University of Wisconsin-Madison
Skip navigation
  Home arrow Publications

UW = Madison
  Spatial Automation Laboratory
Main Menu
Home
Overview
Projects
Publications
- - - - - - -
- - - - - - -
Presentations
People
Research Opportunities
Sponsors
Courses
Contact Us
Sitemap
Search
Publications
SAL 2009-2A. DiCarlo, F. Milicchio, A. Paoluzzi, and V. Shaprio, Discrete Physics using Metrized Chains, 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
SAL 2009-1S. Nelaturi, V. Shapiro, Configuration Products in Geometric Modeling, 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
SAL 2008-2S. Nelaturi, A. Abhyankar, V. Shapiro, and R. Tilove, Feasible Spaces in Weld Gun Selection, IEEE Conference on Automation Science and Engineering, 2008
SAL 2008-1S. Nelaturi and V. Shapiro, Spatial Characterization of Reconfigurable Devices, preprint
SAL 2007-6J. Chen, Shape Optimization Using Constructive Representations, Ph.D. Thesis, Computer Science Department, University of Wisconsin, Madison, December 2007
  • contact V. Shapiro for access
SAL 2007-5J. Qi, Validation and Translation of Epsilon-Solids, Ph.D. Thesis, Mechanical Engineering Department, University of Wisconsin, Madison, October 2007
  • contact V. Shapiro for access
SAL 2007-4J. Chen, V. Shapiro, Optimization of Continuous Heterogeneous Models, SAL Technical Report, June 2007
SAL 2007-3M. Freytag, Scan and Solve: Acquiring the Physics of Artifacts, Proceedings of the ASME 2007 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, September 4-7, 2007, Las Vegas, USA.
SAL 2007-2M. Freytag, V. Shapiro, and I. Tsukanov, Differentiable Distance Fields from Scanned Data, Technical Report, March 2007.
  • contact V. Shapiro for access
SAL 2007-1V. Shapiro, Semi-Analytic Geometry with R-functions, ACTA Numerica, Volume 16, 2007, pages 239-303
SAL 2006-6A. DiCarlo, F. Milicchio, A. Paoluzzi, V. Shapiro, Solid and Physical Modeling with Chain Complexes, Proceedings of the 2007 ACM Symposium on Solid and Physical Modeling, Beijing, China, June 4-6, 2007.
SAL 2006-5J. Chen, M. Freytag, and V. Shapiro, Shape Sensitivity of Constructive Representations,, Proceedings of the 2007 ACM Symposium on Solid and Physical Modeling, Beijing, China, June 4-6, 2007.
SAL 2006-4F. Milicchio, A. DiCarlo, A. Paoluzzi, V. Shapiro, A Codimension-Zero Approach to Discretizing and Solving Field Problems, Technical Report, September 2007
SAL 2006-3I. Tsukanov and V. Shapiro, Adaptive Multiresolution Refinement With Distance Fields, International Journal of Numerical Methods in Engineering, accepted for publication, 2007.
SAL 2006-2V. Shapiro, Homotopy conditions for tolerant geometric queries, Proceedings of the Dagstuhl Workshop on Reliable Implementation of Real Number Algorithms: Theory and Practice, January 2006 (to be published in LNCS by Springer)
SAL 2006-1J. Chen, V. Shapiro, K. Suresh, and I. Tsukanov, Shape Optimization with Topological Changes and Parametric Control, International Journal of Numerical Methods in Engineering, Volume 71, No 3, 2007, pages 313-346.
  • A short version appears as Paper DETC2006-99612, Proceedings of 32nd Design Automation Conference, ASME International Design Engineering Technical Conferences, September 10-13, 2006, Philadelphia, Pennsylvania. Best Paper Award.
SAL 2005-1J. Qi, V. Shapiro, and N. F. Stewart, Single-set and class-of-sets semantics for geometric models, Computer Aided Design, Volume 38 (2006), pages 1088-1098
SAL 2004-4A. Biswas, S. Fenves, V. Shapiro, and R. Sriram, Representation of Heterogeneous Material Properties in Core Product Model, Technical Report, December 2004.
SAL 2004-3J. Qi and V. Shapiro, Epsilon - Regular Sets and Intervals, Proceedings of IEEE International Conference on Shape Modeling and Applications, 15-17 June 2005.
SAL 2004-2J. Qi and V. Shapiro, Epsilon-Solidity in Geometric Data Translation, Technical Report, June 2004.
SAL 2004-1M. Freytag, V. Shapiro, and I. Tsukanov, Field Modeling with Sampled Distances, Computer Aided Design, Volume 38, Issue 2, February 2006, Pages 87-100.
SAL 2003-4I. Tsukanov and V. Shapiro, Meshfree Modeling and Analysis of Physical Fields in Hetrogeneous Media, Journal of Advances in Computational Mathematics, Volume 23 (2005), Number 1-2, pp. 95-124, 2005.
SAL 2003-3H. Ilies and V. Shapiro, Equivalence Classes for Shape Synthesis of Moving Mechanical Parts, ASME/ACM Journal of Computing and Information Science in Engineering, Vol. 4, No. 3, March 2003, pp 20-27.
SAL 2003-2M. Freytag and V. Shapiro, B-rep SE: Simplicially Enhanced Boundary Representation, Proceedings of International Convention on Shapes and Solids, June 2004.
SAL 2003-1V. Ramaswamy and V. Shapiro, Combinatoral Laws for Physically Meaningful Design, ASME/ACM Journal of Computing and Information Science in Engineering, Vol. 4, No. 3, March 2004, pp 3-10.
  • Appeared as Paper DETC2003/DTM-48654, Proceedings of 15th International Conference on Design Theory and Methodology, ASME Design Technical Conferences, September 2-6, 2003 Chicago, Illinois. Best Paper Award
SAL 2002-6J. Chard, The ABC`s of an Interactive Physics System, Ph.D. Thesis, Mathematics and Computation in Engineering, Mechanical Engineering Department, University of Wisconsin, Madison, September 2002.
  • contact V. Shapiro for access
SAL 2002-5I. Tsukanov and M. Halli, Data Structure and Algorithms for Fast Automatic Differentiation, Technical Report, July 2002.
SAL 2002-4A. Biswas, I. Tsukanov and V. Shapiro, Heterogeneous Material Modeling with Distance Fields, Computer-Aided Geometric Design, Vol. 21, 2004, pp 215-242.
SAL 2002-3I. Tsukanov and V. Shapiro, The Architecture of SAGE - A Meshfree System Based on RFM, In Engineering with Computers, Vol. 18, No. 4, 2002, pp. 295-311.
SAL 2002-2S. Raghothama and V. Shapiro, Topological Framework for Part Families, ASME Transactions, Journal of Computing and Information Science in Engineering Vol. 2, December 2002, pp. 246-255.
  • a preliminary version appeared in - Proceedings of the Seventh ACM Symposium on Solid Modeling and Applications, Saarbrücken, Germany, June 2002.
SAL 2002-1I. Tsukanov, V. Shapiro, and S. Zhang, A Meshfree Method for Incompressible Fluid Dynamics Problems, International Journal for Numerical Methods in Engineering, Volume 58, Number 1, 2003, pp. 127-158.
SAL 2001-3A. Biswas and V. Shapiro, Approximate Distance Fields with Non-Vanishing Gradients, Graphical Models, Vol. 66, Issue 3, May 2004, pp 133-159.
SAL 2001-2V. Shapiro, Solid Modeling, In G. Farin, J. Hoschek, M.-S. Kim, eds, Handbook of Computer Aided Geometric Design, pages 473-518, Elsevier Science Publishers, 2001.
SAL 2001-1H. Ilies and V. Shapiro, A Class of Forms from Function: The Case of Parts Moving in Contact, Research in Engineering Design, Vol. 13, No. 3, 2002, pp. 157-166.
  • a preliminary version appeared as technical paper DETC2001/DTM-21704, Proceedings of DETC'01, ASME Design Theory and Methodology Conference, September 2001.
SAL 2000-5S. Raghothama, Models and Representations for Parametric Family of Parts, Ph.D. Thesis, Mechanical Engineering Department, University of Wisconsin, Madison, September 2000.
  • Contact V. Shapiro for access
SAL 2000-4I. Tsukanov and M. Hill, Fast Forward Automatic Differentiation Library (FADLIB), User Manual, December 2000.
SAL 2000-3H. Ilies, On Shaping Moving Mechanical Parts, Ph.D. Thesis, Mechanical Engineering Department, University of Wisconsin, Madison, June 2000.
  • Contact V. Shapiro for access.
SAL 2000-2H. Ilies and V. Shapiro, Methods and Apparatus for Shaping Moving Geometric Shapes, United States Patent no. 6,044,306, March 2000.
  • For licensing information, please contact Prof. V. Shapiro.
SAL 2000-1V.L. Rvachev, T.I. Sheiko, I. Tsukanov and V. Shapiro, Transfinite Interpolation Over Implicitly Defined Sets, Computer-Aided Geometric Design, Vol. 18, (2001), pp. 195-220
SAL 1999-3J. A. Chard and V. Shapiro, A Multivector Data Structure for Differential Forms and Equations, Mathematics and Computers in Simulation 54 (2000), pp. 33-64.
SAL 1999-2V.L. Rvachev, T.I. Sheiko, V. Shapiro, and I. Tsukanov, Completeness of RFM Solution Structures, Computational Mechanics 25 (2000), pp. 305-316.
SAL 1999-1H. Ilies and V. Shapiro, On Shaping with Motion, ASME Transactions, Journal of Mechanical Design, vol. 122, no. 4, December 2000, pp. 567-574.
SAL 1998-4S. Raghotha and V. Shapiro, Consistent Updateds in Dual Representation Systems, Computer-Aided Design, 32(8-9), Aug, 2000, pp: 463-477
  • A preliminary version of this paper appeared in - Proceedings of the Fifth ACM Symposium on Solid Modeling and Applications, Ann Arbor, MI, June 1999. Best Paper Award.
SAL 1998-3I. Tsukanov and V. Shapiro, Implicit Functions with Guaranteed Differential Properties, Proceedings of the Fifth ACM Symposium on Solid Modeling and Applications, Ann Arbor, MI, June 1999.
SAL 1998-2I. Tsukanov and V. Shapiro, Meshfree Simulation of Deforming Domains, Computer Aided Design 31 (1999), pp 459-471.
SAL 1998-1J. Chard, A Common Structure for Models of Distributed Phenomena, M.S. Thesis, Mechanical Engineering Department, University of Wisconsin, Madison, May 1998
  • Contact V. Shapiro for access
SAL 1997-4H. Ilies and V. Shapiro, The Dual of Sweep, Computer Aided Design, Volume 31, Number 3, March 1999, pages 185-201.
SAL 1997-3V. Shapiro, A Convex Deficiency Tree Algorithm for Curved Polygons, International Journal of Computational Geometry and Applications, Vol. 11, No. 2, 2001, pp 215-238.
SAL 1997-1S. Raghothama and V. Shapiro, Boundary Representation Deformation in Parametric Solid Modeling, ACM Transactions on Graphics, vol. 17, no. 4, Oct. 1998, pp 259-286.
SAL 1996-4V.L. Rvachev, T.I. Sheiko, V. Shapiro, and J.J Uicker, Implicit Function Modeling of Solidification in Metal Casting, ASME Transactions, Journal of Mechanical Design, Vol. 119, No. 4, December 1997, pp 466-473.
SAL 1996-3H. Ilies and V. Shapiro, UNSWEEP: Formulation and Computational Properties, Proceedings of the 4th ACM Symposium on Solid Modeling and Applications.
SAL 1996-2H. Ilies and V. Shapiro, An Approach to Systematic Part Design, Proceedings of the 5th IFIP WG5.2 Workshop on Geometric Modeling in CAD, May 19-23, 1996, Airlie, Virginia.
SAL 1996-1V. Shapiro, Well-Formed Set Representations of Solids, International Journal of Computational Geometry and Applications, Volume 9, Number 2, 1999, pages 125--150.
SAL 1995-2D. L. Vossler and V. Shapiro, What is a Parametric Family of Solids?, in Proceedings of the 3rd ACM/IEEE Symposium on Solid Modeling and Applications, Salt Lake City, Utah, May 17-19, 1995.
SAL 1995-1V. Shapiro, Maintenance of Geometric Representations Through Space Decompositions, International Journal of Computational Geometry and Applications, Vol. 6, No. 4, 1997, pp 383-418.
SAL 0000-7V. Shapiro, Real Functions for Representation of Rigid Solids, Computer-Aided Geometric Design, Vol. 11, No. 2, 1994.
SAL 0000-6R. S. Palmer & V. Shapiro, Chain Models of Physical Behavior for Engineering Analysis and Design, Research in Engineering Design, Vol. 5, No. 3, 1994.
  • Invited paper for the special issue Advances in Representations and Reasoning for Mechanical CAD.
SAL 0000-5V. Shapiro & D. L. Vossler, Separation for Boundary to CSG Conversion, ACM Transactions on Graphics, January 1993.
SAL 0000-4V. Shapiro & D. L. Vossler, Efficient CSG Representations of 2-Dimensional Solids, Transactions of ASME, Journal of Mechanical Design, Vol. 113, No. 3, pp. 292--305, September 1991.
SAL 0000-3V. Shapiro & D. L. Vossler, Construction and Optimization of CSG Representations, Computer Aided Design ``Beyond Solid Modelling``
SAL 0000-2V. Shapiro & H. Voelcker, On the Role of Geometry in Mechanical Design, Research in Engineering Design, Vol. 1, No. 1, pp 69-73, 1989.
SAL 0000-1V. Shapiro, Theory of R-functions and Applications: A Primer, Technical Report CPA88-3, Cornell University, November 1988.
Last Updated ( Friday, 28 March 2008 )
 
 

| Accessibility |
Copyright © 2007 The Board of Regents of the University of Wisconsin System. All rights reserved.

University of Wisconsin-Madison College of Engineering logo