Control Systems
Resume:
Resume of Allen Tannenbaum
Personal Data
Name: Allen Robert Tannenbaum.
Date and Place of Birth: January 25th, 1953, New York City, New York.
Family Status: Married with 2 children.
Telephone Number: 612-***-****.
Email: abqrh4@r.postjobfree.com.
Education
i Columbia University, B.A. in Mathematics, June 1973.
ii Harvard University, Ph.D. in Mathematics, June 1976.
Ph.D. advisor: Professor Heisuke Hironaka, Harvard University.
Thesis title: Deformations of 1-Cycles and the Chow Scheme.
Main Fields of Interest
Computational computer vision, image processing, medical imaging, com-
puter graphics, control, mathematical systems theory, control of semicon-
ductor fabrication processes, robotics, operator theory, functional analysis,
algebraic geometry, di erential geometry, invariant theory, and partial dif-
ferential equations.
Present Position
Professor, Department of Electrical Engineering, University of Minnesota,
Minneapolis, Minnesota, September 1988 - Present.
Recent Professional Activities
1. Co-Director of the Center for Control and Dynamical Systems Uni-
versity of Minnesota , 1990-1995.
2. Technical consultant for Honeywell, 3M Corporation, GE Medical Sys-
tems, Picker, and Mayo Clinic.
3. Former associate editor of Systems and Control Letters. Associate
editor of International Journal of Robust and Nonlinear Control, and
SIAM Journal of Control and Optimization.
1
4. Reviewer for Mathematical Reviews and Zentralblatt fur Mathematik.
5. Referee for numerous mathematics and engineering journals.
6. Have given numerous invited lectures at universities, conferences, and
companies in Britain, Canada, China, France, Germany, Greece, Hol-
land, Israel, Italy, Japan, Norway, Russia, Spain, Sweden, Switzerland,
and the United States.
7. On organizing committee for Mathematical Control Conference in Is-
rael in 1993.
8. Co-organizer with Professors David Mumford, Peter Olver, and Dr.
Guillermo Sapiro of workshop on computer vision held at Geometry
Center of University of Minnesota in 1995.
9. On organizing committee for US-China Control Conference held in
1995.
10. Co-organizer with Prof. Tryphon Georgiou of AFOSR Contractors'
Meeting held in Minneapolis in 1995.
11. On the organizing committee of the 1996 SPIE Conference in San
Diego.
12. Member of SIAM Reid Prize Committee.
13. Guest editor with J. Morel and G. Sapiro of special issue of IEEE
Trans. on Image Processing on partial di erential equation methods.
14. Have supervised 19 doctoral and 12 masters students.
15. On the Editorial Board of SIAM Book Series on Control and Dynam-
ical Systems.
Awards and Honors
1. Phi beta kappa.
2. Graduated summa cum laude from Columbia University.
3. Kennedy Research Prize Weizmann Institute .
2
4. NSF Research Initiation Award.
5. Fellow Award, Japanese Mathematical Society.
6. Plenary Speaker at International Conference on Partial Di erential
Equations and Distributed Control 1991 .
7. Principal Lecturer for the CRM University of Montreal Summer
School in Optimization and Control 1992 .
8. Keynote Speaker at American Mathematical Society Annual Meeting
1994 .
9. Plenary Speaker at American Mathematical Society Meeting 1997 .
10. George Taylor Research Award University of Minnesota .
11. Plenary Speaker for SIAM Conference on Control 1998 .
12. Plenary Speaker for AFOSR Workshop on Optimal Design and Control
1997 .
13. Takeda Best Paper Award for New solution to the two block H 1
problem for in nite dimensional stable plants" with K. Hirata, Y.
Yamamoto, T. Katayama , Trans. of the Society of Instrument and
Control Engineers 32 1996 , pp. 1416 1424.
3
LIST OF PUBLICATIONS
Refereed Journal Publications
Degenerations of curves in P3," Proc. Am. Math. Soc. 65 1978 ,
1.
6-10.
2. Irreducible components of the Chow Scheme of space curves," Math.
Zeitschrift 162 1978 , 287-294.
On the geometric genera of projective curves," Math. Annalen 240
3.
1979 , 213-221.
Deformations of space curves," Archiv der Mathematik 34 1980 ,
4.
37-42.
5. Families of algebraic curves with nodes," Compositio Mathematica
41 1980 , 107-126.
6. Feedback stabilization of linear dynamical plants with uncertainty in
the gain factor," International Journal of Control 32 1980 , 1-16.
7. Castelnuovo curves and unobstructed deformations," Math. Zeitschrift
174 1980 , 141-147.
Families of curves with nodes on K-3 surfaces," Math. Annalen 280
8.
1982 , 239-253.
9. On the stabilizer subgroup of a pair of matrices," Linear Algebra and
its Applications Special Issue on Linear Control Theory 50 1983 ,
527-544.
10. Modi ed Nevanlinna-Pick interpolation and stabilization of linear
plants with uncertainty in the gain factor," International Journal of
Control 36 1982 , 331-336.
11. On pole assignability over polynomial rings," Systems and Control
Letters 2 1982 , 13-16.
12. A note on linear systems on K-3 surfaces," Proc. Am. Math. Soc.
86 1982 , 6-9.
4
13. On the classicial characteristic linear series of plane curves with nodes
and cuspidal points: two examples of Beniamino Segre," Compositio
Mathematica 51 1984 , 169-183.
14. Polynomial rings over arbitrary elds in two or more variables are
not pole assignable," Systems and Control Letters 2 1982 , 222-226.
15. Linear systems on curves," Bulletin of the Canadian Math. Soc. 27
1984 , 371-375.
16. Pointwise stability and feedback control of linear systems with non-
commensurate delays" with E. W. Kamen and P. P. Khargonekar ,
Acta Math. 2 1984 , 159-184.
17. On a certain class of real algebras which are projective-free," Archiv
der Mathematik 42 1984 , 474-478.
18. Stabilization of time-delay systems using nite-dimensional compen-
sators" with E. W. Kamen and P. P. Khargonekar , IEEE Trans. on
Aut. Control AC-30, January 1985, 74-78.
19. Noneuclidean metrics and the robust stabilization of systems with
parameter uncertainty" with P. P. Khargonekar , IEEE Trans. on
Aut. Control AC-30, October 1985, 1005-1013.
20. Robust control of linear time-invariant plants using periodic compen-
sation" with P. P. Khargonekar and K. Poolla , IEEE Trans. on Aut.
Control AC-30, November 1985, 1088-1096.
21. Stable Bezout factorizations and feedback control of time-delay sys-
tems," with E. W. Kamen and P. P. Khargonekar , International
Journal of Control 43 1986 , 837-857.
22. On the multivariable gain margin problem," Automatica 22 1986 ,
381-384.
23. On the sensitivity minimization problem for linear time-varying peri-
odic systems" with A. Feintuch and P. P. Khargonekar , SIAM Jour-
nal on Control and Optimization 24 1986 , 1076-1085.
24. Gain optimization for distributed systems" with A. Feintuch , Sys-
tems and Control Letters 6 1986 , 295-301.
5
25. Robotic manipulators and the geometry of real semi-algebraic sets"
with Y. Yomdin , IEEE Journal of Robotics and Automation RA-3
1987 , 301-308.
26. Weighted sensitivity minimization for delay systems" with C. Foias
and G. Zames , IEEE Trans. on Automatic Control AC-31 August
1986, 763-766.
27. On the H 1-optimal sensitivity problem for systems with delays"
with C. Foias and G. Zames , SIAM Journal on Control and Op-
timization 25 1987 , 686-706.
28. On decoupling the H 1 -optimal sensitivity problem for products of
plants" with C. Foias and G. Zames , Systems and Control Letters 7
1986 , 239-246.
29. On the Nehari problem for a certain class of L1 -functions appearing
in control theory" with C. Foias , Journal of Functional Analysis 74
1987 , 146-159.
30. Sensitivity minimization for arbitrary SISO distributed plants" with
C. Foias and G. Zames , Systems and Control Letters 8 1987 , 189-
195.
31. On the uniqueness of a minimal norm representative of an operator in
the commutant of the compressed shift" with C. Foias , Proceedings
of the American Mathematical Society 101 1987 , 687-692.
32. On a local nonlinear commutant lifting theorem" with J. Ball, C.
Foias, J. W. Helton , Indiana Univ. Journal of Mathematics 36 1987 ,
693-709.
33. On the Nehari problem for a certain class of L1 -functions appear-
ing in control, II" with C. Foias , Journal of Functional Analysis 81
1988 , 207-218.
34. Weighted sensitivity minimization: general plants in H 1 and rational
weights" with T. Lypchuk and M. Smith , Linear Algebra and its
Applications 109 1988 , 71-90.
35. Optimal sensitivity theory for multivariate distributed plants" with
C. Foias , International Journal of Control 47 1988 , 985-992.
6
36. Generalized interpolation theory in control" with B. Francis , Math-
ematical Intelligencer 10 1988 , 48-53.
37. On skew Toeplitz operators, I" with H. Bercovici and C. Foias ,
Operator Theory: Advances and Applications 29 1988 , 21-45.
38. A Poincar-Dulac approach to a nonlinear Beurling-Lax-Halmos the-
e
orem" with J. Ball, C. Foias, and J. W. Helton , Journal of Math.
Analysis and Applications 139 1989 , 496-514.
39. Some explicit formulae for the singular values of certain Hankel oper-
ators with factorizable symbol" with C. Foias and G. Zames , SIAM
J. Mathematical Analysis 19 1988 , 1081-1091.
40. On the four block problem, I," with C. Foias , Operator Theory:
Advances and Applications 32 1988 , 93-112.
41. Iterated commutant lifting for systems with rational symbol" with
C. Foias , Operator Theory: Advances and Applications 41 1989 ,
255-277.
42. On the parametrization of the suboptimal solutions in generalized
interpolation" with C. Foias , Linear Algebra and its Applications
124 1989 , 145-164.
43. On the four block problem, II: the singular system" with C. Foias ,
Integral Equations and Operator Theory 11 1988 , 726-767.
44. Weighted sensitivity optimization for nonlinear systems" with C.
Foias , SIAM Journal on Control and Optimization 27 1989 , 842-
860.
45. Some remarks on optimal interpolation" with C. Foias , Systems and
Control Letters 11 1988 , 259-264.
46. Skew Toeplitz approach to the H 1-control of multivariate distributed
systems" with H. Ozbay , SIAM J. Control and Optimization 28
1990 , 653-670.
47. A strong Parrot theorem" with C. Foias , Proceedings of the Amer-
ican Mathematical Society 106 1989 , 777-784.
7
48. Control of slowly time-varying linear systems" with E. Kamen and P.
Khargonekar , IEEE Transactions Automatic Control AC-34 1989 ,
1283-1286.
49. Four block problem : stable weights and rational weightings" with
P. Khargonekar and H. Ozbay , International Journal of Control 50
1989 , 1013-1023.
50. On the structure of suboptimal H 1 controllers in the sensitivity min-
imization for distributed stable plants" with H. Ozbay , Automatica
27 1991 , 293-305.
51. A spectral commutant lifting theorem" with H. Bercovici and C.
Foias , Transactions of the AMS 325 1991 , 741-763.
52. On certain minimal entropy extensions appearing in dilation theory"
with C. Foias and A. Frazho , Linear Algebra and Its Applications
137 1990 , 213-238.
53. On spectral tangential Nevanlinna-Pick interpolation" with H. Bercovici
and C. Foias , Journal of Math. Analysis and Applications 155 1991 ,
156-176.
54. The invariant subspaces of a uniform Jordan operator" with H.
Bercovici , Journal Math. Analysis and Applications 156 1991 , 220-
230.
55. Frequency domain analysis and robust control design for an ideal ex-
ible beam" with K. Lenz, H. Ozbay, J. Turi, B. Morton , Automatica
27 1991 , 947-961.
56. Mixed sensitivity optimization for unstable in nite dimensional sys-
tems" with H. Ozbay and M. Smith , Linear Algebra and Its Appli-
cations 178 1993 , 43-83.
57. On the evolution of curves via a function of curvature, I: the classical
case" with B. Kimia and S. Zucker , Journal of Math. Analysis and
Applications 163 1992 , 438-458.
58. Structured interpolation theory" with H. Bercovici and C. Foias ,
Operator Theory: Advances and Applications 47 1990 , 195-220.
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59. On the optimal solutions in spectral commutant lifting theory" with
H. Bercovici and C. Foias , Journal of Functional Analysis 101 1991 ,
38-49.
60. On a causal linear optimization theorem" with C. Foias and C. Gu ,
Journal of Math. Analysis and Applications 182 1994 , pp. 555 565.
61. Abstract model and controller design for an unstable aircraft," with
D. Enns and H. Ozbay , AIAA Journal on Guidance, Control, and
Dynamics 15 1992 , 498-508.
62. Some mathematical problems in computer vision" with A. Bruck-
stein , Acta Math. Appl. 30 1993 .
63. Causality in commutant lifting theory" with C. Foias , Journal of
Functonal Analysis 118 1993 , 407 441.
64. A lifting technique for linear periodic systems with applications to
sampled-data control" with B. Bamieh, B. Francis, J. B. Pearson ,
Systems and Control Letters 17 1991 , 79-88.
65. On combined H 1 H 2 suboptimal interpolants" with C. Foias and
A. Frazho , Linear Algebra and Its Applications 203-***-**** , pp.
443 469.
66. On a ne plane curve evolution" with G. Sapiro , Journal of Func-
tional Analysis 119 1994 , pp. 79 120.
67. Intertwining dilations, intertwining extensions, and causality" with
C. Foias and C. Gu , Acta Sci. Math. Szeged 56 1993 , pp. 101
123.
68. Nonlinear H 1 optimization: a causal power series approach," SIAM
J. Control and Optimization 33 1995 , pp. 185 207.
69. Nonlinearity in H 1 theory, causality in commutant lifting theory,
and extension of intertwining operators" with C. Foias and C. Gu ,
Integral Equations and Operator Theory 23 1995 , 89-100.
70. Shapes, shocks, and deformations, I: the components of shape and the
reaction-di usion space" with B. Kimia and S. Zucker , International
Journal of Computer Vision 15 1995 , 189-224.
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71. A ne invariant scale-space with G. Sapiro , International Journal
of Computer Vision 11 1993 , 25-44.
72. On invariant curve evolution and image analysis" with G. Sapiro ,
Indiana Univ. Journal of Mathematics 42 1993 , 985-1009.
73. A relative Toeplitz-Hausdor theorem" with H. Bercovici and C.
Foias , Operator Theory: Advances and Applications 71 1994 , pp.
29 34.
74. Continuity of the spectrum on closed similarity orbits" with H.
Bercovici and C. Foias , Integral Equations and Operator Theory 18
1994 , 242 246.
75. On area and length preserving geometric invariant curve evolutions"
with G. Sapiro , IEEE Trans. on Pattern Analysis and Machine
Inteligence 17 1995 , pp. 67 72.
76. Stability margin optimization via interpolation and conformal map-
pings" with J. Cockburn and Y. Sidar , IEEE Trans. Aut. Control
40 1995 , pp. 1066 1070.
77. On a lifting theorem for the structured singular value" with H.
Bercovici, C. Foias, and P. Khargonekar , Journal of Math. Analy-
sis and Applications 187 1994 , pp. 617 627.
78. Classi cation and uniqueness of invariant geometric ows" with P.
Olver and G. Sapiro , Comptes Rendus Acad. Sci. Paris 319 1994 ,
pp. 339 344.
79. Multivariable stability margin optimization: a spectral tangential
interpolation approach" with Juan Cockburn , Int. J. Control 63
1996 , pp. 557-590.
80. The structured singular value for linear input output systems," with
H. Bercovici and C. Foias , SIAM J. Control and Optimization 34
1996 , pp. 1392 1404.
81. Invariant geometric evolutions of surfaces and volumetric smoothing"
with P. Olver and G. Sapiro , SIAM J. Applied Math. 57 1997 , pp.
176-194.
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82. Optical ow: a curve evolution approach" with A. Kumar and G.
Balas , IEEE Trans. Image Processing 5 1996 , pp. 598 611.
83. Conformal curvature ows: from phase transitions to active contours"
with S. Kichenesamy, A. Kumar, P. Olver, and A. Yezzi , Archive for
Rational Mechanics and Analysis 134 1996 , pp. 275 301.
84. The equivalence among the solutions of the H 1 optimal sensitivity
computation problem" with K. Hirata and Y. Yamamoto , Trans. of
the Society of Instrument and Control Engineers 31 1995 , pp. 1954
1961.
85. Three snippets of curve evolution theory in computer vision," Math-
ematical and Computer Modelling Journal 24 1996 , pp. 103 119.
86. On skew Toeplitz operators, II" with H. Bercovici and C. Foias ,
Operator Theory: Advances and Applications 103 1997 .
87. Behavioral analysis of anisotropic di usion in image processing" with
Y. You, M. Kaveh, W. Xu , IEEE Trans. Image Processing 5 1996 ,
pp. 1539 1553.
88. A ne geometry, curve ows and invariant numerical approximations"
with E. Calabi and P. Olver , Advances in Mathematics 124 1996 ,
pp. 154 196.
89. New solution to the two block H 1 problem for in nite dimensional
stable plants" with K. Hirata, Y. Yamamoto, T. Katayama , Trans.
of the Society of Instrument and Control Engineers 32 1996 , pp.
1416 1424.
90. A ne invariant edge maps and active contours" with P. Olver and
G. Sapiro , to appear in Journal of Mathematical Imaging and Vision.
91. Geometric active contours for segmentation of medical imagery," with
S. Kichenesamy, A. Kumar, P. Olver, and A. Yezzi , IEEE Trans.
Medical Imaging 16 1997 , pp. 199 209.
92. Di erential and numerically invariant signature curves applied to ob-
ject recognition" with E. Calabi, P. Olver, C. Shakiban , International
Journal of Computer Vision 26 1998 , pp. 107-135.
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93. Some remarks on Hamiltonians and the in nite-dimensional one block
H 1 problem" with K. Hirata and Y. Yamamoto , Systems and Con-
trol Letters 29 1996 , pp. 111-117.
94. Area and length minimizing ows for segmentation" with Y. Lauziere,
K. Siddiqi, and S. Zucker , IEEE Trans. Image Processing 7 1998 ,
pp. 433-444.
95. Introduction to special issue of IEEE Trans. Image Processing on
partial di erential equation methods in image processing" with V.
Caselles, J. M. Morel, and G. Sapiro , IEEE Trans. Image Processing
7 1998 , pp. 269-274.
96. Shapes, shocks, and wiggles" with K. Siddiqi, B. Kimia, and S.
Zucker , to appear in Journal of Imaging and Vision Computation.
97. Curve evolution models for real-time identi cation with application
to plasma etching" with J. Berg and A. Yezzi , IEEE Trans. Aut.
Control 44 1999 , pp. 99-104.
98. Skew Toeplitz solution to the H 1 problem for in nite dimensional
unstable plants" with K. Hirata, Y. Yamamoto, and T. Katayama , to
appear in Trans. of the Society of Instrument and Control Engineers.
99. On the a ne invariant heat equation for nonconvex curves" with
S. Angenent and G. Sapiro , Journal of the American Mathematical
Society 11 1998 , pp. 601-634.
100. The shape triangle: parts, protrusions, and bends" with B. Kimia,
K. Siddiqi, and S. Zucker , to appear in Vision Research.
101. On a state space solution to the singular value problem of Toeplitz
operators and the computation of the gap" with K. Hirata and Y.
Yamamoto , to appear in Systems and Control Letters.
102. Knowledge-based segmentation of SAR data with learned priors"
with S. Haker and G. Sapiro , to appear in IEEE Trans. Image
Processing.
103. Laplace-Beltrami operator and brain surface attening" with S. An-
genent, S. Haker, and R. Kikinis , to appear in IEEE Trans. on Med-
ical Imaging.
12
104. On the computation of switching surfaces in optimal control: A
Groebner basis approach" with U. Walther and T. Georgiou , sub-
mitted for publication to IEEE Trans. Aut. Control.
Books
105. Invariance and Systems Theory: Algebraic and Geometric Aspects,
Lecture Notes in Mathematics 845, Springer-Verlag, New York, 1981.
106. Feedback Control Theory with John Doyle and Bruce Francis , MacMil-
lan Company, New York, 1991. This book has been translated into
Chinese and Japanese.
107. Robust Control of Distributed Parameter Systems with Ciprian Foias
and Hitay Ozbay , Lecture Notes in Control and Information Sciences
209, Springer-Verlag, New York, 1995.
108. Feedback Control, Uncertainty, and Complexity, edited by Bruce Fran-
cis and Allen Tannenbaum, Lecture Notes in Control and Information
Sciences 202, Springer-Verlag, New York, 1995.
109. Deformation Theory, lectures by Michael Artin, notes by C. S. Se-
shadri and A. Tannenbaum, Tata Institute Lecture Notes, Bombay,
India, 1976.
Book Chapters
110. The Brauer group and unirationality: an example of Artin-Mumford,"
Lecture Notes in Mathematics 844, Springer-Verlag, New York 1981 ,
103-128.
111. On weak pole placement of linear systems depending on parameters"
with P. P. Khargonekar , Lecture Notes in Control and Information
Sciences 58, Springer-Verlag, New York 1984 , 829-839.
112. A local theory of linear systems with noncommensurate time delays"
with E. W. Kamen and P. P. Khargonekar , Lecture Notes in Control
and Information Sciences 58, Springer-Verlag, New York 1984 , 521-
541.
13
113. Optimal interpolation in H 1 : a new approach" with C. Foias and G.
Zames , Modelling, Robustness, and Sensitivity Reduction in Control
Systems edited by Ruth Curtain , NATO ASI Series, Springer-Verlag,
New York, 1987, 381-399.
114. Nonlinear interpolation in H 1 " with J. Ball, C. Foias, J. W. Helton ,
Modelling, Robustness, and Sensitivity Reduction in Control Systems
edited by Ruth Curtain , NATO ASI Series, Springer-Verlag, New
York, 1987, 31-47.
115. From curve detection to shape description" with A. Dobbins, L. Iver-
son, B. Kimia, and S. Zucker , in Computer Vision: Systems, Theory,
and Applications, edited by A. Basu and X. Li, World Scienti c, Sin-
gapore, 1993, pages 25-39.
116. Operator theoretic methods in the control of distributed and non-
linear systems" with C. Foias , in Signal Processing: Control Theory
and Applications, IMA Series on Applied Mathematics 23, Springer-
Verlag, 1990, 51-78.
117. On the singular values of the four block operator and certain gener-
alized interpolation problems" with C. Foias , Analysis and Partial
Di erential Equations, edited by Cora Sadosky, Marcel Dekker, New
York, 483-493, 1990.
118. Nonlinear H 1 theory" with C. Foias , Robust Control of Nonlin-
ear Systems and Nonlinear Control, edited by M. Kaashoek, J. van
Schuppen, A. Ran, Birkhauser, Boston, 1990, pages 267-276.
119. Standard problem for distributed systems" with C. Foias , Robust
Control of Nonlinear Systems and Nonlinear Control, edited by M.
Kaashoek, J. van Schuppen, A. Ran, Birkhauser, Boston, 1990, pages
599-608.
120. On the synthesis of H 1 optimal controllers for in nite dimensional
plants" with H. Ozbay , New Trends and Applications in Distributed
Parameter Control Systems, edited by G. Chen, E. B. Lee, W. Littman,
L. Markus, Marcel Dekker, New York, 1990, pages 271-301.
121. Invariant theory and families of systems," Mathematical System The-
ory: the In uence of R. E. Kalman, edited by A. C. Antoulas, Springer-
Verlag, New York, 1991, pages 327-345.
14
122. Spectral variants of the Nevanlinna-Pick interpolation problem" with
H. Bercovici and C. Foias , Signal Processing, Scattering and Opera-
tor Theory, and Numerical Methods, edited by M. Kaashoek, J. van
Schuppen, A. Ran, Birkhauser, Boston, 1990, pages 599-608.
123. Towards a computational theory of shape: an overview" with B.
Kimia and S. Zucker , Lecture Notes in Computer Science 427 1990 ,
pp. 402-407.
124. Generalized interpolation theory and its application to robust con-
trol design," Digital and Numeric Techniques and Their Applications
in Control Systems, edited by C. T. Leondes, Academic Press, 1993,
pages 163-217.
125. Entropy scale-space" with B. Kimia and S. Zucker , in Visual Form,
edited by C. Arcelli, pages 333-344, Plenum Press, New York, 1992.
126. On optimal control methods in computer vision and image process-
ing" with B. Kimia and S. Zucker , in Geometry Driven Di usion in
Computer Vision, edited by Bart Romeny, Kluwer, Holland, 1994.
127. Exploring the shape manifold: the role of conservation laws" with B.
Kimia and S. Zucker , in Ying-Lie, O., Toet, A., Foster, D., Heijmans,
H., and Meer, P. eds , Shape in Picture, Springer-Verlag, 1994, 601 -
620.
128. Di erential invariant signatures and ows in computer vision: a sym-
metry group approach" with P. Olver and G. Sapiro , in Geometry
Driven Di usion in Computer Vision, edited by Bart Romeny, Kluwer,
Holland, 1994.
129. On the structured singular value for operators on Hilbert space,"
with H. Bercovici and C. Foias , Lecture Notes in Control and Infor-
mation Sciences 202 1995 , 11 23.
130. On the shape triangle" with B. Kimia and S. Zucker , in C. Arcelli,
L. Cordella, and G. Sanniti di Baja eds , Aspects of Visual Form
Processing, 1994, World Scienti c, Singapore, 307 - 323.
131. Frequency domain methods for the H 1 optimization of distributed
systems," in Analysis and Optimization of Systems: State and Fre-
quency Domain Approaches for In nite Dimensional Systems, edited
15
by Ruth Curtain, Lecture Notes in Control and Information Sciences
185, Springer-Verlag, New York, 1992.
132. New techniques for the control of linear in nite dimensional systems"
with E. W. Kamen and P. Khargonekar , in Frequency Domain and
State Space Methods for Linear Systems edited by C. Byrnes and A.
Lindquist, North Holland, Amsterdam 1986 , pages 355-367.
133. Periodic controllers for robust control of linear time-invariant plants,"
with P. P. Khargonekar and K. Poolla , in Modelling,Identi cation
and Robust Control edited by C. Byrnes and A. Lindquist, North Hol-
land, Amsterdam 1986 , pages 137-147.
134. Invariant numerical approximations to di erential invariant signa-
tures" with E. Calabi and P. Olver , to appear.
On the nonlinear standard H 1 problem" with C. Foias and C. Gu ,
135.
in Communications, Computation, Control, and Signal Processing,
edited by A. Paulraj and V. Roychowdhury, Kluwer, Holland, 1997.
136. Di erential invariants and curvature ows in active vision" with A.
Yezzi , in Operators, Systems, and Linear Algebra edited by U. Helmke
and D. Praetzel-Wolters, Birkhauser-Verlag, 1997.
137. Gradients, curvature, and visual tracking" with A. Yezzi , in Compu-
tational Methods for Optimal Design and Control edited by J. Borggaard,
J. Burns, E. Cli, and S. Schreck, Birkhauser-Verlag, 1998.
138. Multivariable gain margins and spectral interpolation," in Open Prob-
lems in Mathematical Systems and Control Theory, edited by V. Blon-
del, E. Sontag, M. Vidyasagar, and J. Willems, Springer, New York,
1998.
139. Mean curvature ows, edge detection, and medical image segmenta-
tion" with S. Angenent, S. Haker, A. Yezzi , to appear as a book
chapter.
140. Visual tracking, active vision, and gradient ows" with A. Yezzi ,
in The Con uence of Vision and Control, edited by G. Hager and
D. Kriegman, Lecture Notes in Control and Information Sciences 237,
Springer-Verlag, New York, 1998.
16
141. Switching surfaces and Groebner bases" with T. Georgiou , in Learn-
ing, Complexity, and Control, edited by Y. Yamamoto and S. Hara,
Lecture Notes in Control and Information Sciences 240, Springer-
Verlag, New York, 1998.
142. On area preserving maps of minimal distortion" with S. Angenent,
S. Haker, and R. Kikinis , to appear as a book chapter.
Conference Papers
143. Robust stabilization of systems with uncertain parameters" with P.
P. Khargonekar , Proceedings of 23rd IEEE Conference on Decision
and Control, Las Vegas, Nevada, December 1984, and MTNS, Stock-
holm, Sweden, June 1985.
144. Sensitivity minimization of delay systems" with C. Foias and G.
Zames , Proceedings of 24th IEEE Conference on Decision and Con-
trol, Fort Lauderdale, Florida, December 1985, 244-249.
145. Weighted sensitivity minimization for periodic systems" with A.
Feintuch and P. P. Khargonekar , Proceedings of 24th IEEE Confer-
ence on Decision and Control, Fort Lauderdale, Florida, December
1985, 686-688.
146. H 1-optimization theory for distributed systems" with C. Foias and
G. Zames , Proceedings of 25th IEEE Conference on Decision and
Control, Athens, Greece, December 1986.
147. Spectral Nevanlinna-Pick interpolation theory," Proceedings of 26th
IEEE Conference on Decision and Control, Los Angeles, December
1987, 1635-1638.
148. On the spectra and invertibility of a certain class of operators in
control" with C. Foias , Proceedings of 26th IEEE Conference on De-
cision and Control, Los Angeles, December 1987, 1338-1342.
149. A solution to the standard H 1 problem for multivariable distributed
systems" with H. Ozbay , Proceedings of 28th IEEE Conference on
Decision and Control, Tampa, Florida, December 1989, 1444-1446.
17
150. On approximately optimal H 1 controllers for distributed systems"
with H. Ozbay , Proceedings of 28th IEEE Conference on Decision
and Control, Tampa, Florida, December 1989, 1454-1460.
151. The four block problem for distributed systems" with C. Foias ,
Proceedings of 27th IEEE Conference on Decision and Control, Austin,
Texas, December 1988, 993-998.
152. Spectral radius interpolation and robust control" with H. Bercovici
and C. Foias , Proceedings of 28th IEEE Conference on Decision and
Control, Tampa, Florida, December 1989, 916-918.
153. Remarks on H 1 -optimization of multivariate distributed systems,"
Proceedings of 27th IEEE Conference on Decision and Control, Austin,
Texas, December 1988, 985-987.
154. Conservation laws and the evolution of shape" with B. Kimia and
S. Zucker , Human Machine Vision Workshop, SPIE Meetings, Fal-
mouth, MA, 1991.
155. Robust control design for a exible beam using a distributed param-
eter H 1 method" with K. Lenz, B. Morton, H. Ozbay , Proceedings
of 28th IEEE Conference on Decision and Control, Tampa, Florida,
December 1989, 2673-2678.
156. On the nonlinear mixed sensitivity problem" with D. Enns, C. Foias,
T. Georgiou, M. Jackson, B. Schipper , Proceedings of 28th IEEE Con-
ference on Decision and Control, Tampa, Florida, December 1989,
986-990.
157. Controller design for unstable distributed plants" with H. Ozbay and
M. C. Smith , Proceedings of ACC, 1990, 1583-1588.
158. Interpolation theory in robust control" with H. Bercovici and C.
Foias , Proceedings of IFAC, 1990.
159. Structured Nevanlinna-Pick and robust design" with H. Bercovici
and C. Foias , Proceedings of 29th IEEE Conference on Decision and
Control, Honolulu, Hawai, December 1990, 2874-2878.
160. Spectral tangential interpolation and gain margin problems" with
H. Bercovici and C. Foias , Proceedings of ACC, 1990, 2385-2388.
18
161. On the two block problem for unstable distributed systems" with
H. Ozbay and M. Smith , Proceedings of 29th IEEE Conference on
Decision and Control, Honolulu, Hawaii, December 1990, 1163-1167.
162. Computational methods for the H 1 control of distributed systems,"
Proceedings of 30th IEEE Conference on Decision and Control, Brighton,
England, December 1991.
163. H 1 optimal controllers for a distributed model of an aircraft" with
D. Enns and H. Ozbay , Proceedings of 30th IEEE Conference on
Decision and Control, Brighton, England, December 1991.
164. On the optimal two block H 1 compensators for distributed unstable
plants" with H. Ozbay , Proceedings of ACC, 1992.
165. A constructive solution to the gain-phase margin problem" with
Juan Cockburn and Yariv Sidar , Proceedings of 31st IEEE Conference
on Decision and Control, Arizona, 1992.
166. A conservation-minded approach to shape" with B. Kimia and S.
Zucker , Proceedings of IEEE Conference on Intelligent Control, Philadel-
phia, 1991.
167. On area and length preserving geometric di usions" with G. Sapiro ,
Proceedings of ECCV94, 1994.
168. Synthesis methods for robust nonlinear control" with D. Bugajski
and D. Enns , Proceedings of ACC, 1993.
169. Preliminary mu-synthesis design for the ATB-1000" with D. Buga-
jski and Dale Enns , Proceedings of Tenth Army Conference on Applied
Mathematics and Computing, West Point, New York, 1992.
170. Formulating invariant heat-type curve ows" with G. Sapiro , Pro-
ceedings of the SPIE Geometric Methods of Computer Vision Confer-
ence, San Diego, 1993.
171. Robust optimization of distributed parameter systems," Proceedings
of SPIE Conference on Mathematics and Control in Smart Structures,
pages 97-108, San Diego, 1995.
172. Non-linear shape approximation via the entropy scale space" with
B. Kimia and S. Zucker , Proceedings of the SPIE Geometric Methods
of Computer Vision Conference, San Diego, 1993.
19
173. A lifting technique for the robust stability analysis of systems with
structured time-varying perturbations" with H. Bercovici, C. Foias,
and P. Khargonekar , Proceedings of the Conference on Information
Sciences and Systems, Johns Hopkins University, March 1993.
174. A ne invariant ows and image smoothing" with G. Sapiro , Pro-
ceedings of the Conference on Information Sciences and Systems, Johns
Hopkins University, March 1993.
175. On structured tangential interpolation in robust control" with H.
Bercovici, J. Cockburn, and C. Foias , in Proceedings of 32nd IEEE
Conference on Decision and Control, December 1993.
176. Pseudorational functions and H 1 theory" with Y. Yamamoto , Pro-
ceedings of ACC, 1994.
177. Experiments on geometric image enhancement" with M. Kaveh, G.
Sapiro, Y. L. You , First IEEE International Conference on Image
Processing, Austin, 1994.
178. Results in anisotropic di usion" with Y. L. You, M. Kaveh, W. Xu ,
First IEEE International Conference on Image Processing, Austin,
1994.
179. Skew Toeplitz theory and pseudorational transfer functions" with Y.
Yamamoto , Proceedings of IEEE Conference on Decision and Control,
1994.
180. Gradient ows and geometric active contours" with S. Kichenesamy,
A. Kumar, P. Olver, and A. Yezzi , Proceedings of ICCV, 1995.
181. A ne invariant gradient ows" with P. Olver and G. Sapiro , Pro-
ceedings of International Conference on Partial Di erential Equations
Computer Vision and Image Processing, Paris, 1996.
182. Surface ows for 3D segmentation" with A. Yezzi , Proceedings of
MTNS, 1996.
183. Gradient ow based snake models" with S. Kichenasamy, A. Kumar,
P.Olver, A. Yezzi , Proceedings of IEEE Conference on Decision and
Control, December 1995.
20
L1 minimization approach for the computation of optical ow" with
184.
A. Kumar and G. Balas , Proceedings of International Conference on
Image Processing, 1995.
185. A ne gradients, edge detection, and contour nding" with P. Olver
and G. Sapiro , Proceedings of CVPR, June 1996.
New solution to the two block H 1 problem for in nite dimensional
186.
stable plants" with K. Hirata and Y. Yamamoto , Proceedings of the
European Control Conference, September 1995.
187. A gradient surface approach to 3D segmentation" with S. Kichene-
samy, P. Olver, and A. Yezzi , Proceedings of IS&T 49th Annual Con-
ference, May 1996.
188. Surface evolution, conformal metrics, 3D contour nding, and 3D
segmentation" with S. Kichenesamy, P. Olver, and A. Yezzi , MTNS,
June 1996.
189. Robust estimation for visual motion" with A. Kumar and G. Balas ,
Proceedings of SPIE, San Diego, California, 1996.
190. State space formulae for the gap computation" with K. Hirata and Y.
Yamamoto , Proceedings of IEEE Conference on Decision and Control,
1996.
191. Phase transitions and the estimation and control of semiconductor
manufacturing processes" with J. Berg and A. Yezzi , Proceedings of
IEEE Conference on Decision and Control, 1996.
192. Shapes, shocks, and wiggles" with B. Kimia, K. Siddiqi, and S.
Zucker , International Workshop on Visual Form, June 1997.
193. Toward real-time estimation of surface motion: isotropy, anisotropy,
and self-calibration" with J. Berg and A. Yezzi , to appear in Proceed-
ings of IEEE Conference on Decision and Control, December 1997.
Stereo disparity and L1 minimization" with S. Haker, A. Kumar, C.
194.
Vogel, and S. Zucker , Proceedings of IEEE Conference on Decision
and Control, December 1997.
195. Hyperbolic smoothing of shapes" with K. Siddiqi, and S. Zucker ,
Proceedings of ICCV, January 1998.
21
196. Real-time control of semiconductor etching processes: experimental
results" with J. Berg and T. Higman , Proceedings of SPIE, 1997.
197. Causal power series and the nonlinear standard H 1 problem" with
C. Foias and C. Gu , Proceedings of IEEE Conference on Decision and
Control, December 1997.
198. Knowledge based segmentation of SAR images" with S. Haker and
G. Sapiro , Proceedings of International Conference on Image Process-
ing, 1998.
199. On the psychophysics of the shape triangle" with B. Kimia, K. Sid-
diqi, and S. Zucker , submitted to the Vision Attention Conference,
Providence, RI, 1999.
200. On the computation of the gap metric" with K. Hirata and Y. Ya-
mamoto , Proceedings of MTNS, 1998.
201. Categorical features in shape perception" with B. Kimia, K. Siddiqi,
and S. Zucker , to appear in ARVO Conference, 1999.
202. Conformal surface parametrization for texture mappings" with S.
Angenent, S. Haker, M. Halle, R. Kikinis , Technical Report, Depart-
ment of ECE, University of Minnesota, December 1998.
203. On the psychophysics of the shape triangle" with B. Kimia, K. Sid-
diqi, and S. Zucker , submitted to the Vision Attention Conference,
Providence, RI, 1999.
204. A Hamiltonian approach to the eikonal equation" with K. Siddiqi
and S. Zucker , submitted to Proceedings of CVPR'99.
205. Conformal geometry and visualization of colon MR images" with
S. Angenent, S. Haker, and R. Kikinis , to appear in Proceedings of
ISCAS'99.
206. Computational algebraic geometry and switching surfaces in optimal
control" with T. Georgiou and U. Walther , submitted to Proceedings
of 1999 IEEE Conference on Decision and Control.
207. The Hamilton-Jacobi skeleton" with K. Siddiqi and S. Zucker , sub-
mitted to Proceedings of ICCV'99.
22
208. On the evolution of the skeleton" with J. August and S. Zucker ,
submitted to Proceedings of ICCV'99.
Book Reviews
209. Book review of H 1 -Optimal Control and Related Minimax Design
Problems, by T. Ba ar and P. Bernhard, SIAM Review 1994 .
s
210. Book review of Theory of Limit Cycles, by Ye Yan-Qian, Bulletin of
the American Mathematical Society 17 1987 , 178-180.
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