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Assembled here is a collection of articles presented at a NATO
ADVANCED STU DY INSTITUTE held at Puerto de la Cruz, Tenerife,
Spain during the period of July 10th to 21st, 1989. In addition to
the editors of these proceedings Professor Larry L. Schumaker from
Vanderbilt University, Nashville, Tennessee, served as a member of
the international organizing committee. The contents of the
contribu tions fall within the heading of COMPUTATION OF CURVES AND
SURFACES and therefore address mathematical and computational
issues pertaining to the dis play, modeling, interrogation and
representation of complex geometrical objects in various scientific
and technical environments. As is the intent of the NATO ASI
program the meeting was two weeks in length and the body of the
scientific activities was organized around prominent experts. Each
of them presented lectures on his current research activity. We
were fortunate to have sixteen distinguished invited speakers
representing nine NATO countries: W. Bohm (Federal Republic of
Germany), C. de Boor (USA), C.K. Chui (USA), W. Dahmen (Federal
Republic of Germany), F. Fontanella (Italy), M. Gasca (Spain), R.
Goldman (Canada), T.N.T. Goodman (UK), J.A. Gregory (UK), C.
Hoffman (USA), J. Hoschek (Federal Republic of Germany), A. Le
Mehaute (France), T. Lyche (Norway), C.A. Micchelli (USA), 1.1.
Schumaker (USA), C. Traas (The Netherlands). The audience consisted
of both young researchers as well as established scientists from
twelve NATO countries and several non-NATO countries.
This volume contains both invited lectures and contributed talks
presented at the meeting on Total Positivity and its Applications
held at the guest house of the University of Zaragoza in Jaca,
Spain, during the week of September 26-30, 1994. There were present
at the meeting almost fifty researchers from fourteen countries.
Their interest in thesubject of Total Positivity made for a
stimulating and fruitful exchange of scientific information.
Interest to participate in the meeting exceeded our expectations.
Regrettably, budgetary constraints forced us to restriet the number
of attendees. Professor S. Karlin, of Stanford University, who
planned to attend the meeting had to cancel his participation at
the last moment. Nonetheless, his almost universal spiritual
presence energized and inspired all of us in Jaca. More than
anyone, he influenced the content, style and quality of the
presentations given at the meeting. Every article in these
Proceedings (except some by Karlin hirnself) references his
influential treatise Total Positivity, Volume I, Stanford
University Press, 1968. Since its appearance, this book has
intrigued and inspired the minds of many researchers (one of us, in
his formative years, read the galley proofs and the other of us
first doubted its value but then later became its totally committed
disciple). All of us present at the meeting encourage Professor
Karlin to return to the task of completing the anxiously awaited
Volume 11 of Total Positivity.
This volume contains both invited lectures and contributed talks
presented at the meeting on Total Positivity and its Applications
held at the guest house of the University of Zaragoza in Jaca,
Spain, during the week of September 26-30, 1994. There were present
at the meeting almost fifty researchers from fourteen countries.
Their interest in thesubject of Total Positivity made for a
stimulating and fruitful exchange of scientific information.
Interest to participate in the meeting exceeded our expectations.
Regrettably, budgetary constraints forced us to restriet the number
of attendees. Professor S. Karlin, of Stanford University, who
planned to attend the meeting had to cancel his participation at
the last moment. Nonetheless, his almost universal spiritual
presence energized and inspired all of us in Jaca. More than
anyone, he influenced the content, style and quality of the
presentations given at the meeting. Every article in these
Proceedings (except some by Karlin hirnself) references his
influential treatise Total Positivity, Volume I, Stanford
University Press, 1968. Since its appearance, this book has
intrigued and inspired the minds of many researchers (one of us, in
his formative years, read the galley proofs and the other of us
first doubted its value but then later became its totally committed
disciple). All of us present at the meeting encourage Professor
Karlin to return to the task of completing the anxiously awaited
Volume 11 of Total Positivity.
Assembled here is a collection of articles presented at a NATO
ADVANCED STU DY INSTITUTE held at Puerto de la Cruz, Tenerife,
Spain during the period of July 10th to 21st, 1989. In addition to
the editors of these proceedings Professor Larry L. Schumaker from
Vanderbilt University, Nashville, Tennessee, served as a member of
the international organizing committee. The contents of the
contribu tions fall within the heading of COMPUTATION OF CURVES AND
SURFACES and therefore address mathematical and computational
issues pertaining to the dis play, modeling, interrogation and
representation of complex geometrical objects in various scientific
and technical environments. As is the intent of the NATO ASI
program the meeting was two weeks in length and the body of the
scientific activities was organized around prominent experts. Each
of them presented lectures on his current research activity. We
were fortunate to have sixteen distinguished invited speakers
representing nine NATO countries: W. Bohm (Federal Republic of
Germany), C. de Boor (USA), C.K. Chui (USA), W. Dahmen (Federal
Republic of Germany), F. Fontanella (Italy), M. Gasca (Spain), R.
Goldman (Canada), T.N.T. Goodman (UK), J.A. Gregory (UK), C.
Hoffman (USA), J. Hoschek (Federal Republic of Germany), A. Le
Mehaute (France), T. Lyche (Norway), C.A. Micchelli (USA), 1.1.
Schumaker (USA), C. Traas (The Netherlands). The audience consisted
of both young researchers as well as established scientists from
twelve NATO countries and several non-NATO countries."
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