"DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere" - Information and Links:

DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere - Info and Reading Options

"DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere" and the language of the book is English.


“DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere” Metadata:

  • Title: ➤  DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere
  • Author: ➤  
  • Language: English

Edition Identifiers:

  • Internet Archive ID: DTIC_ADA1041780

AI-generated Review of “DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere”:


"DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere" Description:

The Internet Archive:

This report presents some numerical methods for estimating spherical harmonic coefficients from data sampled on the sphere. The data may be given in the form of area means or of point values, and it may be free from errors or affected by measurement 'noise'. The case discussed to greatest length is that of complete, global data sets on regular grids (i.e., lines of latitude and longitude, the latter, at least, separated by constant interval); the case where data are sparsely and irregularly distributed is also considered in some detail. The first section presents some basic properties of spherical harmonics, stressing their relationship to two-dimensional Fourier series. Algorithms for the evaluation of the harmonic coefficients by numerical quadratures are given here, and it is shown that the number of operations is the order of N cubed for equal angular grids, where N is the number of lines of latitude, or 'Nyquist frequency', of the grid. The second section introduces a quadratic measure for the error in the estimation of the coefficients by linear techniques. This is the error measure of least squares collocation, which is a method that can be used for harmonic analysis. Efficient algorithms for implementing collocation on the whole sphere are described. a formal relationship between collocation and least squares adjustment is used to obtain an alternative form of the collocation algorithm that is likely to be stable with dense data sets and, with a minor modification, can be used to implement least squares adjustment as well. The basic principle is that for regular grids the variance-convariance matrix of the data consists of Toeplitz-circulant blocks, so it can be both set up and inverted very efficiently.

Read “DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere”:

Read “DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere” by choosing from the options below.

Available Downloads for “DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere”:

"DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere" is available for download from The Internet Archive in "texts" format, the size of the file-s is: 97.57 Mbs, and the file-s went public at Mon Apr 13 2020.

Legal and Safety Notes

Copyright Disclaimer and Liability Limitation:

A. Automated Content Display
The creation of this page is fully automated. All data, including text, images, and links, is displayed exactly as received from its original source, without any modification, alteration, or verification. We do not claim ownership of, nor assume any responsibility for, the accuracy or legality of this content.

B. Liability Disclaimer for External Content
The files provided below are solely the responsibility of their respective originators. We disclaim any and all liability, whether direct or indirect, for the content, accuracy, legality, or any other aspect of these files. By using this website, you acknowledge that we have no control over, nor endorse, the content hosted by external sources.

C. Inquiries and Disputes
For any inquiries, concerns, or issues related to the content displayed, including potential copyright claims, please contact the original source or provider of the files directly. We are not responsible for resolving any content-related disputes or claims of intellectual property infringement.

D. No Copyright Ownership
We do not claim ownership of any intellectual property contained in the files or data displayed on this website. All copyrights, trademarks, and other intellectual property rights remain the sole property of their respective owners. If you believe that content displayed on this website infringes upon your intellectual property rights, please contact the original content provider directly.

E. Fair Use Notice
Some content displayed on this website may fall under the "fair use" provisions of copyright law for purposes such as commentary, criticism, news reporting, research, or educational purposes. If you believe any content violates fair use guidelines, please reach out directly to the original source of the content for resolution.

Virus Scanning for Your Peace of Mind:

The files provided below have already been scanned for viruses by their original source. However, if you’d like to double-check before downloading, you can easily scan them yourself using the following steps:

How to scan a direct download link for viruses:

  • 1- Copy the direct link to the file you want to download (don’t open it yet).
    • (a free online tool) and paste the direct link into the provided field to start the scan.
  • 2- Visit VirusTotal (a free online tool) and paste the direct link into the provided field to start the scan.
  • 3- VirusTotal will scan the file using multiple antivirus vendors to detect any potential threats.
  • 4- Once the scan confirms the file is safe, you can proceed to download it with confidence and enjoy your content.

Available Downloads

  • Source: Internet Archive
  • Internet Archive Link: Archive.org page
  • All Files are Available: Yes
  • Number of Files: 16
  • Number of Available Files: 16
  • Added Date: 2020-04-13 06:31:05
  • PPI (Pixels Per Inch): 300

Available Files:

1- Text PDF

  • File origin: original
  • File Format: Text PDF
  • File Size: 0.01 Mbs
  • File Name: DTIC_ADA1041780.pdf
  • Direct Link: Click here

2- Metadata

  • File origin: original
  • File Format: Metadata
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_files.xml
  • Direct Link: Click here

3- Metadata

  • File origin: original
  • File Format: Metadata
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_meta.sqlite
  • Direct Link: Click here

4- Metadata

  • File origin: original
  • File Format: Metadata
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_meta.xml
  • Direct Link: Click here

5- Item Tile

  • File origin: original
  • File Format: Item Tile
  • File Size: 0.00 Mbs
  • File Name: __ia_thumb.jpg
  • Direct Link: Click here

6- Abbyy GZ

  • File origin: derivative
  • File Format: Abbyy GZ
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_abbyy.gz
  • Direct Link: Click here

7- chOCR

  • File origin: derivative
  • File Format: chOCR
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_chocr.html.gz
  • Direct Link: Click here

8- DjVuTXT

  • File origin: derivative
  • File Format: DjVuTXT
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_djvu.txt
  • Direct Link: Click here

9- Djvu XML

  • File origin: derivative
  • File Format: Djvu XML
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_djvu.xml
  • Direct Link: Click here

10- hOCR

  • File origin: derivative
  • File Format: hOCR
  • File Size: 0.01 Mbs
  • File Name: DTIC_ADA1041780_hocr.html
  • Direct Link: Click here

11- OCR Page Index

  • File origin: derivative
  • File Format: OCR Page Index
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_hocr_pageindex.json.gz
  • Direct Link: Click here

12- OCR Search Text

  • File origin: derivative
  • File Format: OCR Search Text
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_hocr_searchtext.txt.gz
  • Direct Link: Click here

13- Single Page Processed JP2 ZIP

  • File origin: derivative
  • File Format: Single Page Processed JP2 ZIP
  • File Size: 0.07 Mbs
  • File Name: DTIC_ADA1041780_jp2.zip
  • Direct Link: Click here

14- Page Numbers JSON

  • File origin: derivative
  • File Format: Page Numbers JSON
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_page_numbers.json
  • Direct Link: Click here

15- Scandata

  • File origin: derivative
  • File Format: Scandata
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_scandata.xml
  • Direct Link: Click here

16- Archive BitTorrent

  • File origin: metadata
  • File Format: Archive BitTorrent
  • File Size: 0.00 Mbs
  • File Name: DTIC_ADA1041780_archive.torrent
  • Direct Link: Click here

Search for “DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere” downloads:

Visit our Downloads Search page to see if downloads are available.

Find “DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere” in Libraries Near You:

Read or borrow “DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere” from your local library.

Buy “DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere” online:

Shop for “DTIC ADA1041780: Numerical Methods For Harmonic Analysis On The Sphere” on popular online marketplaces.