``Linear One-sided Stability of MAT for Weakly
Injective 3D Domain,'' with H.-P. Seidel, to appear in Computer-Aided
Design.
[pdf]
(878k)
``Minkowski Sum of Semi-convex Domains in $\mathbb{R}^2$,''
Dissertationes
Mathematicae, Vol. 411, pp. 1--55, 2002.
[ps]
(855k), [pdf]
(552k)
``Linear One-sided Stability of MAT for Weakly
Injective Domain,'' with H.-P. Seidel, Journal
of Mathematical Imaging and Vision, Vol. 17, No. 3, pp. 237--247,
2002.
[ps]
(413k), [pdf]
(295k)
``Linear One-sided Stability of MAT for Weakly
Injective 3D Domain,'' with H.-P. Seidel, 7th
ACM Symposium on Solid Modeling and Applications 2002, Saarbruecken,
Germany, June 17--21, 2002.
[pdf]
(1.3M)
``Hyperbolic Hausdorff Distance for Medial Axis
Transform,'' with H.-P. Seidel, Graphical
Models, Vol. 63, No. 5, pp. 369--384, 2001.
[ps]
(354k), [pdf]
(292k), abstract
``One-sided Stability of MAT and its Applications,''
with H.-P. Seidel, in Vision,
Modeling, and Visualization 2001, Stuttgart, Germany, T.Ertl, B.
Girod, G.Greiner, H. Niemann, H.-P. Seidel (Eds.), pp. 291--298, November
21--23, 2001.
[ps]
(272k), [pdf]
(165k)
``One-sided Stability of Medial Axis Transform,''
with H.-P. Seidel, in Proceedings of
Pattern
Recognition, 23rd DAGM Symposium, Munich, Germany, Bernd Radig,
Stefan Florczyk (Eds.), pp. 132--139, September 12--14, 2001. (Lecture
Notes in Computer Science, vol. 2191)
[ps]
(271k), [pdf]
(212k)
``Fast Scene Change Detection Using Direct Feature
Extraction from MPEG Compressed Videos,'' with S.-W. Lee and Y.-M.
Kim, IEEE Trans.
on Multimedia, Vol. 2, No. 4, pp. 240--254, 2000.
[ps]
(24.6M), [pdf]
(1.4M)
``Stability Analysis of Medial Axis Transform
under Relative Hausdorff Distance,'' with S.-W. Lee, Proceedings
of 15th International Conference
on Pattern Recognition, Barcelona, Spain, vol. 3, pp. 139--142,
September 3--8, 2000.
[ps]
(236k), [pdf]
(122k)
``Fast Scene Change Detection Using Direct Feature
Extraction from MPEG Compressed Videos,'' with Y.-M. Kim and S.-W.
Lee, Proceedings of 15th International
Conference on Pattern Recognition, Barcelona, Spain, vol. 3, pp.
178--181, September 3--8, 2000.
[ps]
(8.2M), [pdf]
(494k)
``New
Algorithm for Medial Axis Transform of Plane Domain,'' with H.I. Choi,
H.P. Moon and N.-S. Wee, Graphical
Models and Image Processing, Vol. 59, No. 6, pp. 463--483, 1997.
*) ``Mathematical
Theory of Medial Axis Transform,'' with H.I. Choi and H.P. Moon,
Pacific
Journal of Mathematics, Vol. 181, No. 1, pp. 57--88, 1997.
``Two-dimensional Offsets via Meidal Axis
Transform II: Algorithm,'' with H.I. Choi, C.Y. Han, H.P. Moon,
K.H. Roh, N.-S. Wee, 2001.
[ps]
(3.7M), [pdf]
(388k)
``Two-dimensional Offsets via Meidal Axis Transform
I: Mathematical Theory,'' with H.I. Choi, C.Y. Han, H.P. Moon, K.H.
Roh, N.-S. Wee, 2001.
[ps]
(2.4M), [pdf]
(429k)
``Hyperbolic Hausdorff Distance for Medial Axis
Transform,'' with H.-P. Seidel, Research Report, MPI-I-2000-4-003,
2000.
[ps]
(509k), [pdf]
(377k)
``Stability Analysis of Medial Axis Transform
under Relative Hausdorff Distance,'' with S.-W. Lee, 1999.
[ps]
(648k), [pdf]
(332k)
``Medial Axis Transform is One-sidedly Stable,''
with H.-P. Seidel.
``Monotone-Visibility: A Non-differentiable Generalization
of Semi-convexity for Planar Shapes''.
Minkowski Sum of Semi-convex Domains in $\mathbb{R}^2$,
Ph.D.
thesis, Department of Mathematics, Seoul National University, Seoul,
Korea, Feb. 1999.
A Proof of the Second Shannon Theorem,
M.S.
thesis, Department of Mathematics, Seoul National University, Seoul,
Korea, Feb. 1993.
``Medial Axis Transform: Shape, Algorithm,
and Stability,'' invited lecture at the Tenth International Colloquium
on Numerical Analysis and Computer Science with Applications, Plovdiv,
Bulgaria, August, 12--17, 2001.
slide : [ps]
(892k), [pdf]
(647k)
``Mathematical Theory and Algorithm of Two-Dimensional
Offsets via Medial Axis Transform,'' with C.Y. Han , H.I. Choi,
H.P. Moon, K.H. Roh, N.-S. Wee,
6th
SIAM Conference on Geometric Design, Albuquerque, New Mexico, November,
1999.
*) Awarded by ISI (the publisher
of the Science Citation Index) in 2000, as a `high impact paper',
or a `citation classic' in mathematics in Republic of Korea.
Last updated : April 3, 2002.