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Shapiro, Vadim;College of EngineeringUniversity of Wisconsin - Madison;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.;[ UW | COE | Depts | Centers | Consortia | Services | Fountain ];[ Index | Search | Mail | What's New | Credits | Help ];Last Modified: Thursday, 18-Jul-96 10:39:07 CDT;This page is best viewed by browsers that support TABLES.;All photographs © 1996 College of Engineering.;Address comments to webmaster@engr.wisc.edu;Update Profile;