A Novel Approach for Designing Interpolation Filter Using Basis Functions

2008 ◽  
Author(s):  
Qiang Yuan ◽  
Yuanling Huang ◽  
Jiangtao Yu
Keyword(s):  
Basis Functions ◽  
Interpolation Filter ◽  
Novel Approach

EYE DETECTION USING OPTIMAL WAVELET PACKETS AND RADIAL BASIS FUNCTIONS (RBFs)

1999 ◽  
Vol 13 (07) ◽  
pp. 1009-1025 ◽  
Author(s):  
JEFFREY HUANG ◽  
HARRY WECHSLER
Keyword(s):  
Radial Basis Functions ◽  
Detection Task ◽  
Basis Functions ◽  
Wavelet Packets ◽  
Eye Detection ◽  
Robust Performance ◽  
Image Normalization ◽  
Entropy Minimization ◽  
Novel Approach ◽  
Radial Basis

The eyes are important facial landmarks, both for image normalization due to their relatively constant interocular distance, and for post processing due to the anchoring on model-based schemes. This paper introduces a novel approach for the eye detection task using optimal wavelet packets for eye representation and Radial Basis Functions (RBFs) for subsequent classification ("labeling") of facial areas as eye versus non-eye regions. Entropy minimization is the driving force behind the derivation of optimal wavelet packets. It decreases the degree of data dispersion and it thus facilitates clustering ("prototyping") and capturing the most significant characteristics of the underlying (eye regions) data. Entropy minimization is thus functionally compatible with the first operational stage of the RBF classifier, that of clustering, and this explains the improved RBF performance on eye detection. Our experiments on the eye detection task prove the merit of this approach as they show that eye images compressed using optimal wavelet packets lead to improved and robust performance of the RBF classifier compared to the case where original raw images are used by the RBF classifier.

INTERACTIVE REGISTRATION OF INTRACELLULAR VOLUMES WITH RADIAL BASIS FUNCTIONS

2010 ◽  
Vol 09 (03) ◽  
pp. 207-224 ◽  
Author(s):  
SHIN YOSHIZAWA ◽  
SATOKO TAKEMOTO ◽  
MIWA TAKAHASHI ◽  
MAKOTO MUROI ◽  
SAYAKA KAZAMI ◽  
...  
Keyword(s):  
Image Registration ◽  
Radial Basis Functions ◽  
Plasma Membranes ◽  
Mapping Function ◽  
Basis Functions ◽  
Cell Geometry ◽  
Registration System ◽  
Barycentric Interpolation ◽  
Novel Approach ◽  
Radial Basis

We propose a novel approach to 3D image registration of intracellular volumes. The approach extends a standard image registration framework to the curved cell geometry. An intracellular volume is mapped onto another intracellular domain by using two pairs of point set surfaces approximating their nuclear and plasma membranes. The mapping function consists of the affine transformation, tetrahedral barycentric interpolation, and least-squares formulation of radial basis functions for extracted cell geometry features. An interactive volume registration system is also developed based on our approach. We demonstrate that our approach is capable of creating cell models containing multiple organelles from observed data of living cells.

scholarly journals A Novel Approach to T2-Weighted MRI Filtering: The Classic-Curvature and the Signal Resilient to Interpolation Filter Masks

2016 ◽  
Vol 8 (1) ◽  
pp. 1-10
Author(s):  
Carlo Ciulla ◽  
◽  
Farouk Yahaya ◽  
Edmund Adomako ◽  
Ustijana Rechkoska Shikoska ◽  
...  
Keyword(s):  
Interpolation Filter ◽  
Novel Approach

scholarly journals Retrieval of Cloud Liquid Water Using Microwave Signals from LEO Satellites: A Feasibility Study through Simulations

Atmosphere ◽  
2020 ◽  
Vol 11 (5) ◽  
pp. 460
Author(s):  
Xi Shen ◽  
Defeng David Huang ◽  
Wenxiao Wang ◽  
Andreas F. Prein ◽  
Roberto Togneri
Keyword(s):  
Liquid Water ◽  
Signal To Noise Ratio ◽  
Low Earth Orbit ◽  
Basis Functions ◽  
Retrieval Algorithm ◽  
Cloud Liquid Water ◽  
Novel Approach ◽  
Communication Links ◽  
Gaussian Basis Functions ◽  
Leo Satellite

A novel approach, using low Earth orbit (LEO) satellite microwave communication links for cloud liquid water measurements, is proposed in this paper. The feasibility of this approach is studied through simulations of the retrieval system including a LEO satellite communicating with a group of ground receivers equipped with signal-to-noise ratio (SNR) estimators, a synthetic cloud attenuation field and a tomographic retrieval algorithm. Rectangular and Gaussian basis functions are considered to define the targeted field. Simulation results suggest that the proposed least-squares based retrieval algorithm produces satisfactory outcomes for both types of basis functions. The root-mean-square error of the retrieved field is around 0.2 dB/km, with the range of the reference field as 0 to 2.35 dB/km. It is also confirmed that the partial retrieval of the cloud field is achievable when a limited number of receivers with restricted locations are available. The retrieval outcomes exhibit properties of high resolution and low error, indicating that the proposed approach has great potential for cloud observations.

scholarly journals Optimal Control of Time-Delay Fractional Equations via a Joint Application of Radial Basis Functions and Collocation Method

Entropy ◽  
2020 ◽  
Vol 22 (11) ◽  
pp. 1213
Author(s):  
Shu-Bo Chen ◽  
Samaneh Soradi-Zeid ◽  
Hadi Jahanshahi ◽  
Raúl Alcaraz ◽  
José Francisco Gómez-Aguilar ◽  
...  
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Collocation Method ◽  
Radial Basis Functions ◽  
Trajectory Optimization ◽  
Basis Functions ◽  
Fractional Equations ◽  
Joint Application ◽  
Novel Approach ◽  
Radial Basis

A novel approach to solve optimal control problems dealing simultaneously with fractional differential equations and time delay is proposed in this work. More precisely, a set of global radial basis functions are firstly used to approximate the states and control variables in the problem. Then, a collocation method is applied to convert the time-delay fractional optimal control problem to a nonlinear programming one. By solving the resulting challenge, the unknown coefficients of the original one will be finally obtained. In this way, the proposed strategy introduces a very tunable framework for direct trajectory optimization, according to the discretization procedure and the range of arbitrary nodes. The algorithm’s performance has been analyzed for several non-trivial examples, and the obtained results have shown that this scheme is more accurate, robust, and efficient than most previous methods.

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