An automatic procedure for reverse 3D shape synthesis is proposed. Shape acquisition of an existing object involving stereo-photogrammetry, triangulation, and 3D reconstruction is applied to obtain the point clouds. Subsequent parameterization of the acquired geometry using mathematical surfaces yields a compact set of parameters as shape variables to be used in diagnostics. The developed procedure and several specific computational geometry operators are applied with a hydro-pump casing whose complex shape is processed and related to the volute design and flow theory.

References

References
1.
Samareh
,
J. A.
, 1999, “A Survey Of Shape Parameterization Techniques,” CEAS/AIAA/ICASE/NASA Langley Forum on Aeroelasticity and Structural Dynamics, Report No. NASA/CP-1999-20 9136, pp. 333–343.
2.
Bohm
,
W.
,
Farin
,
G.
, and
Kahmann
,
J.
, 1984, “
A Survey of Curve and Surface Methods in CAGD
,”
Comput. Aided Geom. Des.
,
1
, pp.
1
60
.
3.
Farin
,
G.
, 1999,
Curves and Surfaces for Computer Aided Geometric Design
,
Academic Press
,
San Francisco, CA
.
4.
Sarkar
,
B.
, and
Menq
,
C. H.
, 1991, “
Smooth-Surface Approximation and Reverse Engineering
,”
Comput.-Aided Des.
,
23
(
9
), pp.
623
628
.
5.
Cyganek
,
B.
, and
Siebert
,
J. P.
, 2009,
An Introduction to 3D Computer Vision Techniques and Algorithms
,
John Wiley & Sons
,
Chichester, UK
.
7.
Eberly
,
D.
, “Least-Squares Fitting of Data With B-Spline Surfaces,” Geometric Tools, LLC, http://www.geometrictools.com/http://www.geometrictools.com/
8.
Ma
,
W.
, and
Kruth
,
J. P.
, 1998, “
NURBS Curve and Surface Fitting for Reverse Engineering
,”
Int. J. Adv. Manuf. Technol.
,
14
(
12
), pp.
918
927
.
9.
Reunanen
,
A.
, 2001, “
Experimental and Numerical Analysis of Different Volutes in Centrifugal Compressor
,” Ph.D. thesis, Lappeenranta University of Technology, Lapeenranta.
10.
Braembussche
,
R. A.
, 2006, “Flow and Loss Mechanism in Volutes of Centrifugal Pumps,” Report No. RTO-EN-AVT143.
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