Date: Mon, 11 Nov 1996 02:08:31 GMT
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Shapiro, Vadim
College of Engineering
University of Wisconsin - Madison
 | Vadim Shapiro |
- Departments
- Computer Science
- Mechanical Engineering
- Education
- BA 1981, New York University
- MS 1983, University of California, Los Angeles
- MS 1989, Cornell University
- PhD 1991, Cornell Univeristy
- Research Interests
- computer-aided design and manufacturing, applied computational geometry, geometric and solid modeling, physical modeling, analysis and simulation, design and production automation
- Centers and Consortia
- Mathematics and Computation in Engineering Graduate Program
- Manufacturing Systems Engineering Program
- Spatial Automation Laboratory
- Selected Awards and Honors
- National Science Foundation CAREER Award, 1995
- General Motors Fellow, 1986-1990
- Selected Publications
- "Maintenance of geometric representations through space decompositions," International Journal on Computational Geometry and Applications, 1995.
- "Chain models of physical behavior for engineering analysis and design," Research in Engineering Design, Vol.5, No. 3, April 1994 (with R. S. Palmer).
- "Real functions for representation of rigid solids,"Computer-Aided Geometric Design, Vol. 11, No. 2, April 1994.
- "Separation for boundary to CSG conversion," ACM Transactions on Graphics, January 1993 (with D. L. Vossler).
Professor Shapiro's research interests center on relationships between
geometry and physical phenomena, so that mechanical artifacts can be
modeled, represented, analyzed, manipulated, designed, and manufactured
based on computer representations and algorithms.
- Some specific ongoing projects include:
- Geometric Modeling:
- Ability to create, convert between, and to maintain consistency of
distinct representations of mechanical parts is a major technological
barrier that undermines the usefulness and reliability of commercial
geometric modeling systems. Current research efforts focus on eliminating
ambiguity in communicating engineering specifications, formal modeling of
parametric families of mechanical parts, and investigating novel methods
and computational techniques in support of design and manufacturing.
- Mechanical Design:
- Today mechanical forms, functions, and fabrication processes cannot be
described combinatorially, in terms of discrete, simple, and interacting
primitives; this apparent lack of combinatorial structure is a
major roadblock for competitive design and manufacturing of mechanical systems.
In collaboration with industry, the present research deals with
theoretical, practical, and computational aspects of mechanical design
and seeks to establish a formal basis for making mechanical design and
manufacturing of parts more systematic and competitive, and for smooth
integration of mechanical form modeling with other engineering activities.
- Physical Modeling:
- Geometric models contain only part of the information needed to capture the
desired physical behavior of an artifact, and the processes used to
manufacture it. Recent study of algebraic topological models (so called
"chain models") of physical behavior suggests that it may be possible to
unify physical and geometric modeling and thus facilitate development of
new computer-aided engineering tools. Current investigations use these
and other models of physical behavior to develop new engineering languages
and computer algorithms for systematic specification, modeling,
simulation, and analysis of physical
objects and systems.
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