Gross - 13
sense. It is not sufficient to compute the deformations of a shape
only, but other physical laws have to be introduced as well, like
for instance material properties, chemical reaction, flow fields
etc.
IV. It is clear, that one could think of combining both 2. and 3. to
accomplish a multiresolution physically-based modeling para
digm, which allows to compute the physics in a ”local level-of-
detail ” manner, just depending on the user’s needs.
V. This paradigm shift has strong implications onto the underlying
data structures necessary for consistent representations and for
fast interaction. At this point, object oriented paradigms in data
modeling should enable to maintain and to reuse existing ones
upon the addition of new features.
VI. Modeling was and still is one of the key issues in graphics and
in visualization. Photogrammetry naturally provides us with the
corresponding data sets, such as scene or object geometry. As a
consequence of the paradigm shifts in our area, it would be de
sirable and fruitful to have future sensor systems and measuring
devices, that allow to record all important physical parameters,
maybe immediately on a multiresolution basis.
6 References
[1] McCormick, B.; DeFanti, T.; Brown, M.: ’’Visualization in Scientific Computing”, ACM Computer
Graphics, Vol. 21, No.6, 1987
[2] Fankhauser, G.: ’’Physikalisch-basierte Oberflachenmodellierung mittels der finiten Elemente Me-
thode.” Diplom thesis, Computer Science Department, ETH-Ziirich, 1995
[3] Farin, G.: Curves and Surfaces in Computer Aided Geometric Design. 3. Edition, Academic Press,
1992
[4] Glassner, A.: ’’Maintaining Winged-edge Models”. In Arvo (Ed.): Graphics Gems II, Academic
Press, pp. 191-201, 1991
[5] Gross, M.H.: Visual Computing, Springer Publishing Company, 1994
[6] Gross, M. and Koch, R.: ’’Visualization of Multidimensional Shape and Texture Features in Laser
Range Data Using Complex-Valued Gabor Wavelets”, IEEE Transactions on Visualization and
Computer Graphics. Vol. 1, No. 1, pp. 1—17, 1995
[7] Gross, M.; Gatti, R.; Staadt, O.: ’’Multiresolution Surface Meshing”, to appear, Proceedings of the
IEEE Visualization 95, 1995
[8] Haralick, R.; Shapiro, L.: Computer and Robot Vision. Addison-Wesley Publishing Company, 1992
[9] Lotscher, S.: ’’Rechnergestiitztes Erkennen und Vermessen von digitalisierten Hohlladungsstrah-
len.” Diplom thesis, Computer Science Department, ETH-Ziirich, 1995
[10] Mallat, S.: ”A Theory of Multiresolution Signal Decomposition: The Wavelet Representation”.
IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 11, No. 7, pp. 674-693, 1989
[11] Staadt, O.: ’’Rekonstruktion von Isoflachen in Volumendaten mittels Wavelet-basierter Oc
trees”. Diplom thesis, Computer Science Department, TH-Darmstadt, 1995
[12] Terzopoulos, D.; Fleischer, K.: ’’Deformable Models”. The Visual Computer, Vol. 4, pp. 306-331,
1988
[13] Zienkiewicz, O; Taylor, R.: The Finite Element Method. 4. Edition, Vol. 2, London: McGraw-Hill,
1991
