| IEICE Technical Committee Submission System Conference Paper's Information |
Online Proceedings [Sign in] Tech. Rep. Archives |
| Go Top Page | Go Previous | [Japanese] / [English] |
| Paper Abstract and Keywords | ||
| Presentation | 2012-07-02 09:20 A Robust Algebraic Phase Unwrapping Based on Spline Approximation Daichi Kitahara, Isao Yamada (Tokyo Inst. of Tech.)  CAS2012-1 VLD2012-11 SIP2012-33 MSS2012-1 |
|
| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The phase unwrapping is a problem to find, at any specified point, the value of the continuous phase function which contains valuable information in many applications. If a given data sequence of $2$-D real vectors is modeled as samples of a complex polynomial, the exact unwrapped phase can be computed through algorithms named the algebraic phase unwrapping. In this paper, to promote the understanding and extend the practicability of the algebraic phase unwrapping, we propose a widely applicable phase unwrapping technique, by combining the spline smoothing and the algebraic phase unwrapping, for a given data sequence of $2$-D noisy vectors. The spline smoothing works as an optimal preprocessing in the sense that it is the unique solution to a variational problem for minimizing the sum of ``fidelity" to the data and ``roughness" of the curve. Fortunately, since the standard spline smoothing and its various generalizations produce always low-order piecewise real polynomials, we can compute the exact unwrapped phase for the pair of piecewise polynomials without suffering from a certain numerical instability observed typically in applications of the algebraic phase unwrapping to a complex polynomial of large degree. |
|
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Algebraic phase unwrapping / Spline smoothing / Piecewise polynomial / Cubic spline / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 112, no. 115, SIP2012-33, pp. 1-6, July 2012. | |
| Paper # | SIP2012-33 | |
| Date of Issue | 2012-06-25 (CAS, VLD, SIP, MSS) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | CAS2012-1 VLD2012-11 SIP2012-33 MSS2012-1 |
|
| Conference Information | |
| Committee | VLD CAS MSS SIP |
| Conference Date | 2012-07-02 - 2012-07-03 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kyoto Research Park |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | SIP |
| Conference Code | 2012-07-VLD-CAS-MSS-SIP |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Robust Algebraic Phase Unwrapping Based on Spline Approximation |
| Sub Title (in English) | |
| Keyword(1) | Algebraic phase unwrapping |
| Keyword(2) | Spline smoothing |
| Keyword(3) | Piecewise polynomial |
| Keyword(4) | Cubic spline |
| Keyword(5) | |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Daichi Kitahara |
| 1st Author's Affiliation | Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
| 2nd Author's Name | Isao Yamada |
| 2nd Author's Affiliation | Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
| 3rd Author's Name | |
| 3rd Author's Affiliation | () |
| 4th Author's Name | |
| 4th Author's Affiliation | () |
| 5th Author's Name | |
| 5th Author's Affiliation | () |
| 6th Author's Name | |
| 6th Author's Affiliation | () |
| 7th Author's Name | |
| 7th Author's Affiliation | () |
| 8th Author's Name | |
| 8th Author's Affiliation | () |
| 9th Author's Name | |
| 9th Author's Affiliation | () |
| 10th Author's Name | |
| 10th Author's Affiliation | () |
| 11th Author's Name | |
| 11th Author's Affiliation | () |
| 12th Author's Name | |
| 12th Author's Affiliation | () |
| 13th Author's Name | |
| 13th Author's Affiliation | () |
| 14th Author's Name | |
| 14th Author's Affiliation | () |
| 15th Author's Name | |
| 15th Author's Affiliation | () |
| 16th Author's Name | |
| 16th Author's Affiliation | () |
| 17th Author's Name | |
| 17th Author's Affiliation | () |
| 18th Author's Name | |
| 18th Author's Affiliation | () |
| Speaker | Author-1 |
| Date Time | 2012-07-02 09:20:00 |
| Presentation Time | 20 minutes |
| Registration for | SIP |
| Paper # | CAS2012-1, VLD2012-11, SIP2012-33, MSS2012-1 |
| Volume (vol) | vol.112 |
| Number (no) | no.113(CAS), no.114(VLD), no.115(SIP), no.116(MSS) |
| Page | pp.1-6 |
| #Pages | 6 |
| Date of Issue | 2012-06-25 (CAS, VLD, SIP, MSS) |
[Return to Top Page]