@article{M2AN_1992__26_1_51_0, author = {Hamann, B.}, title = {Modeling contours of trivariate data}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {51--75}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {26}, number = {1}, year = {1992}, mrnumber = {1155000}, zbl = {0748.65015}, language = {en}, url = {http://www.numdam.org/item/M2AN_1992__26_1_51_0/} }
TY - JOUR AU - Hamann, B. TI - Modeling contours of trivariate data JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1992 SP - 51 EP - 75 VL - 26 IS - 1 PB - AFCET - Gauthier-Villars PP - Paris UR - http://www.numdam.org/item/M2AN_1992__26_1_51_0/ LA - en ID - M2AN_1992__26_1_51_0 ER -
Hamann, B. Modeling contours of trivariate data. ESAIM: Modélisation mathématique et analyse numérique, Tome 26 (1992) no. 1, pp. 51-75. http://www.numdam.org/item/M2AN_1992__26_1_51_0/
[1] Scattered Data Interpolation in Three or More Variables, Mathematical Methods in Computer Aided Geometrie Design, T. Lyche, L. Schumaker (eds.), Academic Press, 1-33. | MR | Zbl
(1989),[2] Consurf I, Comput. Aided Design 6, 243-249.
(1974),[3] Consurf II, Comput. Aided Design 7, 237-242.
(1975),[4] Consurf III, Comput. Aided Design 9, 9-12.
(1977),[5] Smooth Interpolation in Triangles, J. Approx. Theory, 8, 114-128. | MR | Zbl
, , (1973),[6] Surfaces in Computer Aided Geometric Design : A Survey with New Results, Comput. Aided Geom. Design, Vol.2, N° 1-3, 1-17. | MR | Zbl
(1985),[7] Contouring Trivariate Surfaces, Masters Thesis, Arizona State University, Department of Computer Science.
(1990),[8] A Survey of Curve and Surface Methods in CAGD, Comput. Aided Geom. Design, Vol. 1, 1-60. | Zbl
, , (1984),[9] Computer Vision, Prentice Hall.
, (1982),[10] Gaussian Curvature and Shell Structures, Mathematics of Surfaces, J. Gregory (ed.), Clarendon Press, Oxford, 179-196.
(1986),[11] Triangulation of Scattered Data in 3D Space, Comput. Aided Design, Vol.20, N°5, 239-248. | Zbl
, , , (1988),[12] Smooth Piecewise Quadric Surfaces, Mathematical Methods in Computer Aided Geometric Design, T. Lyche, L. L. Schumaker (eds.), Academic Press, 181-193. | MR | Zbl
(1989),[13] Volume Rendering, Comput. Graphics, Vol.22, N 4, 65-74.
, , (1988),[14] Letters: Additional Reference to « Marching Cubes », Comput. Graphics, Vol. 22, N° 2.
(1988),[15] Smooth Interpolation to Scattered 3D Data, Surfaces in CAGD, R. E. Barnhill, W. Boehm (eds.), 43-63. | MR
(1983),[16] Triangular Bernstein-Bézier Patches, Comput. Aided Geom. Design, Vol.3, N° 2, 83-127. | MR
(1986),[17] Curves and Surfaces for Computer Aided Geometric Design, Academic Press, Inc. | MR | Zbl
(1988),[18] Computational Geometry for Design and Manufacture, Ellis Horwood. | MR | Zbl
, (1979),[19] Towards Animating Ray-Traced Volume Visualization, to appear in Visualization and Computer Animation Journal.
, , (1990),[20] Scattered Data Interpolation and Applications : A Tutorial and Survey, Geometric Modelling : Methods and Their Applications, H. Hagen, D. Roller (eds.), Springer.
, (1990),[21] Robotics, McGraw-Hill.
, , (1987),[22] Interactive Visualization of 3D Medical Data, Computer, Vol 22, N° 8, 46-51.
, , (1989),[23] Curvature Continuous Triangular Interpolants, Mathematical Methods in Computer Aided Geometric Design, T Lyche, L L Schumaker (eds.), Academic Press, 373-384. | MR | Zbl
, (1989),[24] Visualisierungstechniken zur Darstellung dreidimensionaler Datenmengen (Visualization Techniques for the Representation of Three-Drmensional Data Sets, in German), in CAD Computergraphik, Vol. 14, N° 2, Austria, 129-139.
(1990),[25] A Parametric Triangular Patch Based on Generalized Conics, in : Farin, G., ed., NURBS for Curve and Surface Design, SIAM, Philadelphia, 75-85. | MR | Zbl
, , (1990),[26] Grundlagen der Geometrischen Datenverarbeitung (German), Teubner, Stuttgart (F.R.G.). | MR | Zbl
, (1989),[27] Ray Tracing Volume Densities, Comput Graphics, Vol. 18, N° 3, 165-173.
, (1984),[28] Software for C1 Surface Interpolation, Mathematical Software III, J. R. Rice (ed.), Academic Press, 161-194. | MR | Zbl
(1977),[29] A Knot Removal Strategy for Scattered Data in R2, Mathematical Methods in Computer Aided Geometric Design, T Lyche, L L Schumaker (eds.), Academic Press, 419-426. | MR | Zbl
, (1989),[30] Display of Surfaces from Volume Data, IEEE Comput. Graphics Appl., Vol. 8, N° 3, 29-37.
(1988),[31] Volume Rendering, IEEE Comput Graphics Appl., Vol. 10, N° 2, 33-40.
(1990),[32] Acquisition and Representation of 2D and 3D Data from Turbulent Flows and Flames, Computer, Vol. 22, N° 8, 39-45.
, , (1989),[33] Marching Cubes : A High Resolution 3D Surface Construction Algorithm, Comput. Graphics, Vol. 21, N° 4, 163-169.
, (1987),[34] Volumetric Rendering, IEEE Comput. Graphics Appl., Vol. 10, N° 2, 24-32.
, , , (1990),[35] A Transfinite, Visually Continuous, Tnangular Interpolant, Geometric Modelling : Algorithms and New Trends, G Farm (ed.), SIAM Publications, Philadelphia, 235-246. | MR
(1987),[36] Techniques for the Interactive Visualization of Volumetric Data, Proceedings of the IEEE Conference Visualization '90, IEEE Computer Society Press, 45-50.
, , (1990),[37] Adaptive Contouring of a Trivariate Interpolant, Geometric Modeling : Algorithms and New Trends, G Farin (ed.), SIAM Publications, Philadelphia, 385-395. | MR
, , , (1987),[38] Visually Smooth Interpolation with Triangular Bézier Patches, Geometric Modeling : Algorithms and New Trends, G. Farin (ed.), SIAM Publications, Philadelphia 221-233. | MR
(1987),[39] Scattered Data Interpolation Based upon Generalized Minimum Norm Networks, submitted to Constructive Approximation Theory. | Zbl
(1989),[40] Computergestützte Darstellungen von Hyperflächen des R4 und deren Anwendungsmöglichkeiten im CAGD (German), CAD Computergraphik, Vol. 11, N° 4, 111-117.
(1988),[41] A Rendering Algorithm for Visualizing 3D Scalar Fields, Comput. Graphics, Vol. 22, N° 4, 51-55.
(1988),[42] Piecewise Algebraic Surface Patches, Comput. Aided Geom. Design, Vol. 2, N° 1-3, 53-59. | MR | Zbl
(1985),[43] Estimation of Gradients from Scattered Data, Rocky Mountain J. Math., Vol. 14, N° 1, 265-279. | MR | Zbl
(1984),[44] Surface Rendering, IEEE Comput. Graphics Appl., Vol. 10, N° 2, 41-53.
, , , , , (1990),[45] An N-Dimensional Clough-Tocher Element, Constr. Approx., Vol. 3, 99-110. | MR | Zbl
, (1987),[46] A Three-Dimensional Edge Operator, IEEE Trans. Pattern Recogn. Mach. Intelligence, Vol. PAMI-3, N° 3, 324-331. | Zbl
, (1981),