**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**57

# Search results for: Euclidean

##### 57 Speed up Vector Median Filtering by Quasi Euclidean Norm

**Authors:**
Vinai K. Singh

**Abstract:**

**Keywords:**
euclidean norm,
quasi euclidean norm,
vector median filtering,
applied mathematics

##### 56 Use of Gaussian-Euclidean Hybrid Function Based Artificial Immune System for Breast Cancer Diagnosis

**Authors:**
Cuneyt Yucelbas,
Seral Ozsen,
Sule Yucelbas,
Gulay Tezel

**Abstract:**

**Keywords:**
artificial immune system,
breast cancer diagnosis,
Euclidean function,
Gaussian function

##### 55 SC-LSH: An Efficient Indexing Method for Approximate Similarity Search in High Dimensional Space

**Authors:**
Sanaa Chafik,
Imane Daoudi,
Mounim A. El Yacoubi,
Hamid El Ouardi

**Abstract:**

**Keywords:**
approximate nearest neighbor search,
content based image retrieval (CBIR),
curse of dimensionality,
locality sensitive hashing,
multidimensional indexing,
scalability

##### 54 Refutation of Imre Hermann's Allegation: János Bolyai Was Not Insane

**Authors:**
Oláh Gál Róbert,
Veress Bágyi Ibolya

**Abstract:**

**Keywords:**
Imre Hermann,
insane,
János Bolyai,
mathematics,
non-Euclidean geometry,
psyphoanalytic

##### 53 Vector-Based Analysis in Cognitive Linguistics

**Authors:**
Chuluundorj Begz

**Abstract:**

**Keywords:**
Euclidean spaces,
isomorphism and homomorphism,
mental lexicon,
mental mapping,
semantic memory,
verbal cognition,
vector space

##### 52 Teaching Non-Euclidean Geometries to Learn Euclidean One: An Experimental Study

**Authors:**
Silvia Benvenuti,
Alessandra Cardinali

**Abstract:**

**Keywords:**
Non-Euclidean geometries,
beliefs about mathematics,
questionnaires,
modern axiomatic method

##### 51 Algorithms for Fast Computation of Pan Matrix Profiles of Time Series Under Unnormalized Euclidean Distances

**Authors:**
Jing Zhang,
Daniel Nikovski

**Abstract:**

**Keywords:**
pan matrix profile,
unnormalized euclidean distance,
double-ended queue,
discord discovery,
anomaly detection

##### 50 Variable Tree Structure QR Decomposition-M Algorithm (QRD-M) in Multiple Input Multiple Output-Orthogonal Frequency Division Multiplexing (MIMO-OFDM) Systems

**Authors:**
Jae-Hyun Ro,
Jong-Kwang Kim,
Chang-Hee Kang,
Hyoung-Kyu Song

**Abstract:**

**Keywords:**
complexity,
MIMO-OFDM,
QRD-M,
squared Euclidean distance

##### 49 Generation of Photo-Mosaic Images through Block Matching and Color Adjustment

**Authors:**
Hae-Yeoun Lee

**Abstract:**

**Keywords:**
photomosaic,
Euclidean distance,
block matching,
intensity adjustment

##### 48 Comparison of Heuristic Methods for Solving Traveling Salesman Problem

**Authors:**
Regita P. Permata,
Ulfa S. Nuraini

**Abstract:**

**Keywords:**
Euclidean,
heuristics,
simulation,
TSP

##### 47 Characterization and Monitoring of the Yarn Faults Using Diametric Fault System

**Authors:**
S. M. Ishtiaque,
V. K. Yadav,
S. D. Joshi,
J. K. Chatterjee

**Abstract:**

**Keywords:**
Euclidean distance,
fault classification,
KLT,
Radon Transform

##### 46 Triangular Geometric Feature for Offline Signature Verification

**Authors:**
Zuraidasahana Zulkarnain,
Mohd Shafry Mohd Rahim,
Nor Anita Fairos Ismail,
Mohd Azhar M. Arsad

**Abstract:**

**Keywords:**
biometrics,
euclidean classifier,
features extraction,
offline signature verification,
voting-based classifier

##### 45 [Keynote Talk]: Discovering Liouville-Type Problems for p-Energy Minimizing Maps in Closed Half-Ellipsoids by Calculus Variation Method

**Authors:**
Lina Wu,
Jia Liu,
Ye Li

**Abstract:**

**Keywords:**
Bochner formula,
Calculus Stokes' Theorem,
Cauchy-Schwarz Inequality,
first and second variation formulas,
Liouville-type problem,
p-harmonic map

##### 44 [Keynote Talk]: Applying p-Balanced Energy Technique to Solve Liouville-Type Problems in Calculus

**Authors:**
Lina Wu,
Ye Li,
Jia Liu

**Abstract:**

*q*-energy for a function from finite in

*L*space to infinite in non-

^{q}*L*space by applying

^{q}*p*-balanced technique where

*q*=

*p*= 2. Calculation skills such as Hölder's Inequality and Tests for Series have been used to evaluate limits and integrations for function energy. Calculation ideas and computational techniques for solving Liouville-type problems shown in this article, which are utilized in Euclidean spaces, can be universalized as a successful algorithm, which works for both maps and differential forms on Riemannian manifolds. This innovative algorithm has a far-reaching impact on research work of solving Liouville-type problems in the general settings involved with infinite energy. The

*p*-balanced technique in this algorithm provides a clue to success on the road of

*q*-energy extension from finite to infinite.

**Keywords:**
differential forms,
holder inequality,
Liouville-type problems,
p-balanced growth,
p-harmonic maps,
q-energy growth,
tests for series

##### 43 Iris Recognition Based on the Low Order Norms of Gradient Components

**Authors:**
Iman A. Saad,
Loay E. George

**Abstract:**

**Keywords:**
iris recognition,
contrast stretching,
gradient features,
texture features,
Euclidean metric

##### 42 Biases in Numerically Invariant Joint Signatures

**Authors:**
Reza Aghayan

**Abstract:**

**Keywords:**
Euclidean and affine geometries,
differential invariant signature curves,
numerically invariant joint signatures,
numerical analysis,
numerical bias,
curve analysis

##### 41 Detailed Observations on Numerically Invariant Signatures

**Authors:**
Reza Aghayan

**Abstract:**

**Keywords:**
Euclidean and affine geometry,
differential invariant G-signature curves,
numerically invariant joint G-signatures,
object recognition,
noise,
indeterminacy

##### 40 Anti-Gravity to Neo-Concretism: The Epodic Spaces of Non-Objective Art

**Authors:**
Alexandra Kennedy

**Abstract:**

**Keywords:**
anti-gravity,
neo-concrete,
non-Euclidian geometry,
non-objective painting

##### 39 Identification of Configuration Space Singularities with Local Real Algebraic Geometry

**Authors:**
Marc Diesse,
Hochschule Heilbronn

**Abstract:**

**Keywords:**
linkages,
configuration space-singularities,
real algebraic geometry,
analytic geometry

##### 38 Pythagorean-Platonic Lattice Method for Finding all Co-Prime Right Angle Triangles

**Authors:**
Anthony Overmars,
Sitalakshmi Venkatraman

**Abstract:**

**Keywords:**
Pythagorean triples,
platonic triples,
right angle triangles,
co-prime numbers,
cryptography

##### 37 A Nonlocal Means Algorithm for Poisson Denoising Based on Information Geometry

**Authors:**
Dongxu Chen,
Yipeng Li

**Abstract:**

**Keywords:**
image denoising,
Poisson noise,
information geometry,
nonlocal-means

##### 36 Existence and Concentration of Solutions for a Class of Elliptic Partial Differential Equations Involving p-Biharmonic Operator

**Authors:**
Debajyoti Choudhuri,
Ratan Kumar Giri,
Shesadev Pradhan

**Abstract:**

**Keywords:**
p-Laplacian,
p-biharmonic,
elliptic PDEs,
Concentration lemma,
Sobolev space

##### 35 Improved Color-Based K-Mean Algorithm for Clustering of Satellite Image

**Authors:**
Sangeeta Yadav,
Mantosh Biswas

**Abstract:**

**Keywords:**
cluster,
ncolor method,
K-mean method,
interactive selection process

##### 34 Decision Trees Constructing Based on K-Means Clustering Algorithm

**Authors:**
Loai Abdallah,
Malik Yousef

**Abstract:**

**Keywords:**
ensemble clustering,
decision trees,
classification,
K nearest neighbors

##### 33 An Improved Method to Compute Sparse Graphs for Traveling Salesman Problem

**Authors:**
Y. Wang

**Abstract:**

*O*(

*CN*

_{max}

*n*

^{2}) where

*C*is the iterations,

*N*

_{max}is the maximum number of frequency quadrilaterals containing each edge and

*n*is the scale of TSP. The experimental results showed the computed sparse graphs generally have less than 5

*n*edges for most of these Euclidean instances. Moreover, the maximum degree and minimum degree of the vertices in the sparse graphs do not have much difference. Thus, the computation time of the methods to resolve the TSP on these sparse graphs will be greatly reduced.

**Keywords:**
frequency quadrilateral,
iterative algorithm,
sparse graph,
traveling salesman problem

##### 32 Jordan Curves in the Digital Plane with Respect to the Connectednesses given by Certain Adjacency Graphs

**Authors:**
Josef Slapal

**Abstract:**

**Keywords:**
digital plane,
adjacency graph,
Jordan curve,
quotient adjacency

##### 31 Identification of Nonlinear Systems Using Radial Basis Function Neural Network

**Authors:**
C. Pislaru,
A. Shebani

**Abstract:**

**Keywords:**
system identification,
nonlinear systems,
neural networks,
radial basis function,
K-means clustering algorithm

##### 30 A Minimum Spanning Tree-Based Method for Initializing the K-Means Clustering Algorithm

**Authors:**
J. Yang,
Y. Ma,
X. Zhang,
S. Li,
Y. Zhang

**Abstract:**

**Keywords:**
degree,
initial cluster center,
k-means,
minimum spanning tree

##### 29 A Geometrical Method for the Smoluchowski Equation on the Sphere

**Authors:**
Adriano Valdes-Gomez,
Francisco Javier Sevilla

**Abstract:**

**Keywords:**
diffusion on the sphere,
Fokker-Planck equation on the sphere,
non equilibrium processes on the sphere,
numerical methods for diffusion on the sphere

##### 28 A Multi-Population DE with Adaptive Mutation and Local Search for Global Optimization

**Authors:**
Zhoucheng Bao,
Haiyan Zhu,
Tingting Pang,
Zuling Wang

**Abstract:**

**Keywords:**
differential evolution,
multi-mutation strategies,
memetic algorithm,
adaptive local search