Computer-Aided Geometric Design (CAGD) Professors and Supervisors

Wenping WangView profile

Professor

Texas A&M UniversityUnited States

Wenping Wang is a Professor in the Department of Computer Science & Engineering at Texas A&M University, part of the College of Engineering. His research focuses on computer graphics, computer vision, geometric modeling, and visualization. He holds Fellowships from ACM and IEEE, and has received notable awards including the 2021 AsiaGraphics Outstanding Technical Contributions Award and the 2017 John Gregory Memorial Award. Wang's educational background includes a Ph.D. from the University of Alberta and M.Eng. and B.Sc. degrees from Shandong University. His work spans advancements in neural implicit surfaces, 3D reconstruction, and medical imaging applications such as orthodontic treatment prediction. He has authored numerous influential papers in top-tier conferences like SIGGRAPH and journals like ACM Transactions on Graphics. His research interests emphasize bridging geometric modeling with machine learning, particularly in neural rendering, surface parameterization, and medical visualization. Recent projects include developing frameworks for automatic tooth alignment and high-fidelity 3D geometry generation. Wang's contributions have significantly impacted both theoretical foundations and practical applications in computer graphics.

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Bin HanView profile

Professor

University of AlbertaCanada

Bin Han is a Professor of Mathematics at the Department of Mathematical and Statistical Sciences , University of Alberta, Canada. He holds a PhD (1998), MSc (1994), and BSc (1991) in Mathematics from the University of Alberta, Chinese Academy of Sciences, and Fudan University, respectively. Research Interests: Computational Mathematics: High-order finite difference methods, numerical solutions of PDEs (Helmholtz, elliptic interface, Burgers' equations), and Fourier/wavelet-based algorithms. Applied Harmonic Analysis: Framelets/wavelets with applications in image processing, data sciences, and deep learning, focusing on directional and quasi-tight properties. Wavelet Theory: Construction of wavelets on bounded intervals for boundary value problems, Gibbs phenomenon analysis, and stability of refinable functions. Computer Aided Geometric Design (CAGD): Subdivision schemes, spline approximation, and isogemetric analysis. Article Trends: His recent work (2021-2022) emphasizes high-order finite difference methods for Helmholtz and interface problems, directional tensor product complex tight framelets for image processing, and quasi-tight framelets with balancing orders for robustness and sparsity. Scientific Awards: NSERC Postdoctoral Fellowship (1999-2000) Advising & Grants: He has supervised PhD students Qiwei Feng, Michelle Michelle, Ran Lu, and Chenzhe Diao. His research is supported by NSERC, Westgrid, Compute Canada, and MITACS.

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Heiner GonskaView profile

Professor

University of Duisburg-EssenGermany

Heiner Gonska is a Professor at the University of Duisburg-Essen, specializing in approximation theory and geometric analysis. His work establishes quantitative estimates for linear operators and explores geometric PDEs. Research Focus: Develops refined moduli of smoothness for operator convergence, multivariate Bernstein operators, and applications in CAGD. Collaborates internationally on functional inequalities and geometric variational problems. Awards: Honorary Doctorate from Babeş-Bolyai University (1999) for contributions to approximation theory. Publications: Recent articles revisit fundamental concepts like the coarea formula and symmetric minimal surfaces, while advancing iterative approximation methods in higher dimensions.

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Georges-Pierre BonneauView profile

Professor

University of StrasbourgFrance

Georges-Pierre Bonneau is a Professor at University of Grenoble conducting research at Laboratoire Jean Kuntzmann (LJK) and INRIA in the MAVERICK research group. His academic career spans over three decades, beginning with his PhD from Universität Kaiserslautern in 1993, followed by positions as CNRS researcher (1994-2001), and Professor at University of Grenoble since 2001. Dr. Bonneau's research focuses on scientific visualization, computer-aided geometric design (CAGD), computer-aided design (CAD), and computational fabrication techniques. His work bridges theoretical geometric modeling with practical applications in structural monitoring, energy consumption visualization, and digital fabrication. He has developed innovative methods for surface reconstruction from sparse data, bending-active structures, and visualization of uncertain scalar data fields. His recent publications demonstrate a strong focus on immersive 3D modeling techniques, computational fabrication methods, and advanced visualization systems. Bonneau's research shows consistent evolution from foundational geometric modeling work in the 1990s-2000s toward contemporary applications in VR/AR interfaces, computational design of physical structures, and energy consumption visualization systems. Throughout his career, Bonneau has actively contributed to the academic community as conference organizer and program committee member for major venues including SPM, SMI, Eurographics, and IEEE Visualization conferences. He has supervised numerous PhD students whose work spans diverse applications of geometric modeling and visualization, with recent students focusing on surface creation from sparse strokes, bending-active structures, and structural monitoring systems. His former students have gone on to successful careers at institutions including AAC Clyde Space, Zurich Insurance, Pixminds, ISIR, and CEA.

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Maria Lucia SampoliView profile

Associate Professor

University of SienaItaly

Maria Lucia Sampoli is an Associate Professor in the Department of Information Engineering and Mathematics at the University of Siena, Italy. She holds a PhD in Computational Mathematics and Operational Research from the University of Milan and has been a faculty member at the University of Siena since 1999, advancing from Research Assistant to tenured Assistant Professor in 2002 and to Associate Professor in 2010. Her academic journey includes a postdoctoral fellowship at the Technical University of Darmstadt and a CNR Senior Fellowship. PhD in Computational Mathematics and Operational Research, University of Milan (1998) Laurea in Mathematics (Honors), University of Florence (1994) Her research focuses on Numerical Analysis , particularly in Computer Aided Geometric Design (CAGD) , Isogeometric Analysis (IGA) , Pythagorean Hodograph (PH) curves and surfaces , Boundary Element Methods , and constrained interpolation and approximation . Recently, she has explored mathematical aspects of deep learning , especially the theoretical foundations of Graph Neural Networks. Her work bridges pure mathematical theory with engineering and computational applications. The most recent publications highlight a consistent trend in geometric modeling and numerical methods, with increasing interdisciplinary reach into machine learning. Topics span from high-precision curve and surface design to advanced numerical techniques for PDEs and the mathematical analysis of neural networks. She has participated in and organized numerous international conferences such as SIAM CSE, IGA, and SMART, and has been involved in multiple research projects, some as coordinator. While specific scientific awards are not listed, her invited talks at major conferences reflect recognition in her field. Maria Lucia Sampoli supervises graduate research and teaches courses including Numerical Calculation and Numerical Modeling . She is actively involved in academic service, including conference organization and research project leadership. She maintains an open-door policy for student consultations and is accessible via email for appointments. She is affiliated with the SAILab (Siena Artificial Intelligence Lab), indicating institutional engagement with AI and computational intelligence research.

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Thomas HendersonView profile

Professor

University of UtahUnited States

Thomas Henderson is a Professor of Computer Science at the University of Utah, specializing in robotics, artificial intelligence, and computer vision. His work emphasizes multisensor data fusion, autonomous navigation, and industrial automation. He has contributed to foundational algorithms in constraint satisfaction and robotic manipulation. Research interests include 3D object representation, sensor integration, and system architecture design for industrial applications. Notable contributions span wireless sensor networks, neural controller evolution for mobile robots, and safety-critical simulations of fire/explosion scenarios. Collaborations include projects with Nanyang Technological University and industry partners in manufacturing automation. His publications (over 200 cited works) demonstrate interdisciplinary impact across robotics, computer vision, and AI. Current focus areas include strategic conflict management for unmanned aircraft systems (UAS) and resilient networked robotics solutions.

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Philippos Azariadis TopaloglouView profile

Professor

University of West AtticaGreece

Philippos Azariadis Topaloglou is a Professor at the Department of Industrial Design and Production Engineering , School of Engineering , University of West Attica since June 1, 2022. Previously, he served as Assistant Professor, Associate Professor, and Professor at the University of the Aegean (2002–2022). His academic background includes a Mathematics degree (1994) and a PhD in Mechanical and Aeronautical Engineering (1999) from the University of Patras . Research focuses on Mathematical Methods for Designing Industrial Products Expertise in Industry 4.0 , Bioengineering , and Geometric Modeling His work has industrial applications in the footwear , apparel , and electronics sectors. He has participated in European and National R&D projects as researcher and coordinator, and is active in peer-review for 40+ international journals , 140+ conferences , and funding bodies. He has been a member of editorial boards for 6 journals and program committees for 100+ conferences.

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Michael S. FloaterView profile

Professor

University of OsloNorway

Professor Michael S. Floater is affiliated with the Department of Mathematics at the University of Oslo , specializing in Differential Equations and Computational Mathematics . His research spans approximation theory, numerical analysis, and geometric modeling, with a focus on polynomial and spline-based data approximation, recursive subdivision techniques, and optimal function spaces. Fields of Interest: Approximation Theory, Numerical Analysis, Geometric Modelling, Computational Mathematics, Differential Equations Recent publications address B-spline properties, supersmoothness in Alfeld splits, and advanced polynomial interpolation methods. His work often intersects with applications in computer-aided geometric design (CAGD) and numerical solutions to partial differential equations. He serves on the editorial boards of Computer Aided Geometric Design (CAGD) and BIT Numerical Mathematics , and has supervised technical reports and collaborative projects in computational methods.

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Carlotta GiannelliView profile

Associate Professor

University of FlorenceItaly

Carlotta Giannelli is an Associate Professor at the University of Florence, within the Department of Mathematics and Computer Science (DIMAI) and the Florence Center for Data Science (FDS). She holds a Ph.D. in Computer Science and Applications (2010) and a Laurea in Computer Science (2006), both from the University of Florence. Her research focuses on computational geometry, isogeometric analysis, and spline approximation, with applications in numerical methods and geometric modeling. Education: Ph.D. in Computer Science and Applications (2010), University of Florence; Laurea in Computer Science (2006), University of Florence. Research Interests: Giannelli specializes in adaptive isogeometric methods, hierarchical splines, and rotation-minimizing frames. She has contributed to advancements in parameterization for computational domains, fault detection in scattered data, and applications in additive manufacturing. Her work bridges theoretical foundations with industrial applications, such as turbine blade design and structural biology analysis. Publications: Giannelli has authored numerous articles on topics like hierarchical B-splines, THB-splines, and Pythagorean-hodograph curves. Her recent work emphasizes adaptive refinement strategies and numerical integration techniques. Scientific Awards: Marie Curie Intra-European Fellowship (2011–2013), Marie Curie Actions (2013), Marie Curie Initial Training Network (2010). Teaching: Courses include Numerical Methods for Graphics (Master's level) and Computational Numerical Methods (Undergraduate/PhD levels). Grants: PI of RTD-UNIFI (2019–2020) and DREAMS (2014–2018), funded by MIUR. Co-organizer of conferences like SIAM GD 2023 and GMP 2020. Labs/Teams: Active in DIMAI and the Florence Center for Data Science, collaborating on projects like SUNRISE and parameterization for isogeometric analysis.

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Zbyněk ŠÍRView profile

Associate Professor

Charles UniversityCzech

Zbyněk ŠÍR is an Associate Professor at the Mathematical Institute within the Faculty of Mathematics and Physics at Charles University in Prague . He specializes in Computer-Aided Geometric Design (CAGD) , Differential Geometry , and the History of Geometry , with a focus on Pythagorean Hodograph curves and their applications in geometric modeling. Education: 1989: Graduated from Gymnázium J. K. Tyla, Hradec Králové 1993: DEA (Diplôme d'Études Approfondies) in Algebra and Geometry, University Pierre et Marie Curie (Paris VI) 1995: Master's in Mathematics (Riemannian Geometry, Representation Theory), Charles University 2002: PhD in Mathematics (History of French Geometry), Charles University & Université Pierre et Marie Curie 2012: Habilitation in Mathematics (Geometry and Topology), Charles University His research spans theoretical and applied geometry, including Pythagorean Hodograph curves , rational curves , and historical mathematical texts . Recent work focuses on rotation-minimizing motions , framing motions , and complex quaternions for minimal surfaces. Collaborations with researchers like Carlotta Giannelli, Lucia Sacco, and Bert Jüttler highlight interdisciplinary applications in robotics, aerospace, and computational geometry. ŠÍR teaches courses in Geometric Modeling and Mathematical Education , emphasizing the use of tools like Mathematica for visualizing curves, surfaces, and geometric transformations. His teaching integrates theoretical concepts (e.g., Frenet frames, projective geometry) with practical applications (e.g., CNC manufacturing, 3D reconstruction).

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Nelly VillamizarView profile

Associate Professor

Swansea UniversityUnited Kingdom

Dr. Nelly Villamizar is an Associate Professor in the Department of Mathematics at Swansea University, UK. She specializes in Applied Algebraic Geometry and Commutative Algebra, with applications in Geometric Modeling and Computer-Aided Geometric Design (CAGD). Her work bridges abstract algebraic theories with practical computational methods for geometric problems. Previously, she served as a Postdoctoral Researcher at RICAM (Linz, Austria) from 2013 to 2017. Teaching Responsibilities include advanced modules such as MA-233 Projective Geometry MA-231 Advanced Geometry (covering conic sections and non-Euclidean geometry) MA-312 Higher Algebra (module theory and category theory) MA-212 Groups and Rings Research interests focus on spline approximation and algebraic spline geometry, with ongoing contributions to geometric design methodologies. She is actively involved in postgraduate supervision and maintains an ORCID profile (https://orcid.org/0000-0002-8741-7225).

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Juan Luis Monterde Garcia-PozueloView profile

Professor

University of ValenciaSpain

Juan Luis Monterde Garcia-Pozuelo is a Professor in the Department of Mathematics at the Faculty of Mathematics, Universitat de València. His research is centered on differential geometry, geometric modeling, and the application of partial differential equations in surface design. He is an active member of the GEOSING research group, focusing on singularities and generic geometry. PhD, Universitat de València (1988) His primary research interests include differential geometry, geometric modeling, computer-aided geometric design (CAGD), global analysis, numerical analysis, and supergeometry. He has made significant contributions to the theory and application of Bézier surfaces, harmonic and biharmonic surface generation, and special space curves such as Salkowski and helical curves. His work bridges pure mathematics and computational applications, particularly in the context of surface modeling using PDEs. The most recent articles highlight a sustained focus on geometric modeling through partial differential equations, with particular attention to Bézier surfaces under harmonic, biharmonic, and isotropic conditions. There is a strong emphasis on boundary-based surface generation, control net computation, and the geometric properties of special curves. His work spans both theoretical foundations in differential geometry and practical algorithms for computer-aided design. There are no scientific awards explicitly mentioned in the provided texts. Juan Luis Monterde has collaborated extensively with researchers such as José V. Beltrán, José Antonio Vallejo, Jaime Muñoz Masqué, Oscar Adolfo Sánchez Valenzuela, Hassan Ugail, and David Rochera. His work has been supported through academic research grants typical in the Spanish and European systems, though specific grants are not listed. He has advised students in mathematics and geometric modeling, though specific names are not provided in the current data. He is affiliated with the GEOSING research group (Singularities, Generic Geometry and Applications) at the Universitat de València, which investigates geometric structures, singularities, and their applications in mathematical modeling and theoretical physics.

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Martin-Pierre SchmidtView profile

Lecturer

National Institute of Applied Sciences of RouenFrance

Martin-Pierre Schmidt is a Lecturer at the National Institute of Applied Sciences (INSA) Rouen, affiliated with the Department of Mathematical Engineering. His research focuses on topological/multi-physics optimization, approximation theory, and applications in computer-aided geometric design (CAGD). He completed his PhD in March 2020 under the supervision of Christian Gout, with co-supervisors David Bonner and Auxkin Ortuzar from Dassault Systèmes, funded by Dassault Systèmes. His work integrates machine learning and data science into imaging and design processes. He teaches in the GM5 program at INSA Rouen, emphasizing machine learning and data approximation techniques. His research team is part of the Numerical Analysis, Imaging and Approximation group. Notable contributions include interactive topology optimization tools, biomimetic microstructure design, and robust 3D shape detection algorithms. His thesis defense in 2020 involved a jury of international experts in mechanical engineering and computational design. Key collaborations include Dassault Systèmes, with applications in CAD model optimization and manufacturing process design. His work bridges theoretical optimization methods with practical industrial applications in additive manufacturing and structural engineering.

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Nira DynView profile

Professor

University of Sorbonne Paris NordFrance

Nira Dyn is a Professor of Applied Mathematics at Tel Aviv University's School of Mathematics, where she has established herself as a leading researcher in geometric modeling and approximation theory. Her academic career spans decades of contributions to subdivision methods and computational mathematics, with a consistent focus on both theoretical foundations and practical applications in computer graphics and image processing. Research Interests Professor Dyn's primary research areas include Geometric Modeling , Subdivision methods , and Multivariate approximation theory , with significant contributions to Computer-Aided Geometric Design (CAGD) and Image Compression. Her current work centers on Nonlinear subdivision schemes and the Approximation of set-valued functions , representing cutting-edge extensions of classical approximation theory to handle complex geometric structures and uncertain data. These interests form a cohesive research program that bridges pure mathematical analysis with computational applications, particularly in handling geometric data through innovative subdivision techniques. Publication Trends Analysis of her recent publications reveals a strong emphasis on advancing subdivision methodologies beyond linear frameworks, with increasing focus on nonlinear schemes capable of handling complex geometries and set-valued data. Her work demonstrates consistent progression from foundational subdivision theory toward practical applications in image compression and geometric modeling, with notable contributions to metric-based approximation techniques. The publications showcase interdisciplinary reach spanning mathematics, computer science, and engineering applications, while maintaining rigorous mathematical foundations in approximation theory. Professional Activities While specific advising relationships and grant information aren't detailed in the available materials, Professor Dyn's extensive publication record in top-tier journals indicates active research leadership. Her collaborations span multiple institutions and disciplines, reflecting the interdisciplinary nature of modern geometric modeling research. The absence of explicit laboratory or team information suggests her work may be primarily theoretical or conducted through collaborative networks rather than a dedicated physical research space.

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