On Unique Reconstruction of a Lambertian Curve from a Stereo Pair of Images

On Unique Reconstruction of a Lambertian Curve from a Stereo Pair of Images Full article

Journal

Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126

Output data

Year: 2024, Volume: 34, Number: 4, Pages: 308–319 Pages count : 12 DOI: 10.1134/S1055134424040072

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0009

Within the framework of inverse problems of photometry, we study questions on reconstruction of the spatial location and luminosity of a Lambertian curve from a stereo pair of its images. We study sources of ambiguity in reconstruction of the location of such a curve and suggest criteria for existence of a unique solution of the problem for general weight functions. We apply the results to specific classes of weight functions that model the degree of transparency of the medium (including its absorption or scattering)

Derevtsov E.Y.
On Unique Reconstruction of a Lambertian Curve from a Stereo Pair of Images
Siberian Advances in Mathematics. 2024. V.34. N4. P.308–319. DOI: 10.1134/S1055134424040072 Scopus РИНЦ OpenAlex

Деревцов Е.Ю.
О единственности определения ламбертовой оптической кривой по стереопаре ее изображений
Математические труды. 2024. Т.27. №3. С.52-73. DOI: 10.25205/1560-750X-2024-27-3-52-73 РИНЦ

Submitted:	Aug 27, 2024
Accepted:	Oct 30, 2024
Published print:	Nov 15, 2024
Published online:	Jan 14, 2025

Scopus:	2-s2.0-85217409285
Elibrary:	79610858
OpenAlex:	W4406373549

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