Associate Professor

Department of Applied Mathematics

Kyung Hee University

1732 Deogyeong blvd

Yongin Gyeonggi 446-701

South Korea

Rm
423, College of Applied Science bldg

(P) +82-31-201-3814

(F) +82-31-202-2407

Topology
and its applications I

Calculus
I

Linear
Algebra

BS |
Physics |
Seoul National University |
1995 |

MS |
Mathematics |
Seoul National University |
1997 |

PhD |
Mathematics |
Seoul National University |
2002 |

Visiting scholar |
Department of Mechanical and Aeronautical
Engineering |
University of California, Davis |
20022004 |

Researcher |
Department of Mathematical Sciences |
Seoul National University |
20042006 |

Full-time instructor |
Department of Applied Mathematics |
Kyung Hee University |
2006 |

Computer aided geometric design

Geometric algorithms and scientific computing

- Inverse
kinematics for optimal tool orientation control in 5-axis CNC machining
(with R. T. Farouki and S. Li),
*Computer Aided Geometric Design***31**, 1326 (2014) - Rotation-minimizing
Euler-Rodrigues rigid-body motion interpolants
(with R. T. Farouki, P. Dospra,
and T. Sakkalis),
*Computer Aided Geometric Design***30**, 653671 (2013) - Medial axis transform of a planar domain with infinite
curvature boundary points (with S.-H. Kwon
and H. I. Choi),
*Computer Aided Geometric Design***2****9**, 281295 (2012) - Cubic helical
splines with Frenet-frame continuity (with S.-H. Kwon),
*Computer Aided Geometric Design***2****8**, 395406 (2011) - Geometric Hermite interpolation by monotone helical quintics,
*Computer Aided Geometric Design***2****7**, 713719 (2010) - Computing the
Minkowski value of the exponential function over
a complex disk (with H. I. Choi, R. T. Farouki,
and H. P. Moon),
*Lecture Notes in Computer Science***5****081/2008**, 121 (2008) - Nonexistence
of rational rotation-minimizing frames on cubic curves,
*Computer Aided Geometric Design***25**, 298304 (2008) - Two-dimensional
offsets and medial axis transform (with H. I. Choi, S. W. Choi, T.-W. Kim, S.-H. Kwon, H. P. Moon, K. H. Roh, and N.-S. Wee),
*Advances in Computational Mathematics***28**, 171199 (2008) - Root neighborhoods,
generalized lemniscates, and robust stability of
dynamic systems (with R. T. Farouki),
*Applicable Algebra in Engineering, Communications and Computing***18**, 169189 (2007) - Guaranteed
consistency of surface intersections and trimmed surfaces using a coupled
topology resolution and domain decomposition scheme (with J. Hass, R. T. Farouki, X. Song, and T. W. Sederberg),
*Advances in Computational Mathematics***27**, 126 (2007) - Algorithms of
spatial Pythagorean-hodograph curves (with R. T. Farouki),
*Geometric Properties for Incomplete Data*(R. Klette, R. Kozera, L. Noakes, and J. Weickert, eds.), Springer, 4358 (2006) - Boundary
evaluation algorithms for Minkowski combinations
of complex sets using topological analysis of implicit curves (with R. T. Farouki and J. Hass),
*Numerical Algorithms***40**, 251283 (2005) - Solution of
elementary equations in the Minkowski geometric
algebra of complex sets (with R. T. Farouki),
*Advances in Computational Mathematics***22**, 301323 (2005) - Robust plotting
of generalized lemniscates (with R. T. Farouki),
*Applied Numerical Mathematics***51**, 257272 (2004) - Computation
of Minkowski values of polynomials over complex
sets (with R. T. Farouki),
*Numerical Algorithms***36**, 1329 (2004) - Topologically
consistent trimmed surface approximations based on triangular patches
(with R. T. Farouki, J. Hass, and T. W. Sederberg),
*Computer Aided Geometric Design***21**, 459478 (2004) - Characterization
and construction of helical polynomial space curves (with R. T. Farouki, C. Manni, and A. Sestini),
*Journal of Computational and Applied Mathematics***162**, 365392 (2004) - Rational
approximation schemes for rotation-minimizing frames on
Pythagorean-hodograph curves (with R. T. Farouki),
*Computer Aided Geometric Design***20**, 435454 (2003) - EulerRodrigues
frames on spatial Pythagorean-hodograph curves (with H. I. Choi),
*Computer Aided Geometric Design***19**, 603620 (2002) - The medial
axis transform (with H. I. Choi),
*Handbook of Computer Aided Geometric Design*(G. Farin, J. Hoschek, and M-S. Kim, eds.)*,*North-Holland, 451472 (2002) - Medial axis
transform distance and its application (with H. I. Choi and J-H.Yoon), Proceedings, The First KoreaUK Workshop on
Geometric Modeling and Computer Graphics 2000, Seoul, KOREA, April 67,
2000, Kyung Moon Publishers, 6569 (2000)
- Medial axis transform and offset curves by Minkowski
Pythagorean hodograph curves (with H. I. Choi, H. P. Moon, K. H. Roh, and N-S. Wee),
*Computer-Aided Design***31**, 5972 (1999)