B.A. (1983) Rice University
M.S. (1985) Cornell University
Ph.D. (1986) Cornell University
Keck Center for Computational and Structural Biology
Ken Kennedy Institute for Information Technology
Email: jwarren@rice.edu
Phone: 713-348-5728
Office: Duncan Hall, 3114
http://www.cs.rice.edu/~jwarren/
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Joe D. Warren
Professor of Computer Science
Computer graphics, computer gaming, geometric modeling, visualization
Joe Warren's research interests focus on the application of computers to geometric problems and are centered around the general problem of representing geometric shapes. His specific areas of interest include geometric modeling, or the construction and manipulation of data structures for representing geometric objects, and computational geometry, or using algorithms to solve geometric problems. He is particularly interested in algorithms for solving and manipulating systems of polynomial equations. His approach is to develop interesting mathematical methods for representing shape that can be used in practical applications. Topics he has worked on include modeling with piecewise algebraic surfaces, methods for finite-element mesh generation, properties of rational surfaces with base points, and visualization of multivariate data. Warren's current research focuses on two related topics: subdivision, a method for concisely representing shape, and wavelets, a method for building an associated hierarchy of shapes. He is particulaarly interested in extending the theory associated with both to handle irregular geometry.
One of the principal areas in which computing has changed the today's world is computer graphics and geometric modeling. In entertainment, computer-animated movies such at "Finding Nemo" and advanced 3D computer games such as "Halo 2" make heavy use of computer graphics. In medicine, computer graphics allows physicians to visualize and simulate disease processes and potential treatments in ways that were never available until now. In manufacturing, geometric modeling allows engineers to design and test goods without the need to build costly physical prototypes.
All of these advances are based on algorithms and data structures developed by computer scientist for representing, simulating and visualizing geometric objects. At the core of these advances is an exciting synthesis that arises from combination of new computational techniques with existing mathematical disciplines such as algebraic geometry and differential geometry. Professor Warren's research lies at exactly this boundary. His goal is to apply advanced mathematics to real world problems and develop new methods in computer graphics and geometric modeling for solving these problems.
Selected Publications
Articles
T. Ju and P. Liepa "A General Geometric Construction of Coordinates in a Convex Simplicial Polytope." (2007).(In Press)
T. Ju and S. Schaefer "A Unified, Integral Construction for Coordinates over Closed Curves." Computer-Aided Geometric Design (2007).(In Press)
Refereed Articles
J. Warren, R. Castillo , T. McPhail , R. Guerra , A. Garg , T. Guerrero "Interior Landmarks Improve Deformable Image Registration Spatial Accuracy in the Lung." International Journal of Radiation OncologyBiologyPhysics, 72 (2008): S452 - S452.(Published)
J. Warren, S. Schaefer "Exact Evaluation of Limits and Tangents for Non-polynomial Sub-division Schemes." Computer-Aided Geometric Design,, 25, No.8 (2008): 607-620.(Published)
T. Ju, J. Carson, C. Thaller, W. Chiu, G. Eichele, M. Bello, J. Warren "3D Volume Reconstruction of a Mouse Brain from 3D Volume Reconstruction of a Mouse Brain from Histological Sections using Warp Filtering." Journal of Neuroscience Methods.(In Press)
Theses
Sridhar Lavu, Master of Science. "Volume Visualization and Volume Painting of Large Data Sets." (2009).(Thesis or Dissertation Director)
Ioan Sucan, Master of Science. "Kinodyynamic Motion Planning for High-dimensional Physical Systems." (2008).(Committee Member)
Konstantinos Bekris, Doctor of Philosophy. "Informend Planning and Safe Distributed Replanning under Physical Constraints." (2008).(Committee Member)
Konstantinos Tsianos, Master of Science. "Replanning: A Powerful Planning Strategy for Systems with Differential Constraints." (2008).(Committee Member)
Andrew Ladd, Doctor of Philosophy. "Motion Planning for Physical Simulation." (2007).(Committee Member)
Ning Song, Doctor of Philosophy. "Mu-Bases and their Applications in Geometric Modeling." (2007).(Committee Member)
Scott Schaefer, Ph.D. "Methods for Surface Deformation using Volumetric Parameterization." (2006).(Thesis or Dissertation Director)
Travis McPhail, Masters. "Dynamic Gaming Language." (2006).(Thesis or Dissertation Director)
Ning Song, Master of Science. "A computational method for constructing Sylvester-style sparse resultants." (2005).(Committee Member)
Tao Ju, Doctor of Philosophy. "Building a 3D Atlas of the Mouse Brain." (2005).(Thesis or Dissertation Director)
Jan Hakenberg, Master of Science. "Smooth Subdivision for Mixed Volumetric Meshes." (2004).(Thesis or Dissertation Director)
Konstantinos Bekris, Master of Science. "Reactive Range-free Landmark Navigation without Scene Reconstruction." (2004).(Committee Member)
Dennis Lu, Master of Science. "Dr.C#: A Pedagogic IDE for C# Featuring a Real-Eval-Print Loop." (2003).(Committee Member)
Miguel Teodoro, Master of Science. "Molecular Conformational Sampling Using Collective Coordinate Expansive Spaces." (2003).(Committee Member)
Scott Schaefer, Master of Science. "A Factored, Interpolatory Subdivision Scheme for Surfaces of Revolution." (2003).(Thesis or Dissertation Director)
Tao Ju, Master of Science. "Convex Contouring of Volumetric Data." (2003).(Thesis or Dissertation Director)
Geraldine Morin, Doctor of Philosophy. "Analytic Functions in Computer Aided Geometic Design." (2001).(Committee Member)
Christopher Holleman, Master of Science. "Path Planning with Medial Axis Hints." (2000).(Committee Member)
Henrik Weimer, Doctoral. "Subdivision Schemes for Physical Problems." (2000).
Henrik Weimer, Doctor of Philosophy. "Subdivision Schemes for Physical Problems." (2000).(Thesis or Dissertation Director)
Ming Zhang, Doctoral. "Topics in Resultants and Implicitization." (2000).
Ming Zhang, Doctor of Philosophy. "Topics in Resultants and Implicitization." (2000).(Committee Member)
Ayman Habib, Doctor of Philosophy. "Three Approaches to Building Curves and Surfaces in Computer Aided Geometric Design." (1997).(Committee Member)
Mark Hall, Doctor of Philosophy. "Combining Particles and Waves for Fluid Animation." (1992).(Thesis or Dissertation Director)
Suresh Lodha, Doctor of Philosophy. "Surface Approximation By Low Degree Patches With Multiple Representations." (1992).(Thesis or Dissertation Director)
Geraldine Morin, "No Title."
Henrik Weimer, "No Title."
Ming Zhang, "No Title."
Scott Schaefer, "Advisor."
Tao Ju, "Advisor."
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