Reconstructing patterns from sample data.
TL;DR: In this paper, a probabilistic approach to the problem of estimating a Euclidean region's partition into a known number of subregions is presented. But the problem is to obtain an estimated reconstruction of the partition based on the observations.
read more
Abstract: : A Euclidean region is partitioned in an unknown way into a known number of subregions. For a discrete set of points in the region we may observe into which subregion they each fall. The problem is to obtain an estimated reconstruction of the partition based on the observations. Section 1 outlines a probabilistic approach to the problem and defines criteria of goodness for an estimated reconstruction. Section 2 evaluates the performance of nearest-point rules. Section 3 examines the effect of sample-size and compares several arrangements of the data points. Section 4 proposes a modification of nearest-point procedures having a certain optimality property. Section 5 is more or less independent of the earlier sections; it explores several probabilistic partitioning models. (Author)
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Statistical and structural approaches to texture
Robert M. Haralick
- 01 Jan 1979
TL;DR: This survey reviews the image processing literature on the various approaches and models investigators have used for texture, including statistical approaches of autocorrelation function, optical transforms, digital transforms, textural edgeness, structural element, gray tone cooccurrence, run lengths, and autoregressive models.
5.7K
Two algorithms for constructing a Delaunay triangulation
Der-Tsai Lee,Bruce Schachter +1 more
TL;DR: This paper provides a unified discussion of the Delaunay triangulation and two algorithms are presented for constructing the triangulations over a planar set ofN points.
Toward a structural textural analyzer based on statistical methods
TL;DR: To mathematically verify that the features used with the SGLDM can be used to characterize the unit pattern and placement rules of a periodic texture, a mathematical tiling theory model is proposed and allows one to develop the mathematical machinery necessary to prove the result.
134
Mapping by simple indicator kriging
TL;DR: In this paper, simple indicator kriging is used to estimate the conditional probability that a point is of one type or the other given the types of sample points in a two-type map.
130
Mosaic Models for Textures
Narendra Ahuja,Azriel Rosenfeld +1 more
TL;DR: Theoretical and empirical results on properties of patterns generated using image models based on random geometric processes are summarized and can be used as aids in fitting the models to images.
116
References
On the Measure of a Random Set
TL;DR: In this article, the authors considered the problem of finding the probability that a point xi shall lie to the left of any point x is a given function of x, where xi is a function of the point x.