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113 results about "Differential operator" patented technology

In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and returns another function (in the style of a higher-order function in computer science).

Multi-scale finite-volume method for use in subsurface flow simulation

A multi-scale finite-volume (MSFV) method to solve elliptic problems with a plurality of spatial scales arising from single or multi-phase flows in porous media is provided. Two sets of locally computed basis functions are employed. A first set of basis functions captures the small-scale heterogeneity of the underlying permeability field, and it is computed to construct the effective coarse-scale transmissibilities. A second set of basis functions is required to construct a conservative fine-scale velocity field. The method efficiently captures the effects of small scales on a coarse grid, is conservative, and treats tensor permeabilities correctly. The underlying idea is to construct transmissibilities that capture the local properties of a differential operator. This leads to a multi-point discretization scheme for a finite-volume solution algorithm. Transmissibilities for the MSFV method are preferably constructed only once as a preprocessing step and can be computed locally. Therefore, this step is well suited for massively parallel computers. Furthermore, a conservative fine-scale velocity field can be constructed from a coarse-scale pressure solution which also satisfies the proper mass balance on the fine scale. A transport problem is ideally solved iteratively in two stages. In the first stage, a fine scale velocity field is obtained from solving a pressure equation. In the second stage, the transport problem is solved on the fine cells using the fine-scale velocity field. A solution may be computed on the coarse cells at an incremental time and properties, such as a mobility coefficient, may be generated for the fine cells at the incremental time. If a predetermined condition is not met for all fine cells inside a dual coarse control volume, then the dual and fine scale basis functions in that dual coarse control volume are reconstructed.
Owner:CHEVROU USA INC +1

Iris splitting method suitable for low-quality iris image in complex application context

The invention discloses an iris splitting method suitable for low-quality iris images. The prior art can not carry out robust splitting to the low-quality iris image with mass interference and noise. The invention uses a human eye detection algorithm to preliminarily determine a subimage of the human eye and is applied to image splitting based on interdependent histogram and cluster and ellipse Hough conversion to accurately determine the subimage of the human eye; improved Hough conversion is adopted to position the outer contour of the iris and output the integrodifferential operator value CID of a detection result; if the outer contour of the iris is not accurately positioned, parabola approximation is carried out on the image to judge whether the image is an eye-closed image; for the non eye-closed image, complexion information is utilized to re-determine the outer contour of the iris; the palpebra superior is detected by one-dimensional signal detection and parabola integrodifferential operator; the palpebra inferior is detected by one-dimensional signal detection and an RANSAC algorithm; the histogram in the iris is calculated; and a threshold value is found to remove a highly bright spot. The invention is used for iris splitting of low-quality iris image in a complex application context.
Owner:HEILONGJIANG UNIV

Image processing device for defect inspection and image processing method for defect inspection

Provided are an image processing device and the like capable of detecting various kinds of defects which cause various changes in ray paths at the same time with sufficient accuracy. An image processing device (image analysis device) for defect inspection (6) processes image data obtained by temporally continuously shooting formed sheets in motion with an area camera (5), and is provided with a data extraction unit (11), a data storage unit (13), a change amount calculation unit (15), a same part judgment extraction unit (16), and an integrating unit (17). The data extraction unit (11) extracts, for a plurality of different positions on the image data, pieces of line data on the same position from different pieces of image data. The data storage unit (13) chronologically draws up the plurality of pieces of line data for each position on the image data and generates a plurality of pieces of line synthesis image data. The change amount calculation unit (15) performs differential operator computation with respect to the plurality of pieces of line synthesis image data and generates a plurality of pieces of emphasis image data. The same part judgment extraction unit (16) extracts data showing the same part of the formed sheet from the plurality of pieces of emphasis image data. The integrating unit (17) integrates luminance values of the extracted emphasis image data for each pixel and generates image data for defect inspection.
Owner:SUMITOMO CHEM CO LTD

Time domain analysis method for transient response of lossy nonuniform multi-conductor transmission lines

InactiveCN102411647AStable and accurate transient response analysis resultsEliminate OscillationSpecial data processing applicationsTransient analysisElectrical conductor
The invention provides a time domain analysis method for a transient response of lossy nonuinform multi-conductor transmission lines and aims to solve the problem that the coupling among the lossy nonuniform multi-conductor transmission lines interferes with the computation in the field of integrity of electronic circuit signals. The method comprises the following steps of: performing differential dispersion on space differential operators in an electric wave equation; and integrating time differential operators in the electrical wave equation by a trapezoidal integration method to ensure that the oscillation, which is caused by a central difference method, of a computed result can be eliminated effectively, voltage and current transient response waveforms of any point on the transmissionlines can be acquired; and the transient analysis of the transmission lines in a longer time period is effective, the waveforms can be analyzed in a longer duration without large errors, and the coupled transmission lines are not needed to be decoupled when a model of the transmission lines is built. By the method, the computational load is reduced, and the simulation efficiency is improved. The method can be used for analyzing the transient response of the lossy nonuinform multi-conductor transmission lines.
Owner:XIDIAN UNIV

Weak luminescence image processing method based on regional augmentation and regional extraction

InactiveCN101546426AEffective performanceSimple methodImage enhancementImaging processingOriginal data
The invention relates to a weak luminescence image processing method based on regional augmentation and regional extraction in the technical field of image processing. The method comprises the following steps: converting unidimensional original data sequence of a background image and an original weak luminescence image under the lighting condition into a two-dimensional array structure, and carrying out logarithm transformation on the two-dimensional array structure; then removing noise of the weak luminescence image through morphological weighting median filtering, extracting a boundary of the weak luminescence image by a Canny differential operator, and then filling a luminescent region by a boundary closely extracted by a morphological template; obtaining a binary image with a marked luminescent region; checking a luminescent region of the image, and superposing the region onto the background image after pseudo color treatment; adding a marker on the image brightness by an image luminescent illumination calibration method; and finally recording image experimental conditions, image source and other additional information. The invention provides the reliable weak luminescence image processing method and realizes a treating process from inputting original image data sequence to outputting an image result.
Owner:上海基润生物科技有限公司

Wave field separating method and device

The invention provides a wave field separating method and device. The method comprises the steps that variation function values of anisotropy parameter distribution of initial models are calculated and fitted to obtain variation functions of the initial models; the variation functions and a reference point search strategy are utilized for selecting N reference models from the initial models; a vector elastic wave field of a spatial domain is converted into a wave number domain; following operation is carried out on each reference model selected from the N reference models, pseudo differential operators are truncated, the wave field separation is carried out on the wave number domain, the vertical and horizontal wave field is reversely converted into the spatial domain, and the wave field separation results of the reference models are obtained; the variation functions are utilized for calculating the weight coefficients of all the reference models relative to the initial models; weighting interpolation processing is carried out on the wave field separation results of all the reference models in the spatial domain to obtain the wave field separation results of the initial models. According to the method, on the basis of ensuring the accuracy of the wave field separation results, the effect of reducing the calculation amount is achieved.
Owner:INST OF GEOLOGY & GEOPHYSICS CHINESE ACAD OF SCI

Phase determination of a radiation wave field

A method of quantitative determination of the phase of a radiation wave field including the steps of producing a representative measure of the rate of change of intensity of the radiation wave field over a selected surface extending generally across the wave field; producing a representative measure of intensity of the radiation wave filed over the selected surface; transforming the measure of rate of change of intensity to produce a first integral transform representation and applying to the first integral transform representation a first filter corresponding to the inversion of a first differential operator reflected in the measure of rate of change of intensity to produce a first modified integral transform representation; applying an inverse of the first integral transform to the first modified integral transform representation to produce an untransformed representation; applying a correction based on the measure of intensity over the selected surface to the untransformed representation; transforming the corrected untransformed representation to produce a second integral transform representation and applying to the second integral transform representation a second filter corresponding to the inversion of a second differential operator reflected in the corrected untransformed representation to produce a second modified integral transform representation; and applying an inverse of the second integral transform to the second modified integral transform representation to produce a measure of phase of the radiation wave field across the selected plane.
Owner:MELBOURNE UNIV OF THE

Method for detecting component size based on matching pursuit (MP) wavelet filtering and detecting system thereof

The invention discloses a method for detecting component size based on matching pursuit (MP) wavelet filtering. The method comprises the steps of (1), calibrating a charge coupled device (CCD) camera; (2), acquiring a component image and performing MP wavelet filtering on an image; (3), performing differential operator edge detection on the image; (4) performing sub-pixel edge detection on an edge pixel; and (5) calculating the size of the component according to a sub-pixel coordinate to generate computer-aided design (CAD) graph. According to the method, the image of the component is subjected to the MP wavelet filtering, the filtered image is subjected to the sub-pixel edge detection, and the size of the component is calculated and extracted according to the sub-pixel coordinate, so that the detection accuracy can be correspondingly improved, and the detection speed is quickened. The invention discloses a detecting system based on the detecting method. The system comprises an image acquisition unit, an image processing unit and an image generating unit. Because the camera is combined with a personal computer (PC), image acquisition and image processing on components on the production line can be realized, so that the timeliness for detecting the components is guaranteed.
Owner:ZHEJIANG UNIV

Automatic matching system and method of pi-type impedance in radio frequency energy collection circuit

The invention relates to an automatic matching system and method of pi-type impedance in a radio frequency energy collection circuit. The system comprises a sampling comparison module, a logic algorithm control module, and an adjustable impedance matching network. The sampling comparison module is used for consecutively sampling voltages output by a voltage doubling rectifying circuit twice under the control of a differential operator method of the logic control module and comparing the voltages consecutively sampled twice. The logic algorithm control module is used for determining, according to a comparison result of the voltages consecutively sampled twice, a capacitor adjustment direction of a pi-type adjustable capacitor array and adjusting a quantity of adjustable capacitors integrated in the adjustable impedance matching network according to capacitance weights by using a capacitance dichotomy according to the capacitor adjustment direction. The adjustable impedance matching network is used for matching impedances of an antenna and the voltage doubling rectifying circuit according to the quantity of capacitors integrated in the pi-type adjustable capacitor array. The circuit is simple, has extremely low power consumption, consumes energy only in an on and off process, and is applicable to a weak energy collection environment.
Owner:XIDIAN UNIV

Foggy weather image enhancement method based on fractional differential and dark channel prior

The invention discloses a foggy weather image enhancement method based on fractional differential and dark channel prior. The method herein includes the following steps: 1. inputting a foggy weather image I, conducting dark channel prior and Retinex algorithm processing on the I, obtaining an initial de-foggy image J (x,y); 2. segmenting the J (x,y) to a foreground image J1(x,y) and a background J2(x,y); 3. separately computing the optimal fractional differential order number v1 corresponding to J1(x,y) and the optimal fractional differential order value v2 corresponding to J2(x,y); 4. determining a mask coefficient and a mask size, constructing a fractional differential operator mask w (s,t); 5. separately introducing the fractional differential order number v1 and fractional differential order value v2 which are obtained from 3 to the w (s,t), obtaining w1(s,t) and w2(s,t), conducting convolution operation on the pixel points of w1(s,t) and J1(x,y), and conducting convolution operation on the pixel points of w2(s,t) and J2(x,y); and 6. outputting the image of I which after the image enhancement. According to the invention, the method herein addresses poor de-foggy effects which are often caused in the process of enhancing foggy images by using fractional differential algorithm which has single fractional differential order in the prior art.
Owner:XIAN UNIV OF TECH

Blood vessel center line automatic extraction method based on parallel structure detection and clustering

The invention provides a blood vessel center line automatic extraction method based on parallel structure detection and clustering. The blood vessel center line automatic extraction method solves the problems that in a contrastographic picture, the grey level distribution is not even, and due to a large amount of background noise, the vascular structure is hard to extract. The method comprises the steps of utilizing three-order differential operators for calculating the direction of an image border by arranging the position of the detection border of a gradient response operator; combining a curve model on the basis of straight lines, circular curves and Euler spiral lines to build an intrinsic curve bundle of image border points, adopting the intrinsic curve bundle to conduct description of the geometrical features on the image border, and extracting all contours of blood vessels according to the geometrical consistency of the image border; utilizing the parallel features of the borders of the blood vessels for completely detecting two parallel borders of the blood vessels, searching for the positions with the same distance as the two parallel borders, connecting the centers of all the blood vessels, and finally obtaining the center lines of the blood vessels. The method is high in precision, strong in adaptability and suitable for the fields of cardiovascular disease computer-assisted diagnosis and treatment.
Owner:BEIJING INSTITUTE OF TECHNOLOGYGY

An elastic deformation simulation method based on linear differential operator

InactiveCN101216950ATroubleshooting Fast Simulation ProblemsReduce complexityAnimation3D-image renderingEuler–Lagrange equationComputation process
The invention discloses an elastic deformation simulation method based on a linear differential operator. The invention comprises the following steps of using elastic energy based on the linear differential operator defined on the geometric attribute of a deformation gridding model to replace the traditional nonlinear energy based on continuum mechanics, carrying out modeling computation using Euler-Lagrange equation to compute the deformation process of the elastic object in the computer. Meanwhile, according to the calculation model, the invention optimizes the calculation process via further using the techniques of dimension reduction solution, airspace adaptive acceleration, etc, which allows the modeling process to reach the mutual or even real time efficiency and can simulate the elasticity of different materials and the deformation process of plastic objects. The invention reduces the calculation complexity, improves the calculation efficiency of the modeling solution, and keeps the living simulating effect via the model of transform solution based on the deformation energy form of the linear differential operator. The invention solves the rapid simulating problem in the deformation process of the elastic object in the real time or in a mutual virtual simulation system.
Owner:ZHEJIANG UNIV

Generative adversarial network-based remote sensing image fusion method, system and terminal

The invention discloses a generative adversarial network-based remote sensing image fusion method, and the method comprises the steps: employing a difference operator to extract the spatial structureinformation of an original panchromatic image, and sampling the original multispectral image; splicing the spatial structure information and the sampled multispectral image in a feature domain to obtain a sample image; inputting the sample image into a generator of a generative adversarial network to generate a fused image; and inputting the fused image and the real image into a discriminator of the generative adversarial network for discriminating and distinguishing, establishing an adversarial rule and a fusion objective function between the generator and the discriminator, and optimizing the fused image. According to the remote sensing image fusion method based on the generative adversarial network disclosed by the invention, the spatial structure information of the original panchromatic image is reserved by adopting the differential operator, and the spectral information of the original low-resolution multispectral image is reserved by adopting the sampling method, so that the lossof detail information in the fusion process is effectively reduced; in addition, a confrontation rule and a fusion objective function are established between the generator and the discriminator, so that the fusion effect is greatly optimized.
Owner:CHONGQING UNIV OF POSTS & TELECOMM
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