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Surface Interrogation Algorithms
September/October 1992 (vol. 12 no. 5)
pp. 53-60

Various visualization techniques that identify unwanted curvature regions, such as inflection points and dents, are reviewed. Orthotomics for the convexity test, isophotes for the geometric continuity test for the boundaries of a patchwork, reflection lines for the aesthetic quality of a surface, and local surfaces for the detection of undesired curvature situations on a surface are discussed.

1. H. Hagen, T. Schreiber, and E. Gschwind, "Methods for Surface Interrogation,"Proc. Visualization 90, IEEE Computer Society Press, Los Alamitos, Calif., 1990, pp. 187-193.
2. R. Hartwig and H. Nowacki, "Isolinien und Schnitte in Coonschen Flächen,"Geometrisches Modellieren, H. Nowacki, ed., Inf. Fachb. 65, Springer-Verlag, Berlin, 1982, pp. 329-394.
3. J. Hoschek, "Detecting Regions with Undesirable Curvature,"Computer Aided Geometric Design, Vol. 1, No. 3, Nov. 1984, pp. 183-192.
4. J. Hoschek, "Smoothing of Curves and Surfaces,"Computer Aided Geometric Design, Vol. 2, No. 1-3, special issue, 1985, pp. 97-105.
5. R. Klass, "Correction of Local Surface Irregularities Using Reflection Lines,"Computer-Aided Design, Vol. 12, No. 2, Mar. 1980, pp. 73-17.
6. T. Poeschl, "Detecting Surface Irregularities Using Isophotes,"Computer Aided Geometric Design, Vol. 1, No. 2, Nov. 1984, pp. 163-168.
7. H. Pottmann, "Eine Verfeinerung der Isophotenmethode zur Qualitätsanalyse von Freiformflächen,"CAD und Computergraphik, Vol. 4, No. 4, Sept. 1988, pp. 99-109.
8. H. Pottmann, H. Hagen, and A. Divivier, "Visualization Functions on a Surface,"J. Visualization and Animation, Vol. 2, No. 2, Apr./June 1991, pp. 52-58.
9. K. Strubecker,Differentialgeometrie III, De Gryter, Berlin, 1959.
10. J. Hoschek,Liniengeometrie, BI, Wissenschaffsverlag, Zurich, Switzerland, 1971.

Citation:
Hans Hagen, Stefanie Hahmann, Thomas Schreiber, Yasuo Nakajima, Burkard Wordenweber, Petra Hollemann-Grundstedt, "Surface Interrogation Algorithms," IEEE Computer Graphics and Applications, vol. 12, no. 5, pp. 53-60, Sept.-Oct. 1992, doi:10.1109/38.156013
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