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A Functorial Approach to Algebraic Vision
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | A Functorial Approach to Algebraic Vision. |
| 개인저자 | Van Meter, Lucas. |
| 단체저자명 | University of Washington. Mathematics. |
| 발행사항 | [S.l.]: University of Washington., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 91 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781088303306 |
| 학위논문주기 | Thesis (Ph.D.)--University of Washington, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Lieblich, Max. |
| 이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
| 요약 | We study multiview moduli problems that arise in computer vision. We show that these moduli spaces are always smooth and irreducible, in both the calibrated and uncalibrated cases, for any number of views. We also show that these moduli spaces always embed in suitable Hilbert schemes, and that these embeddings are open immersions for more than four views, extending and refining work of Aholt--Sturmfels--Thomas. We also give a new construction of the space of essential matrices from first principles. This construction enables us to re-prove the fundamental results of Demazure and to re-prove the recent description of the essential variety due to Kileel--Floystad--Ottaviani as well as extend the classical twisted pair covering of the essential variety. |
| 일반주제명 | Mathematics. Matrix. Algebra. Calibration. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
