Reconstruction of the surface f(x, y) when only partial derivative/partial derivative xf(x, y) and partial derivative/partial derivative yf(x, y) are known
UNSPECIFIED (1998) Reconstruction of the surface f(x, y) when only partial derivative/partial derivative xf(x, y) and partial derivative/partial derivative yf(x, y) are known. In: 5th Joint Tokyo/Warwick Biennial Nanotechnology Symposium, SCI UNIV TOKYO, NODA CAMPUS, TOKYO, JAPAN, SEP 03-05, 1997. Published in: NANOTECHNOLOGY, 9 (2). pp. 49-53.Full text not available from this repository.
This is an investigation into the reconstruction of three-dimensional surfaces f(x, y) when only the first derivatives, or slopes, in the x- and y-directions, respectively partial derivative/partial derivative xf(x, y) and partial derivative/partial derivative yf(x, y), are known at sampling points (x, y). The algorithms are based upon Taylor's series expansion of a function, and a simple phase corrected low-pass filter obtained by the Fourier coefficient filter design and an appropriate window. These algorithms produce essentially surface profiles. Using only Taylor's series expansion results in a phase-corrected algorithm that can reconstruct surface profiles successfully as long as the minimum surface wavelength is longer than 10 sampling intervals. When shorter surface wavelengths occur a low-pass filter has to be introduced. The influence of noise is also investigated. It is shown that by applying the surface profile reconstruction algorithm in the forward and reverse directions, one can obtain an estimate of the overall influence of noise. This enables the user to accept or reject a result.
|Item Type:||Conference Item (UNSPECIFIED)|
|Subjects:||T Technology > TA Engineering (General). Civil engineering (General)
Q Science > QC Physics
|Journal or Publication Title:||NANOTECHNOLOGY|
|Publisher:||IOP PUBLISHING LTD|
|Number of Pages:||5|
|Page Range:||pp. 49-53|
|Title of Event:||5th Joint Tokyo/Warwick Biennial Nanotechnology Symposium|
|Location of Event:||SCI UNIV TOKYO, NODA CAMPUS, TOKYO, JAPAN|
|Date(s) of Event:||SEP 03-05, 1997|
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