Numerical Integration And Data Reduction For Application In Photometry
In this thesis, an algorithm based on a local interpolation scheme called the Average Angle Method was developed for numerical integration and data reduction of photometric data, and in general, for any data set sharing similar characteristics as the luminous intensity data The new interpolation sch...
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| Format: | Thesis |
| Language: | en |
| Published: |
2003
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| Online Access: | http://eprints.usm.my/61881/1/Pages%20from%20Chew%20Tong%20Fatt.pdf http://eprints.usm.my/61881/ |
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| _version_ | 1834507737609797632 |
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| author | Chew, Tong Fatt |
| author_facet | Chew, Tong Fatt |
| author_sort | Chew, Tong Fatt |
| building | Hamzah Sendut Library |
| collection | Institutional Repository |
| content_provider | Universiti Sains Malaysia |
| content_source | USM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | In this thesis, an algorithm based on a local interpolation scheme called the Average Angle Method was developed for numerical integration and data reduction of photometric data, and in general, for any data set sharing similar characteristics as the luminous intensity data The new interpolation scheme interpolates discrete data with piecewise cubic polynomials having a CI continuity in the interior. knots. The first derivatives at the interior knots are estimated from the average of the angles subtended to the horizontal by two adjacent slopes. In a further development, the algorithm is extended to create another
algorithm using quintic polynomial interpolation that has C2 continuity, providing smoother interpolation
curves but retaining the local nature of interpolation. |
| format | Thesis |
| id | my.usm.eprints.61881 |
| institution | Universiti Sains Malaysia |
| language | en |
| publishDate | 2003 |
| record_format | eprints |
| spelling | my.usm.eprints.61881 http://eprints.usm.my/61881/ Numerical Integration And Data Reduction For Application In Photometry Chew, Tong Fatt QA1 Mathematics (General) In this thesis, an algorithm based on a local interpolation scheme called the Average Angle Method was developed for numerical integration and data reduction of photometric data, and in general, for any data set sharing similar characteristics as the luminous intensity data The new interpolation scheme interpolates discrete data with piecewise cubic polynomials having a CI continuity in the interior. knots. The first derivatives at the interior knots are estimated from the average of the angles subtended to the horizontal by two adjacent slopes. In a further development, the algorithm is extended to create another algorithm using quintic polynomial interpolation that has C2 continuity, providing smoother interpolation curves but retaining the local nature of interpolation. 2003-10 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/61881/1/Pages%20from%20Chew%20Tong%20Fatt.pdf Chew, Tong Fatt (2003) Numerical Integration And Data Reduction For Application In Photometry. Masters thesis, Universiti Sains Malaysia. |
| spellingShingle | QA1 Mathematics (General) Chew, Tong Fatt Numerical Integration And Data Reduction For Application In Photometry |
| title | Numerical Integration And Data Reduction For Application In
Photometry |
| title_full | Numerical Integration And Data Reduction For Application In
Photometry |
| title_fullStr | Numerical Integration And Data Reduction For Application In
Photometry |
| title_full_unstemmed | Numerical Integration And Data Reduction For Application In
Photometry |
| title_short | Numerical Integration And Data Reduction For Application In
Photometry |
| title_sort | numerical integration and data reduction for application in
photometry |
| topic | QA1 Mathematics (General) |
| url | http://eprints.usm.my/61881/1/Pages%20from%20Chew%20Tong%20Fatt.pdf http://eprints.usm.my/61881/ |
| url_provider | http://eprints.usm.my/ |