Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

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

Tools
- Tools
+ Tools

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. ISSN 0957-4484.

Research output not available from this repository.

Request-a-Copy directly from author or use local Library Get it For Me service.

Request Changes to record.

Abstract

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)
T Technology
Q Science > QC Physics
Journal or Publication Title: NANOTECHNOLOGY
Publisher: IOP PUBLISHING LTD
ISSN: 0957-4484
Official Date: June 1998
Dates:
DateEvent
June 1998UNSPECIFIED
Volume: 9
Number: 2
Number of Pages: 5
Page Range: pp. 49-53
Publication Status: Published
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

Data sourced from Thomson Reuters' Web of Knowledge

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item
twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us