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| Kapitel
1: |
1.1
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- Course on Discrete Differential Geometry, ACM SIGGRAPH 2005, Course Notes
Chapters 1-3. (pdf)
- E. Grinspun, A. Secord: Introduction to discrete
differential geometry: The geometry of plane curves.
- P.Schröder: What can we measure?
- J.M. Sullivan: Curvature Measures for Discrete
Surfaces.
- J.-L. Maltret, M. Daniel: Discrete curvatures and
applications: a survey. Interner report LSIS, Marseille, France, 2002. (pdf)
- M. Meyer, M. Desbrun, P. Schröder, A.H. Barr:
Discrete differential-geometry operators for triangulated 2-manifolds. VisMath 2002. (pdf)
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1.2
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- H. Hoppe,
T.D. DeRose,
T. Duchamp, J. McDonald, and W. Stuetzel: Surface
reconstruction from unorganized points. ACM SIGGRAPH 1992,
71-78, 1992. (pdf)
- H. Hoppe,
T.D. DeRose,
T. Duchamp, J. McDonald, and W. Stuetzel: Mesh
optimization. ACM SIGGRAPH 1993, 19-26, 1993. (pdf)
- H. Hoppe,
T. DeRose,
T. Duchamp, H. Jin, J. McDonald, and W. Stuetzel:
Piecewise smooth surface reconstruction. ACM SIGGRAPH 1994,
295-302, 1994. (pdf)
- H.
Edelsbrunner, E.P. Mücke: Three-Dimensional Alpha Shapes. ACM
Trans. on Graphics, 13(1): 43-72, 1994. (pdf)
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1.3 |
- L. Kobbelt, S. Campagna, H.-P. Seidel: A General
Framework for Mesh Decimation, Proceedings
of Graphics Interface, 1998.
(genframe.pdf)
- M. Garland, P.S. Heckbert: Surface Simplification
using Quadratic Error Metrics, ACM
SIGGRAPH 1997. (quaderrmet.pdf)
- M. Garland, P.S. Heckbert: Survey of Polygonal
Surface Simplification Algorithms, ACM
SIGGRAPH 1997, Course Notes. (simp.pdf)
- P. Cignoni, C. Montani, R. Scopigno: A Comparison of
Mesh Simplification Algorithms. Computers
& Graphics, 22(1): 33-54,
1998. (compar.pdf)
- O.M. von Kaick, H. Pedrini: A Comparative Evaluation
of Metrics for Fast Mesh Simplification. Submitted to Computer Graphics
Forum, 2005. (commetr.pdf)
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1.4
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- Baumgarten: Winged edge data structure. (www)
- Botsch, Steinberg, Bischoff, Kobbelt: OpenMesh - A
generic and efficient polygon mesh data structure. OpenSG
2002. (pdf)
- H. Hoppe:
Progressive meshes. ACM SIGGRAPH '96, 99-108, 1996. (pdf)
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| Kapitel
2: |
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- H.
Prautzsch, W.
Boehm, M. Paluszny: Bézier and B-Spline Techniques,
Springer-Verlag,
2002. Kapitel 17.
- H.
Prautzsch, W.
Boehm: Box Splines. In: The Handbook of Computer Aided Geometric
Design, Farin, Hoschek, Kim (eds.), North-Holland, 2002. (pdf)
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| Kapitel 3: |
3.1 |
- [SDS] E.J.
Stollnitz, T.D. DeRose, D.H. Salesin: Wavelets for Computer Graphics,
Morgan Kaufmann Publishers, 1996. Kapitel 2
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3.2
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3.3
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3.4
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| Kapitel
1: |
1.1
|
- M. Desbrun, E. Kanso, Y. Tong: Discrete Differntial
Forms for Computational Modeling. ACM
SIGGRAPH 2005, Course Notes
Chapter 7. (pdf)
- S. Elcott, P. Schröder: Building Your Own DEC at
Home. ACM SIGGRAPH 2005,
Course Notes Chapter 8. (pdf)
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1.2
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- W.E. Lorensen, H.E. Cline: Marching
Cubes: A High Resolution 3D Surface Construction Algorithm. Computer
Graphics, 21(4): 163-169, 1987. (pdf)
- M. Teichmann, M. Capps: Surface Reconstruction with
Anisotropic Density-Scaled Alphs Shapes. In: Proccedings of IEEE
Visualization, 67-72, 1998. (pdf)
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1.3
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- M. Garland, P.S. Heckbert: Fast Polygonal
Approximatin of Terrains and Height Fields. Technical Report
CMU-CS-95-181, Carneggie Mellon University, 1995. (scape.pdf)
- R. Schätzle, H. Hagen, J.C. Barnes, B. Hamann,
K.I. Joy: Data-Dependent Triangulation in the Plane with Adaptive Knot
Placement. Geometric Modelling,
2001, 309-321. (datadep.pdf)
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1.4
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- Khodakovsky, Alliez, Desbrun, Schröder: Near
optimal connectivity encoding of 2-manifolds. ACM SIGGRAPH 2002. (pdf)
- Kim, Lee: Truly selective refinement of progressive
meshes. Graphics Interface,
2001. (pdf)
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Kapitel 2:
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- R.-Q. Jia: Linear independence of translates of a box
spline, J. of Approx. Theory,
40: 158-160, 1983.
- R.-Q. Jia: Local linear independence of translates of
a box spline, Constr. Approx.,
1: 175-182, 1985.
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Kapitel 3:
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- W.
Sweldens, P. Schröder: Buildung your own wavelets at home, ACM
SIGGRAPH 1996. (pdf)
- S. Mallat: A theory for multiresolution signal
decomposition: The wavelet representation, IEEE Trans. in Pattern
Analysis and Machine Intelligence, 11(7): 674-693, 1989. (pdf)
- M. Lounsbery, T.D. DeRose, J. Warren: Multiresolution
analysis of surfaces of arbitrary topological type. ACM Trans. on
Graphics, 16(1): 34-73, 1997. (pdf)
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