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Improved Approximation Bounds for Planar Point Pattern Matching
Jan 6, 2006 ... nar point sets under rigid transformations so as to minimize the directed ... Keywords Point pattern matching · Approximation algorithms ...
[ alg08-match.pdf - Read/Download File

Approximate input sensitive algorithms for point pattern matching
We study input sensitive algorithms for point pattern matching under various .... faster algorithm under rigid transformations, and provide new algo- rithms for ...... [8] M. Cho, D.M. Mount, Improved approximation bounds for planar point pattern.
[ Approx-input-sensitive-for-PM.pdf - Read/Download File

CHAPTER 1 iscrete Geometric Shapes: Matching, Interpolation, and
sure the similarity or distance between shapes, as well as to approximate ... translations (these transformations are called rigid m ot i ons , or Euclid e a n t ra ns - .... E xact point pattern matching under arbitrary a£ffi ne t ra ns f o rma t i ons is consid- .... translation only, E frat and ItaiЛ9 E I GШP improve the bounds ofЖ9 AЖ4 ...
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Probabilistic Matching of Planar Regions
Feb 25, 2009 ... polygons under translations or rigid motions is an interesting ... constant factor approximation algorithm for minimizing the area of the symmetric difference of ... timal match of planar sets under a subgroup of affine transformations. ... transformation points from random experiments for some parameter δ 1.
[ 0902.4337 - Read/Download File

Geometric pattern matching under Euclidean motion - ScienceDirect
This problem can be modeled as a pattern matching problem for planar sets A and ... B is within e of some point in A. In this paper we present improved algorithms for the ... In each case, our decision procedures have time bounds that are a log mn ..... points under rigid motion, and segments under rigid motion, respectively.
[ 1-s2.0-092577219500047X-main.pdf?_tid=2d926770-465f-11e4-9ae1-00000aacb35f&acdnat=1411833713_707a9002bda96d35dc9d4076f7a4d6a0 - Read/Download File

Combinatorial and Experimental Methods for Approximate Point
We study approximate point pattern matching, with the goal of developing ... the problem of computing the Hausdorff distance from P to Q under ... we discuss combinatorial bounds for approximate distances in planar point sets .... denote the group of all rigid ... to improve the analysis of simple point set matching algorithms.
[ combj.pdf - Read/Download File

Geometric Matching under Noise: Combinatorial Bounds and
pattern matching, we are given two sets of points P and Q in d dimensions, and the problem is to determine the rigid transformation that brings P ... obtain improved results for geometric pattern matching and .... dorff measure in d dimensions under rigid transforma- .... who investigated bounds on the number of approximate.
[ indyk_matching.pdf - Read/Download File

The directed Hausdorff distance between imprecise point sets
and whether its tight upper or lower bound is computed there are several ... In many cases patterns and shapes are modeled as finite sets of .... improved under certain assumptions. ... lem planar 3-sat [10] to the problem of computing hmin(P, ˜Q) for a set P of .... approximate geometric pattern matching under rigid motion.
[ scherfenberg3.pdf - Read/Download File

Geometric Matching under Noise: Combinatorial - CiteSeerX
and the problem is to determine the rigid transformation that brings P closest to Q, under ... bounds we prove enable us to obtain improved results for geometric pattern matching and may ... Problem 1.3 ( -approximate pattern matching) Given ; > 0 and point sets P; Q in the plane. ..... Let G denote a planar grid consisting of.
[ download?doi=10.1.1.30.5777&rep=rep1&type=pdf - Read/Download File

Maximizing the Overlap of Two Planar Convex Sets under Rigid
Apr 24, 2006 ... P under a rigid motion that approximately maximizes the overlap ... geometric pattern matching ... They compute a (1 − ε)-approximation for the maximal area of ... O(1/ε) extreme point and line intersection queries on the convex ... to either prove this (as it would also improve the time bound of our algorithm.
[ acpsv-motpc.pdf - Read/Download File

Discrete Geometric Shapes: Matching, Interpolation, and
Dec 3, 1996 ... similarity or distance between shapes, as well as to approximate shapes, ... be matched exactly by say, rigid motions, i.e. whether are A and B congruent. ... Exact point pattern matching under arbitrary a ne transformations is considered by .... Itai EI96] improve the bounds of AMWW88] using geometric ...
[ download?doi=10.1.1.57.1364&rep=rep1&type=pdf - Read/Download File

4-Points Congruent Sets for Robust Surface Registration - Computer
are approximately congruent, under rigid transformation, to a given set of coplanar 4-points. ... approximate transformation, followed by an Iterated Closest Point ... Improvements of this ... tain ratios defined on a planar congruent set remain invariant under ... work on pattern matching to seek resemblance between point sets.
[ fpcsSIG08.pdf - Read/Download File

Pattern Matching for Spatial Point Sets - Computing + Mathematical
data set ¤ consisting of ¥ points, and a pattern set or probe ... The groups we consider are translations and rigid motions. ... to ¤ is below a specified Threshold 3 ; or Nearly Exact ... for Exact, Threshold, Nearly Exact and Approximate Best. Match. In the Real case, the ..... We begin with an upper bound on the probability that.
[ pattern.pdf - Read/Download File

New approaches to robust, point-based image registration
Sep 15, 2010 ... Image registration and point pattern matching are closely related computational problems. ... Computing the optimal alignment of two-point sets even under the relatively simple ...... Improved approximation bounds for planar point pattern matching. ... pattern matching under rigid motions. IEEE Transactions ...
[ Ch8.pdf - Read/Download File

This is an electronic reprint of the original article. This reprint may
Apr 11, 2014 ... Point-pattern matching provides a measure of correspondence between two point-sets under various .... Matching unpaired point-sets under a given class of transfor- mations is a ...... pattern matching under rigid motions. ... Cho M, Mount D (2005) Improved approximation bounds for planar point pattern ...
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Quantitative Analysis of Dynamic Association in Live - Plos
Apr 11, 2014 ... Point-pattern matching provides a measure of correspondence between two point-sets under various .... Matching unpaired point-sets under a given class of transfor- mations is a ...... pattern matching under rigid motions. ... Cho M, Mount D (2005) Improved approximation bounds for planar point pattern ...
[ journal.pone.0094245.PDF - Read/Download File

Approximation Algorithms for 3-D Common Substructure - ETH TIK
geometric pattern matching problem : given two point sets A and B in ... we improve the known approximation ratio for this class of algorithms, ... point sets A and B, whether there exists a rigid transformation under which A becomes ..... The new bounds l and u, approximating max( ), .... Checking similarity of planar figures.
[ CB99a.pdf - Read/Download File

Download as a PDF - CiteSeerX
and whether its tight upper or lower bound is computed there are several cases to. 13 ... In many cases patterns and shapes are modeled as finite sets of. 23 points. 24 ..... lem planar 3-sat [10] to the problem of computing hmin(P, ˜Q) for a set P of. 26 ..... approximate geometric pattern matching under rigid motion. In Proc.
[ KnauerLofflerScherfenbergWolle_TheDirectedHausdorffDistBetweenImprPointSets_Conferenceversion.pdf - Read/Download File

C:\Documents and Settings\USER\Local Settings\Temp\match.ps
Improvements on Bottleneck Matching and Related ... In the field of pattern recognition it is often required ... blance under some rigid motion or other transforma- ... underlying norm is L2, (the planar Euclidean point- ... computes an e-approximation for Match(A, B) in any ... improve this bound to O(n5 log n), and show how to.
[ match.pdf - Read/Download File

Fast Global Pointcloud Registration via Smart Indexing
matching points .... i.e., related by rigid transforms, to a given planar 4-points in O( n2 + k) time ... bounds for the approximate case, assuming the minimum c 2014 ...
[ super4pcs.pdf - Read/Download File

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