This paper presents an image processing technique in order to predict the shape of a levitated aspherical droplet. The technique is of great importance to containerless materials processing. A majority of the electromagnetic levitation techniques utilizes two cameras at right angles to observe both transversal and frontal views. This allows obtaining two images of the droplet at instant time. In many cases, the portion of the frontal image is missing due to the heating coil. The newly developed technique allows restoration of the missing portion of the image information. The through image can be reconstructed by combining the recovered shapes. A special computer program is generated to simulate a normalized volume of the droplet.
1.
Bayazitoglu
, Y.
, Sathuvalli
, B.
, Suryanarayana
, P. V. R.
, and Mitchell
, G. F.
, 1996, “Determination of Surface Tension from the Shape Oscillations of an Electromagnetically Levitated Droplet
,” IEEE Trans. Magn.
0018-9464, 8
(2
), pp. 370
–383
.2.
Bratz
, A.
, and Egry
, I.
, 1995, “Surface Oscillations of Electromagnetically Levitated Viscous Metal Droplet
,” J. Fluid Mech.
0022-1120, 298
, pp. 341
–359
.3.
Busse
, F. H.
, 1984, “Oscillations of a Rotating Liquid Drop
,” J. Fluid Mech.
0022-1120, 142
, pp. 1
–8
.4.
Cummings
, D. L.
, and Blackburn
, D. A.
, 1989, “Oscillations of Magnetically Levitated Aspherical Droplets
,” J. Fluid Mech.
0022-1120, 224
, pp. 395
–416
.5.
Chen
, S. F.
, and Overfelt
, R. A.
, 1997, “Effects of Sample Size on Surface Tension Measurements of Nickel in Reduced Gravity Parabolic Flight
,” Proceedings 13th, Symposium on Thermophysical Properties
, Boulder, CO, U.S.A.6.
Suryanarayana
, P. V. R.
, and Bayazitoglu
, Y.
, 1990, “Effect of Static Deformation and External Forces on the Oscillations of Levitated Droplets
,” Phys. Fluids A
0899-8213, 5
, pp. 967
–977
.7.
Bakhtiyarov
, S. I.
, and Overfelt
, R. A.
, 2003, “Electromagnetic Levitation: Theory, Experiments, Application
,” Recent Research Developments in Materials Science
, 4
, pp. 81
–123
.8.
Guo
, B.
, 1997, “Surface Reconstruction: from Points to Splines
,” Comput.-Aided Des.
0010-4485, 29
(4
), pp. 269
–277
.9.
Rogers
, D. F.
, and Fog
, N. G.
, 1989, “Constrained B-Spline Curve and Surface Fitting
,” Comput.-Aided Des.
0010-4485, 21
(10
), pp. 87
–96
.10.
Chivate
, P.
, and Jablokov
, A. G.
, 1993, “Solid-Model Generation from Measured Point Data
,” Comput.-Aided Des.
0010-4485, 25
(9
), pp. 587
–600
.11.
Bradley
, C.
, Vickers
, G. W.
, and Milroy
, M.
, 1994, “Reverse Engineering of Quadratic Surfaces Employing Three-Dimensional Laser Scanning
,” Proc. Inst. Mech. Eng.
0020-3483, 208
, pp. 21
–28
.12.
Horn
, B. K. P.
, 1987, “Obtaining shape from shading information
,” in The Psychology of Computer Vision
, P. H.
Winston
, ed., McGraw-Hill
, New York, pp. 115
–155
.13.
Kimmel
, R.
, 1995, “Tracking Level Sets by Level Sets: A Method for Solving the Shape from Shading Problem
,” Comput. Vis. Image Underst.
1077-3142, 62
(2
), pp. 47
–58
.14.
Graham
, R. L.
, 1972, “An Efficient Algorithm for Determining the Convex Hull of a Finite Planar Set
,” Information Processing Letters
, 1
, pp. 132
–133
.15.
Preparata
, F. P.
, and Shamos
, M. I.
, 1991, Computational Geometry: An Introduction
, Springer Verlag
, Berlin.16.
Preparata
, F. P.
, and Hong
, S. J. S.
, 1977, “Convex Hulls of Finite Sets of Points in Two and Three Dimensions
,” CACM
, 20
(2
), pp. 87
–93
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