Clinical and biological applications of image analysis in non-Hodgkin's lymphomas

Canzonieri, Vincenzo; Carbone, Antonino

doi:10.1002/(sici)1099-1069(1998030)16:1<15::aid-hon618>3.0.co;2-j

Cited by 6 publications

(4 citation statements)

References 35 publications

(36 reference statements)

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“…The CI has been used in oncology (see, e.g., [4]) and cardiology [11], but the interpretation of this index in the two scientific fields is somewhat different. A high value of the CI in a tumor usually suggests a high dissemination capacity of the injured area.…”

Section: 3mentioning

confidence: 99%

A nonparametric approach to the estimation of lengths and surface areas

Cuevas¹,

Fraiman²,

Rodríguez-Casal³

2007

Ann. Statist.

100

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The Minkowski content L0(G) of a body G ⊂ Rd represents the boundary length (for d = 2) or the surface area (for d = 3) of G. A method for estimating L0(G) is proposed. It relies on a nonparametric estimator based on the information provided by a random sample (taken on a rectangle containing G) in which we are able to identify whether every point is inside or outside G. Some theoretical properties concerning strong consistency, L1-error and convergence rates are obtained. A practical application to a problem of image analysis in cardiology is discussed in some detail. A brief simulation study is providedSupported in part by Spanish Grant MTM2004-00098, MTM2005-00820 and PGIDIT06PXIB207009P

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Section: 3mentioning

confidence: 99%

A nonparametric approach to the estimation of lengths and surface areas

Cuevas¹,

Fraiman²,

Rodríguez-Casal³

2007

Ann. Statist.

100

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“…Intraobserver variability is minimized and allows for retrospective quality control. Furthermore, it is easily standardized and often time‐saving 19,20 . Features such as area, shape and intensity can be quantified simultaneously, providing extensive information about the expression of a molecular marker.…”

Section: Discussionmentioning

confidence: 99%

Tissue microarray and digital image analysis: a methodological study with special reference to the microenvironment in Hodgkin lymphoma

et al. 2012

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“…The square root of CI(S) has been sometimes called "contour index"; see Canzonieri and Carbone (1998) for an application in oncology.…”

Section: Practical Motivationsmentioning

confidence: 99%

Polynomial volume estimation and its applications

Cuevas

Pateiro-López

2018

Journal of Statistical Planning and Inference

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Given a compact set S ⊂ R d we consider the problem of estimating, from a random sample of points, the Lebesgue measure of S, µ(S), and its boundary measure, L(S) (as defined by the Minkowski content of ∂S). This topic has received some attention, especially in the two-dimensional case d = 2, motivated by applications in image analysis. A new method to simultaneously estimate µ(S) and L(S) from a sample of points inside S is proposed. The basic idea is to assume that S has a polynomial volume, that is, that V (r) := µ{x : d(x, S) ≤ r} is a polynomial in r of degree d, for all r in some interval [0, R). We develop a minimum distance approach to estimate the coefficients of V (r) and, in particular µ(S) and L(S), which correspond, respectively, to the independent term and the first degree coefficient of V (r). The strong consistency of the proposed estimators is proved. Some numerical illustrations are given.

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Clinical and biological applications of image analysis in non-Hodgkin's lymphomas

Cited by 6 publications

References 35 publications

A nonparametric approach to the estimation of lengths and surface areas

A nonparametric approach to the estimation of lengths and surface areas

Tissue microarray and digital image analysis: a methodological study with special reference to the microenvironment in Hodgkin lymphoma

Polynomial volume estimation and its applications

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