least oscillatory one in the Beppo-Levi semi norm, when the data points are sampled in R<SUP>2</SUP>. The traditional proofs supporting the argument are quite lengthy and complicated, keeping students and researchers off its understanding. In this article, we introduce a simple and short proof for the optimal reconstruction. Our proof is unique and reguires only elementary mathematical background.
목차
ABSTRACT
1. INTRODUCTION
2. PROBLEM SETTING
3. ELEMENTARY PROOF
4. CONCLUSION
REFERENCES
참고문헌 (14)
참고문헌 신청
[학술대회논문] - J. Carr / 2001 / Reconstruction and representation of 3D objects with radial basis functions / SIGGRAPH 2001 Proceedings : 67 ~ 76
[단행본] - E. Kansa / 1990 / Advances in Partial Differential Equations
[학술지(정기간행물)] - D. Lazzaro / 2002 / Radial basis functions for the multivariate interpolation of large scattered data sets / J. Comput. Appl. Math 140 : 521 ~ 536
[보고서] - J. Duchon / 1975 / Fonctions-spline du type plaque mince en dimension 2
[단행본] - M. Powell / 1990 / The theory of radial basis function approximation, Advances in Numerical Analysis, vol. II:Wavelets, Subdivision Algorithms and Radial Functions / Oxford University Press : 105 ~ 210
[단행본] - E. Kansa / 1990 / Advances in Partial Differential Equations
[학술지(정기간행물)] - D. Lazzaro / 2002 / Radial basis functions for the multivariate interpolation of large scattered data sets / J. Comput. Appl. Math 140 : 521 ~ 536
[보고서] - J. Duchon / 1975 / Fonctions-spline du type plaque mince en dimension 2
[단행본] - M. Powell / 1990 / The theory of radial basis function approximation, Advances in Numerical Analysis, vol. II:Wavelets, Subdivision Algorithms and Radial Functions / Oxford University Press : 105 ~ 210
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
High school students’ evaluation of mathematical arguments as proof: Exploring relationships between understanding, convincingness, and evaluation
수학교육연구
2024 .06
-
Guidance offered to teachers in curriculum materials for engaging students in proof tasks: The case of Korean grade 8 geometry
수학교육연구
2024 .06
-
Problem Posing in the Instruction of Proof: Bridging Everyday Lesson and Proof
수학교육연구
2021 .09
-
Bayesian curve-fitting with radial basis functions under functional measurement error model
한국데이터정보과학회지
2015 .06
-
Correction to “On prime near-rings with generalized (σ,τ)derivations, Kyungpook Math. J., 45(2005), 249–254”
Kyungpook Mathematical Journal
2020 .01
-
[BACK PAIN] 허리를 지켜라
BBC 사이언스
2024 .09
-
Symmetry of components for radial solutions of $\gamma$-Laplacian systems
대한수학회지
2016 .01
-
NEW PROOFS OF SOME FIXED POINT THEOREMS FOR MAPPINGS SATISFYING REICH TYPE CONTRACTIONS IN MODULAR METRIC SPACES
Nonlinear Functional Analysis and Applications
2023 .03
-
Investigating the substance and acceptability of empirical arguments: The case of maximum-minimum theorem and intermediate value theorem in Korean textbooks
수학교육연구
2024 .03
-
A simple proof for Ji-Kim-Oh's theorem
한국수학논문집
2023 .06
-
The chromatic polynomial for cycle graphs
한국수학논문집
2019 .01
-
On the ratio of biomass to total carrying capacity in high dimensions
대한수학회지
2021 .09
-
A note on proof of Gordon's Conjecture
대한수학회보
2018 .01
-
The Exponential Cubic B-spline Algorithm for Equal Width Equation
Advanced Studies in Contemporary Mathematics
2015 .01
-
A data analysis of natural gas prices using penalized median regression splines
한국데이터정보과학회지
2022 .11
-
A simple proof of the non-rationality of a general quartic double solid
대한수학회보
2017 .01
-
A simple proof of the improved Johnson bound for binary codes
대한수학회보
2019 .01
-
An example of large groups
대한수학회보
2020 .01
-
A Study on the Teaching of Proofs using the Method of Infinite Descent
East Asian Mathematical Journal
2016 .01
-
Pliable regression spline estimator using auxiliary variables
CSAM(Communications for Statistical Applications and Methods)
2021 .09
이 논문의 저자 정보
최근 본 자료
댓글(0)
0