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.23 No.4
- 발행연도
- 2019.12
- 수록면
- 351 - 365 (15page)
이용수
초록· 키워드
오류제보하기
This article presents a new approach for conformal flattening with optimal cone singularity. The algorithm here takes an optimal control for selecting optimal cones and uses the Ricci flow to force the flattening. This work is considered as a modification to the work of Soliman et al. [1] in the sense that they make use of the Yamabe equation for the flattening, which is an approximation of the Ricci flow. We present a numerical algorithm based on the optimal control with the mathematical background. Several numerical results validate that our method is optimal in total cone angle and usage of the Ricci flow ensures the conformal flattening while selecting optimal cones.
목차
ABSTRACT
1. INTRODUCTION
2. CONFORMAL FLATTENING
3. CONE SINGULARITY
4. CONFORMAL FLATTENING BASED ON THE OPTIMAL CONTROL
5. EXPERIMENTAL RESULTS
6. CONCLUSION AND FUTURE WORK
REFERENCES
참고문헌 (15)
참고문헌 신청
Yousuf Soliman / 2018 / Optimal cone singularities for conformal flattening / ACM Transactions on Graphics (TOG) 37(4):105
Cindy Grimm / 2006 / Surface modeling and parameterization with manifolds: Siggraph 2006 course notes / ACM
Rhaleb Zayer / 2007 / Linear angle based parameterization
Zhengyu Su / 2013 / Area preserving brain mapping / Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition :2235~2242
Bennett Chow / 2003 / Combinatorial ricci flows on surfaces / Journal of Differential Geometry 63(1):97~129
Cindy Grimm / 2006 / Surface modeling and parameterization with manifolds: Siggraph 2006 course notes / ACM
Rhaleb Zayer / 2007 / Linear angle based parameterization
Zhengyu Su / 2013 / Area preserving brain mapping / Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition :2235~2242
Bennett Chow / 2003 / Combinatorial ricci flows on surfaces / Journal of Differential Geometry 63(1):97~129
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
남성 정장 재킷의 대량맞춤생산을 위한 체형 분류 방법
생활과학연구논총
2023 .04
-
On evolution of Finsler Ricci scalar
대한수학회지
2018 .01
-
The Waveform Model of Laser Altimeter System with Flattened Gaussian Laser
Current Optics and Photonics
2015 .08
-
Ricci-Yamabe Solitons and Gradient Ricci-Yamabe Solitons on Kenmotsu 3-manifolds
Kyungpook Mathematical Journal
2021 .12
-
Evolution and monotonicity for a class of quantities along the Ricci-Bourguignon flow
대한수학회지
2019 .01
-
The Ricci curvature on directed graphs
대한수학회지
2019 .01
-
Almost Ricci Soliton and Gradient Almost Ricci Soliton on $3$-dimensional $f$-Kenmotsu Manifolds
Kyungpook Mathematical Journal
2017 .06
-
Riemannian submersions whose total manifold admits $h$-almost Ricci-Yamabe soliton
대한수학회논문집
2024 .04
-
Some results of evolution of the first eigenvalue of weighted $p$-Laplacian along the extended Ricci flow
대한수학회논문집
2020 .01
-
SUBMANIFOLD OF (κ, μ)- CONTACT METRIC MANIFOLD AS A RICCI SOLITON
Proceedings of the Jangjeon Mathematical Society
2021 .01
-
On quasi Ricci symmetric manifolds
한국수학논문집
2019 .01
-
Certain results on contact metric generalized $(\kappa,\mu)$-space forms
대한수학회논문집
2019 .01
-
Harnack estimates for nonlinear backward heat equations with potentials along the Ricci-Bourguignon flow
대한수학회지
2020 .01
-
η-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS WITH SOME CURVATURE CONDITIONS
한국수학논문집
2021 .12
-
Sasakian 3-manifolds admitting a gradient Ricci-Yamabe soliton
한국수학논문집
2021 .09
-
On a classification of warped product spaces with gradient Ricci solitons
한국수학논문집
2016 .01
-
Eigenvalue monotonicity of $(p,q)$-Laplacian along the Ricci-Bourguignon flow
대한수학회논문집
2019 .01
-
On ?-Conformal Ricci Solitons on a Class of Almost Kenmotsu Manifolds
Kyungpook Mathematical Journal
2021 .12
-
Real hypersurfaces with *-Ricci tensors in complex two-plane Grassmannians
대한수학회보
2017 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0
UCI(KEPA) : I410-ECN-0101-2020-410-000107337