Date: Mon, 11 Nov 1996 02:08:31 GMT Server: NCSA/1.5 Content-type: text/html Shapiro, Vadim
College of Engineering
University of Wisconsin - Madison

ME

Vadim Shapiro

Vadim Shapiro

Assistant Professor

355 Mechanical Engineering
1513 University Avenue
Madison, WI 53706
Tel: 608-262-3591
Fax: 608-265-2316

E-mail: vshapiro@engr.wisc.edu
Portrait: 46K JPG
URL: http://sal-cnc.me.wisc.edu


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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