Michael Hofer

Lecturer

Michael Hofer

Address

Michael Hofer, Dr.
Geometric Modeling and Industrial Geometry
Vienna University of Technology
Wiedner Hauptstrasse 8-10/104
A-1040 Wien, Austria

Phone: +43 1 58801 10404 (Secr.)
Fax: +43 1 58801 11399
Email: hofer AT geometrie . tuwien . ac DOT at
Web: http://geometrie.tuwien.ac.at/hofer/

Teaching

Books

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H. Pottmann, A. Asperl, M. Hofer and A. Kilian: Architekturgeometrie. Bentley & Springer (2010), ISBN-13: 978-3211997659.

Shortend German translation by the authors of Architectural Geometry.

Architekturgeometrie wurde als Lehrbuch für Studenten der Architektur und des Industriedesigns geschrieben. In einer einfachen, auf eine Fülle von Abbildungen gestützten Darstellung werden Grundkenntnisse über geometrische Objekte, bis hin zu freien Formen, über deren Modellierung und digitale Bearbeitung vermittelt. Ebenso werden Querverbindungen zu wichtigen Fragen der aktuellen Forschung hergestellt. Die vorgestellten Konzepte werden mit der Mathematik so weit vernetzt, als es für den Einsatz von Skript-Methoden in parametrischer Modellierungs-Software notwendig erscheint. Das Buch ist auch als Nachschlagewerk für Architekten gedacht, für Bauingenieure und Industriedesigner als Quelle der Inspiration und für Wissenschafter die an Geometrieanwendungen für Architektur und Kunst interessiert sind.

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H. Pottmann, A. Asperl, M. Hofer and A. Kilian: Architectural Geometry. Bentley Institute Press (2007), 724 pages, 2200 figures in color, ISBN 978-1-934493-04-5.

This book has been written as a textbook for students of architecture or industrial design. It comprises material at all levels, from the basics of geometric modeling to the cutting edge of research. During the architectural journey through geometry, topics typically reserved for a mathematically well-trained audience are addressed in an easily understandable way. These include central concepts on freeform curves and surfaces, differential geometry, kinematic geometry, mesh processing, digital reconstruction, and optimization of shapes.

Editorial Work

H. Pottmann, A. Kilian, M. Hofer (eds): Proceedings of the First Advances in Architectural Geometry. Vienna, Austria, September 13-16, 2008. ISBN 978-3-902233-03-5. [PDF, 80MB]

Scientific Publications

2010

S. Flöry and M. Hofer. Surface Fitting and Registration of Point Clouds using Approximations of the Unsigned Distance Function. Computer Aided Geometric Design 27(1):60-77, 2010.

2009

B. Thuswaldner, S. Flöry, R. Kalasek, M. Hofer, Q.-X. Huang, H. Thür. Digital Anastylosis of the Octagon in Ephesos. Journal on Computing and Cultural Heritage (JOCCH), 2(1):1-27, 2009.

2008

S. Flöry and M. Hofer. Constrained curve fitting on manifolds. Computer-Aided Design 40(1):25-34, 2008.

2007

J. Wallner, H. Pottmann, and M. Hofer. Fair webs. The Visual Computer 23(1), 83-94, 2007.

Sketch at SIGGRAPH 2005: Fair curve networks in nonlinear geometries.

C.Y. Kao, M. Hofer, G. Sapiro, J. Stern, K. Rehm, and D.A. Rottenberg. A geometric method for automatic extraction of sulcal fundi. IEEE Trans. Medical Imaging Vol. 26(4):530-540, 2007. (Special issue on Computational Neuroanatomy). [IMA Nugget] [Slides]
M. Hofer. Constrained optimization with energy-minimizing curves and curve networks - a survey. In M. Sbert, editor, Proceedings 23rd Spring Conference on Computer Graphics, pages 31-39. Comenius University, Bratislava, 2007.

2006

Q.-X. Huang, S. Flöry, N. Gelfand, M. Hofer, and H. Pottmann: Reassembling Fractured Objects by Geometric Matching. ACM Transactions on Graphics 25(3), 569-578, 2006 (Proc. SIGGRAPH'06), [Data], [Slides], [Slides in German], [Fast Forward Video]

M. Hofer, G. Sapiro, and J. Wallner. Fair polyline networks for constrained smoothing of digital terrain elevation data. IEEE Transactions on Geoscience and Remote Sensing 44(10/2), 2983-2990, 2006.
C.Y. Kao, M. Hofer, G. Sapiro, J. Stern, and D.A. Rottenberg. A geometric method for automatic extraction of sulcal fundi. Proc. IEEE International Symposium on Biomedical Imaging, (electronic), 1168-1171, 2006.

2005

M. Hofer, B. Odehnal, H. Pottmann, T. Steiner, and J. Wallner. 3D shape recognition and reconstruction based on line element geometry. Proceedings of ICCV'05, Volume 2:1532-1538, 2005. [Slides]
H. Pottmann and M. Hofer. A variational approach to spline curves on surfaces. Computer Aided Geometric Design 22(7):693-709, 2005.
H. Pottmann, S. Leopoldseder, M. Hofer, T. Steiner, and W. Wang. Industrial Geometry: Recent Advances and Applications in CAD. Computer-Aided Design 37(7):751-766, 2005. (extended journal version)

2004

M. Hofer and H. Pottmann. Energy-Minimizing Splines in Manifolds. Transactions on Graphics 23(3):284-293, 2004. (Proceedings of ACM SIGGRAPH 2004) [Slides] [Poster]
H. Pottmann, S. Leopoldseder, M. Hofer, T. Steiner, and W. Wang. Industrial Geometry: Recent Advances and Applications in CAD. Computer-Aided Design Appl., 1:513-522, 2004. (short proceedings version)
H. Pottmann, M. Hofer, and B. Ravani. Variational motion design. In J. Lenarcic and C. Galletti, editors, On Advances in Robot Kinematics, pages 361--370. Kluwer 2004. [Slides]
M. Hofer, H. Pottmann, and B. Ravani. From curve design algorithms to the design of rigid body motions. The Visual Computer 20(5):279-297, 2004.
H. Pottmann, S. Leopoldseder, and M. Hofer. Registration without ICP. Computer Vision and Image Understanding 95(1):54-71, 2004.
H. Pottmann, T. Steiner, M. Hofer, C. Haider, and A. Hanbury. The isophotic metric and its application to feature sensitive morphology on surfaces. In T. Pajdla and J. Matas, editors, Computer Vision - ECCV 2004, Part IV, LNCS 3024, pages 560-572, Springer, 2004.
H. Pottmann, M. Hofer, B. Odehnal, and J. Wallner. Line Geometry for 3D shape understanding and reconstruction. In T. Pajdla and J. Matas, editors, Computer Vision - ECCV 2004, Part I, LNCS 3021, pages 297-309, Springer, 2004. [Poster]

2003

M. Hofer and H. Pottmann. Orientierung von Laserscanner-Punktwolken. Vermessung & Geoinformation 91(4):297-306, 2003.
M. Hofer, H. Pottmann, and B. Ravani. Geometric design of motions constrained by a contacting surface pair. Computer Aided Geometric Design 20(8-9):523-547, 2003.
H. Pottmann and M. Hofer. Geometry of the squared distance function to curves and surfaces. In: H.-C. Hege and K. Polthier, editors, Visualization and Mathematics III, pages 221-242, Springer, 2003.

2002

H. Pottmann, S. Leopoldseder, and M. Hofer. Simultaneous registration of multiple views of a 3D object. ISPRS Archives 34(3A):265-270, 2002.
H. Pottmann, S. Leopoldseder, and M. Hofer. Approximation with active B-spline curves and surfaces. In S. Coquillart, S.-M. Hu, and H.-Y. Shum, editors, 10th Pacific Conference on Computer Graphics and Applications, pages 8-25. IEEE Press, 2002.
M. Hofer, H. Pottmann, and B. Ravani. Subdivision algorithms for motion design based on homologous points. In: J. Lenarcic and F. Thomas, editors, Advances in Robot Kinematics, pages 235-244. Kluwer Academic Publ., 2002.
T.J. Murphy, J.J. White, B.J. Kline, E. Black, R. Goodman, M. Hofer. Using Mathematica with Multivariable Calculus. Proc. Amer. Soc. Engng. Educ. Annual Conference and Expo, Charlotte, NC, 1999.

Technical Reports

M. Hofer and H. Pottmann. Designing energy-minimizing rigid body motions in the presence of obstacles. Geometry Preprint 142, Vienna University of Technology, July 2005.

Ph.D. Thesis

M. Hofer. Variational motion design in the presence of obstacles, Ph.D. Dissertation, Vienna University of Technology, November 2004.
[Slides]

Master Thesis

M. Hofer. GO-Spline Interpolation: Weights and Rectangular Patches, Master Thesis, Graz University of Technology, June 2000.

Research Interests

My research focuses on the solution of current geometric problems in the areas of geometric modeling and processing, computer aided geometric design, computer graphics, computer vision, and imaging science.

Education

Professional Experience

Grants

Honors

Professional Activities

Selected Scientific Talks

(c) M. Hofer, February 8, 2010. http://www.geometrie.tuwien.ac.at/hofer/