4.8 Article

Unique Geometry and Texture From Corresponding Image Patches

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IEEE COMPUTER SOC
DOI: 10.1109/TPAMI.2021.3081360

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Geometry; Shape; Transmission line matrix methods; Surface texture; Structure from motion; Surface treatment; Estimation; Shape from texture; structure from motion

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The study presents a sufficient condition for recovering unique texture and viewpoints from unknown orthographic projections. It is shown that four observations are generally sufficient, with characterization of ambiguous cases. The results have applications in shape from texture and texture-based structure from motion.
We present a sufficient condition for recovering unique texture and viewpoints from unknown orthographic projections of a flat texture process. We show that four observations are sufficient in general, and we characterize the ambiguous cases. The results are applicable to shape from texture and texture-based structure from motion.

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