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Table representation of search results timeline featuring number of search results per year.

Year Number of Results
1977 1
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2005 2
2007 1
2008 1
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2010 2
2012 2
2014 2
2015 2
2016 1
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29 results

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Page 1
From boundaries to bumps: When closed (extremal) contours are critical.
Kunsberg B, Zucker SW. Kunsberg B, et al. J Vis. 2021 Dec 1;21(13):7. doi: 10.1167/jov.21.13.7. J Vis. 2021. PMID: 34913951 Free PMC article.
We relax the notion of occluding contour and, more accurately, the rim on the object that projects to it, to define closed extremal curves. This new shape descriptor is invariant over different renderings. ...
We relax the notion of occluding contour and, more accurately, the rim on the object that projects to it, to define closed extremal …
Genus-one surface registration via teichmuller extremal mapping.
Lam KC, Gu X, Lui LM. Lam KC, et al. Med Image Comput Comput Assist Interv. 2014;17(Pt 3):25-32. doi: 10.1007/978-3-319-10443-0_4. Med Image Comput Comput Assist Interv. 2014. PMID: 25320778
Existence and uniqueness of such optimal diffeomorphism is theoretically guaranteed and is called the Teichmuller extremal mapping. In this work, we propose an iterative algorithm, called the Quasi-conformal (QC) iteration, to find the Teichmuller extremal mapping b …
Existence and uniqueness of such optimal diffeomorphism is theoretically guaranteed and is called the Teichmuller extremal mapping. I …
Extremal edges versus other principles of figure-ground organization.
Ghose T, Palmer SE. Ghose T, et al. J Vis. 2010 Jul 1;10(8):3. doi: 10.1167/10.8.3. J Vis. 2010. PMID: 20884578 Free article.
In this paper, we compare flat cues to figure-ground organization with the recently discovered cue of extremal edges (EEs), which arise when opaque convex surfaces smoothly curve to partly occlude themselves. ...
In this paper, we compare flat cues to figure-ground organization with the recently discovered cue of extremal edges (EEs), which ari …
Curve matching on brain surfaces using Frenet distances.
Bakircioğlu M, Grenander U, Khaneja N, Miller MI. Bakircioğlu M, et al. Hum Brain Mapp. 1998;6(5-6):329-33. doi: 10.1002/(SICI)1097-0193(1998)6:5/6<329::AID-HBM1>3.0.CO;2-X. Hum Brain Mapp. 1998. PMID: 9788068 Free PMC article.
This paper describes methods for diffeomorphic matching of curves on brain surfaces. Distances between curves are defined by Frenet representation via speed, curvature, and torsion. The curvematching algorithm is based on bipartite graph matching, with weights defin …
This paper describes methods for diffeomorphic matching of curves on brain surfaces. Distances between curves are defined by F …
Predicting necessity of daily online adaptive replanning based on wavelet image features for MRI guided adaptive radiation therapy.
Nasief HG, Parchur AK, Omari E, Zhang Y, Chen X, Paulson E, Hall WA, Erickson B, Li XA. Nasief HG, et al. Radiother Oncol. 2022 Nov;176:165-171. doi: 10.1016/j.radonc.2022.10.001. Epub 2022 Oct 7. Radiother Oncol. 2022. PMID: 36216299 Free PMC article.

Spearman correlations, interclass correlation (ICC), coefficient of variance (COV), t-test (p < 0.05), self-organized map (SOM) and maximum stable extremal region (MSER) algorithm were used to determine candidate features, which were used to build the prediction models

…

Spearman correlations, interclass correlation (ICC), coefficient of variance (COV), t-test (p < 0.05), self-organized map (SOM) and maxim

…
The Variational Structure of Gradient Extremals.
Bofill JM, Quapp W, Caballero M. Bofill JM, et al. J Chem Theory Comput. 2012 Mar 13;8(3):927-35. doi: 10.1021/ct200805d. Epub 2012 Feb 16. J Chem Theory Comput. 2012. PMID: 26593355
The gradient extremals can be taken as a representation of reaction paths. We prove that this type of curve possesses a variational nature. We report the conditions such that these curves have the character of a minimal curve. Finally we discuss the re …
The gradient extremals can be taken as a representation of reaction paths. We prove that this type of curve possesses a variat …
On the minimum value of the Colless index and the bifurcating trees that achieve it.
Coronado TM, Fischer M, Herbst L, Rosselló F, Wicke K. Coronado TM, et al. J Math Biol. 2020 Jun;80(7):1993-2054. doi: 10.1007/s00285-020-01488-9. Epub 2020 Apr 7. J Math Biol. 2020. PMID: 32266429
Surprisingly, these expressions show a connection between the minimum Colless index and the so-called Blancmange curve, a fractal curve. We then fully characterize the tree shapes that achieve this minimum value and we introduce both an algorithm to generate them an …
Surprisingly, these expressions show a connection between the minimum Colless index and the so-called Blancmange curve, a fractal …
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds.
Georgiou A, Vandecasteele H, Bello-Rivas JM, Kevrekidis I. Georgiou A, et al. Chaos. 2023 Dec 1;33(12):123108. doi: 10.1063/5.0178947. Chaos. 2023. PMID: 38048255
We introduce an approach to locate saddle points (and other fixed points) that utilizes gradient extremals on such a priori unknown (Riemannian) manifolds, defined by adaptively sampled point clouds, with local coordinates discovered on-the-fly through manifold learning. T …
We introduce an approach to locate saddle points (and other fixed points) that utilizes gradient extremals on such a priori unknown ( …
On Sets Defining Few Ordinary Circles.
Lin A, Makhul M, Mojarrad HN, Schicho J, Swanepoel K, de Zeeuw F. Lin A, et al. Discrete Comput Geom. 2018;59(1):59-87. doi: 10.1007/s00454-017-9885-8. Epub 2017 Mar 20. Discrete Comput Geom. 2018. PMID: 29284799 Free PMC article.
We prove that P spans at most [Formula: see text] circles passing through exactly four points of P. Here we determine the exact maximum and the extremal configurations for all sufficiently large n. These results are based on the following structure theorem. If n is suffici …
We prove that P spans at most [Formula: see text] circles passing through exactly four points of P. Here we determine the exact maximum and …
29 results