Local Interpolation for Tools Surface Description

2010 ◽  
Author(s):  
D. M. Neto ◽  
M. C. Oliveira ◽  
J. L. Alves ◽  
L. F. Menezes ◽  
F. Barlat ◽  
...  
Keyword(s):  
Local Interpolation ◽  
Surface Description

3-D Surface Description Using Curvature Properties

1987 ◽  
Author(s):  
T. J. Fan ◽  
G. Medioni ◽  
R. Nevatia
Keyword(s):  
Surface Description

Local interpolation of coseismic displacements measured by InSAR

2013 ◽  
Vol 23 ◽  
pp. 1-17 ◽  
Author(s):  
M. Yaseen ◽  
N.A.S. Hamm ◽  
T. Woldai ◽  
V.A. Tolpekin ◽  
A. Stein
Keyword(s):  
Local Interpolation

Inspection and Feature Extraction of Marine Propellers

1993 ◽  
Vol 9 (02) ◽  
pp. 88-106
Author(s):  
Richard A. Jinkerson ◽  
Stephen L. Abrams ◽  
Leonidas Bardis ◽  
Chryssostomos Chryssostomidis ◽  
Andre Cldment ◽  
...  
Keyword(s):  
Rigid Body ◽  
Nonlinear Differential Equations ◽  
Leading Edge ◽  
Propeller Blade ◽  
Offset Distance ◽  
Surface Description ◽  
Euclidean Motion ◽  
Rigid Body Transformation ◽  
Thickness Function ◽  
The Ideal

Localization is the process of determining the rigid-body translations and rotations that must be performed on the set of points measured on a manufactured surface to move those points into closest correspondence with the ideal design surface. In unconstrained localization all points have equal effect on the determination of the rigid-body transformation, while constrained localization allows a subset of the points to have stronger influence on the transformation. The measured points are physical points in space obtained by direct measurement of a manufactured marine propeller blade. The ideal design surface is the surface description of the propeller blade provided by the blade designer. Given that the measured blade is manufactured from the design surface description, the localization determines a Euclidean motion that brings the measured points of the manufactured surface as close as possible to the design surface. An additional option is to determine an offset distance, such that the Euclidean motion brings the measured points as close as possible to the offset of the design surface. For this optimization problem the offset distance is a seventh parameter that must be determined in addition to the six parameters of the Euclidean motion. After localization, the offset of the design surface that was determined can be used to extract the gross geometric features of the manufactured blade. These features have important hydrodynamic functions and include the camber surface, section thickness function, pitch, rake, skew, chord length, maximum thickness, maximum camber, and the leading-edge curve. The approximation of the camber surface, which is the basis of most of the remaining features, is an intricate problem relying on an extension of the concept of a Brooks ribbon. It requires the solution of a system of nonlinear differential equations and a complicated error evaluation scheme.

Smoothest Local Interpolation Formulas for Equally Spaced Data.

1981 ◽  
Author(s):  
T. N. E. Greville ◽  
Hubert Vaughan
Keyword(s):  
Local Interpolation

Logical atomism

2018 ◽  
Author(s):  
Alex Oliver
Keyword(s):  
Mutual Influence ◽  
Ordinary Language ◽  
Common Theme ◽  
Complex Sentences ◽  
Logical Atomism ◽  
The First World War ◽  
The World ◽  
Surface Description ◽  
The Common ◽  
First World

The name ‘logical atomism’ refers to a network of theses about the parts and structure of the world and the means by which language represents the world. Wittgenstein, in his Tractatus Logico-Philosophicus, expounds a version of logical atomism developed by him around the time of the First World War, as does Russell in works published contemporaneously. It is no accident that their work on logical atomism shares a common surface description since it resulted from their mutual influence at Cambridge. The common theme is that the meaning of our sentences is rooted in a primitive relation between simple expressions and their simple worldly bearers, the logical atoms. In a logically perfect language, atomic sentences describe configurations of these atoms, and complex sentences are combinations of the atomic sentences. But sentences of ordinary language may have a misleading surface form which is revealed as such by analysis. The common theme masks considerable differences of doctrine. In particular, there are differences in the nature of logical atoms and in the arguments for the existence of these atoms.

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