# Geometry processing : intersections, contours, and cubatures

- Volume: 26, Issue: 1, page 137-147
- ISSN: 0764-583X

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topBarnhill, R. E.. "Geometry processing : intersections, contours, and cubatures." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 26.1 (1992): 137-147. <http://eudml.org/doc/193650>.

@article{Barnhill1992,

author = {Barnhill, R. E.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {research survey; geometry processing; curves; surfaces; volumes; intersections; contours; cubatures; geometric modelling; computer graphics; computer aided geometric design},

language = {eng},

number = {1},

pages = {137-147},

publisher = {Dunod},

title = {Geometry processing : intersections, contours, and cubatures},

url = {http://eudml.org/doc/193650},

volume = {26},

year = {1992},

}

TY - JOUR

AU - Barnhill, R. E.

TI - Geometry processing : intersections, contours, and cubatures

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 1992

PB - Dunod

VL - 26

IS - 1

SP - 137

EP - 147

LA - eng

KW - research survey; geometry processing; curves; surfaces; volumes; intersections; contours; cubatures; geometric modelling; computer graphics; computer aided geometric design

UR - http://eudml.org/doc/193650

ER -

## References

top- [1] R. E. BARNHILL and S. N. KERSEY (1990), A Marching Method for Surface/Surface Intersection, Comput. Aided Geometric Design, 7, pp. 257-280. Zbl0716.65013MR1074613
- [2] R. E. BARNHILL (1989), Computer Aided Geometric Design, Approximation Theory VI : Volume 1, C. K. Chui, L. L. Schumaker and J. D. Ward (eds.) pp. 33-52. Zbl0721.68094MR1090961
- [3] R. FAROUKI (1986), The Approximation of Non-degenerate Offset Surfaces, Comput. Aided Geom. Design, 3, pp. 15-43. Zbl0621.65003
- [4] B. R. PIPER (1987), Visuaily Smooth Interpolation with Triangular Bézier Patches, Geometric Modeling : Algorithms and New Trends, Gerald Farin (éd.), SIAM, pp. 221-233. MR936456
- [5] L. M. BRIEGER (1980), A Survey of Contouring Methods Technical Report, University of Utah, Department of Mathematics.
- [6] C. S. PETERSEN (1983), Contours of Three and Four Dimensional Surfaces, University of Utah, Department of Mathematics, Masters Thesis.
- [7] B. BLOOMQUIST (1990), Contouring Trivariate Surfaces, Arizona State University, Department of Computer Science and Engineering, Masters Thesis.
- [8] G. FARIN (1990), Curves and Surfaces for Computer Aided Geometric Design :A Practical Guide, Gerald Farin (ed.), Second Edition, Academic Press. Zbl0702.68004MR1058011
- [9] R. E. BARNHILL (1964), Numerical Contour Intégration, University of Wisconsin, U. S. Army Mathematics Research Center Report No. 519, October, pp. 1-81, Ph. D. Thesis.
- [10] R. E. BARNHILL and F. F. LITTLE (1984), Adaptive Triangular Cubatures, CAGD Report 80/3 and movie, Department of Mathematics, University of Utah, September 1980. Surfaces, Special issue of Rocky Mountain J. Math., R. E. Barnhill and G. M. Nielson, (eds.), January 1984, vol. 14, pp. 53-76. Zbl0555.65016MR736166
- [11] R. E. BARNHILL and S. H. WATSON (1989), Geometry Processing : Numerical Multiple Integration. Mathematics of Surfaces III, D. C. Handscomb, ed., Oxford University Press, pp. 49-69. Zbl0715.65014MR1042104

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