156 results about "Approximation function" patented technology

A computer-implemented method is disclosed. The method includes collecting cache-efficiency-indicator values of an at least one cache fragment during operation of a database system over a period of time. Providing approximation-function-parameter values for the collected, cache-efficiency-indicator values, an approximation function representing a relation between a cache-efficiency-indicator and the size of a respective cache fragment. The method continues by providing a set of workload windows based on the approximation-function-parameter values. Next, providing a workload-window information for the set of workload windows, the workload-window information including at least one approximation-function-parameter value representing each determined workload window. The method further includes storing the workload-window information for a comparison based on current, cache-efficiency-indicator values and the workload-window information.

A control device for an electric power steering apparatus, which controls a motor based upon a steering assist instruction value calculated in a steering assist instruction calculating section based upon a steering torque generated in a steering shaft and a current control value calculated from a current value of the motor for applying a steering assist force to a steering mechanism, and has a gain curve of characteristics of the entire control system having the steering assist instruction value as its input, which at least partially possesses a gradient exceeding a predetermined value, and in this arrangement, the steering assist instruction value calculating unit is composed of an approximation functional expression in which at least one-step derived functions are continuous, and the steering assist instruction value is found through calculations based upon the approximation functional expression. It is possible to provide a control device which can achieve a continuous, pleasant sense of steering by providing the steering assist instruction value as a continuous function.

At least two registration marks are formed for each of the reproduction colors cyan, magenta, yellow, and black. Each of the marks for each color is formed at a different position in the main scanning direction. Each position of the marks is detected, and the deviation is obtained for each color from the detection result. Using the obtained deviations, a correction approximation function is formulated that is used for determining writing positions for pixels of an image. In accordance with the correction approximation function, an image writing position at which an image forming unit starts writing is corrected, so that color deviations caused from various factors can be prevented.

To precisely measure bead cutting shapes of electric resistance welded pipes without being affected by difference in luminance level between cut and uncut portions in optical cutting images, an image is obtained by overlaying an optical cutting image with the optical cutting image subjected to thinning processing. A profile of the welded pipe is approximated with a quadratic function and a region containing the bead apex coordinates is identified as the bead. Shape data of the pipe surface at the portion corresponding to the bead portion is obtained from the preset left and right boundaries of the bead portion and the apex position of the separately-calculated bead portion, and bead width, height, slope angle, and unevenness at the left and right boundaries between the bead portion and base pipe portion, are each calculated, based on the left and right bead shape approximation functions and base pipe shape approximation function.

In a multi-angle calorimeter having an illumination system that illuminates a sample surface and a plurality of light receiving systems that receive reflected light therefrom, an illumination system for orientation error detection is provided that illuminates the sample surface from substantially close direction to the normal of the sample surface. Actual measured reflectance factor is corrected based on the specific approximation function obtained from the measured reflectance factor and detected orientation error.

Methods and systems for predicting electromagnetic scattering are disclosed. In one embodiment, a method includes covering at least a portion of an analytical model of a target with computational cells, and formulating a plurality of approximation functions. The formulating of the approximation functions includes simplifying a set of method of moments equations based on Kirchhoff's first law to provide an impedance matrix multiplied by a solution vector equated with a right hand side vector. A plurality of boundary conditions are established for the plurality of approximation functions, and the plurality of approximation functions are solved for the solution vector. The impedance matrix is deflated by a sparse transformation determined by the geometry of the scatterer, independent of material properties and frequency, subsequently reducing the computational complexity of the scattering calculation.

The invention discloses a human face beautifying method based on non-supervision optimal beauty features and a depth evaluation model. Apparent features extracted with the CDBN are used for establishing the human face beauty depth evaluation module, the optimal human face beauty features are studied through a non-supervision cluster and a beauty approximation function, and therefore human face sample images are beautified under the guidance of the human face beauty depth evaluation model by utilizing the features and a geometric deformation mode. After different samples to be beautified are beautified by the human face beautifying method, human faces of different beautiful styles can be obtained, so that the aesthetics of the human faces cannot be excessively single, diversity of beauty is embodied, and different requirements for aesthetics of different people are met. Meanwhile, based on the reasonable beauty attraction approximation function, it can be ensured that the human face images cannot be beautified into human faces of other types, and the basic features of the human face images can be reserved.

A dimensionality reduction method and system for efficient color transform compression is disclosed. A multi-dimensional color transform with an n-dimensional input color space can be received. A projection operator can be derived and applied to the n-dimensional input color space to form a k-dimensional input color space. A functional approximation can be designed to the n-dimensional input color space and can be evaluated on the k-dimensional input color space to form an m-dimensional output color space. The projection operator and the approximation function can be combined to form a compressed transform by mapping the n-dimensional input color space to m-dimensional output color space. Such an approach provides a significant reduction in size of the color profile with respect to storage and speeds-up real-time computation.

A camera according has an interchangeable lens unit removably attached to a camera body, and an image-generating processor that generates image data of a subject captured by the lens unit. A memory provided in the lens unit stores distortion data. The distortion data is associated with an approximation function, which represents the correspondence relationship between image height and distortion aberration. The distortion data includes at least one of: coefficient data of the approximation function, and sample data of the image height and the corresponding distortion aberration. Furthermore, the camera has an approximation function processor that defines an approximation function used to process the image data on the basis of the distortion data read from the memory, and a distortion correction processor that carries out distortion correction processing on the image data based on the aberration distortion calculated for each image point by the defined approximation function.

A method, system, and computer readable medium for identifying local patterns in at least one time series data stream are disclosed. The method comprises generating multiple ordered levels of hierarchal approximation functions. The multiple ordered levels are generated directly from at least one given time series data stream including at least one set of time series data. The hierarchical approximation functions for each level of the multiple levels is based upon creating a set of approximating functions. The hierarchical approximation functions are also based upon selecting a current window with a current window length from a set of varying window lengths. The current window is selected for a current level of the multiple levels.

The invention relates to a fractional order electromagnetic anomalous diffusion three-dimensional simulation method of rational function approximation, and aims at calculating three-dimensional time-domain induction-polarization double field response of a fractional order Cole-Cole model. The method mainly comprises the steps of establishing a Cole-Cole model fractional order transfer function andan n-odrer rational approximation function based on a frequency domain rational function approximation method, and making the sum of the real part and the imaginary part of an error function as a target function; achieving linearization of the target function through an instrumental variable technique, and obtaining an optimal approximation rational function by adopting a linear programming approach; obtaining a time-domain mode of a conductivity by adopting a partial fraction expansion method and inverse laplace transformation; putting the time-domain mode in a Maxwell equation, deducing aniterative equation of an electromagnetic field based on a finite difference method, and achieving fractional order Cole-Cole model three-dimensional electromagnetic response value calculation. The fractional order electromagnetic anomalous diffusion three-dimensional simulation method of the rational function approximation has the advantages of fast and accurately simulating the fractional order Cole-Cole model three-dimensional time-domain electromagnetic response and providing theoretical foundation for research on abnormal electromagnetic diffusion in a polarization medium.

In road white line recognition apparatus and method, a road extended in a forward direction of a vehicle is photographed through a photographing device, a deflection luminance information when a luminance information of an image photographed by the photographing device is represented by a luminance information that a surface of the road naturally has and the deflection luminance information from which the luminance information that the road surface naturally has is excluded is detected on the basis of an approximation function obtained by approximating the luminance information of the photographed image to a horizontal direction of the photographed image, a normalized luminance information is detected by removing the deflection luminance information from the luminance information of the photographed image, and a road white line is detected on the basis of the normalized luminance information.

A life prediction apparatus for an electrical storage device, which has a life predictor, includes: an operation controller for life prediction that controls operation of the electrical storage device; a data collector that collects measurement data with respect to a plurality of operation conditions and calculates and successively accumulates evaluation characteristics; a data analyzer that creates a regression formula representing a relationship between the evaluation characteristic and an operation time by curve fitting, with an appropriate approximation function, the accumulated evaluation characteristic data; and a life prediction formula creator that creates a life prediction formula for calculating a predicted value of the evaluation characteristic under random operation conditions on the basis of the regression formula.

The present invention suppresses decreases in the volumes of the patterns which have been formed on the surfaces of semiconductor samples or of the like, or performs accurate length measurements, irrespective of such decreases. In an electrically charged particle ray apparatus by which the line widths and other length data of the patterns formed on samples are to be measured by scanning the surface of each sample with electrically charged particle rays and detecting the secondary electrons released from the sample, the scanning line interval of said electrically charged particle rays is set so as not to exceed the irradiation density dictated by the physical characteristics of the sample. Or measured length data is calculated from prestored approximation functions.

This image blur correction device is provided with: a blur correction unit for correcting image blur by moving a lens included within an optical system in a perpendicular direction with respect to the optical axis, or by moving an imaging element over the imaging plane; a blur detection unit for detecting the amount of change in orientation of the imaging device; a holding unit for holding three or more amounts of change in orientation detected at different points in time; a prediction unit for calculating a predicted value of change in orientation subsequent to a predetermined time, on the basis of an approximation function based on temporal change of the amount of change in orientation, on the basis of three or more amounts of change in orientation; a blur level calculation unit for calculating an image blur level on the basis of the predicted value; and a drive control unit for calculating, on the basis of the image blur level, an amount of movement of the lens or the imaging element by the image blur correction unit.

A system, method and memory medium for operating on an electrocardiogram (ECG) signal. A multiscale short-time Fourier transform (STFT) is perform on a set of ECG samples {s(n)} to obtain a transform array. For each sufficiently energetic peak in the transform array, a refined window width value and a refined window displacement value is generated by: computing an inner product between the set of samples and each of a plurality of functions, where the plurality of functions are sufficiently close to a coarse approximation function given by the peak location; and solving a linear system Av=c for the unknown vector v, where the vector c is determined by the inner products, where the matrix A is determined by the center times of the plurality of functions. After appropriate selection, the refined window width and refined window displacement may be used to represent ECG waveform features.

The present invention relates to an image processing device and method, and a program, capable of obtaining processing results which are even more accurate and even more precise as to events in the real world, taking into consideration the real world where data has been acquired. In the event that the light signal in the actual world 1 represented with the light signal function F has predetermined continuity, the actual world estimating unit 102 estimates the light signal function F by approximating the light signal function F with a predetermined approximation function f using weighting provided in accordance with importance to the pixels within an input image (image data including continuity of data corresponding to continuity) from the sensor 2, and data continuity information (data continuity information corresponding to continuity of the input image data) from the data continuity detecting unit 101. The present invention can be applied to an image processing device.

The invention discloses a battery SOC (state of charge) estimation method based on polarization voltage recovery characteristics. The method comprises two parts: analysis of battery polarization voltage characteristics and SOC estimation based on polarization voltage recovery characteristics, wherein in the first part, based on the battery standing voltage curves under different battery SOC, the battery residual polarization voltage in different standing time is extracted, the maximum battery voltage deviation allowable at the SOC error of 3% or below is derived from the OCV-SOC curve, and theminimum standing time for eliminating polarization voltage under different SOC is obtained while guaranteeing the SOC error of 3%; in the second part, according to the battery minimum standing time under different SCO of the same-batch batteries and the law of aging with time, a response surface model is adopted as an approximate model, and an accurate approximation function relationship is obtained in a local scope by using a few data points, so as to obtain the minimum standing time that guarantees the SOC error being within 3% in the whole life cycle of the battery; corresponding battery SOC is estimated according to whether the standing time reaches the minimum standing time.

A first order function generation circuit receives a signal from a temperature sensor circuit, and generates a fist order function control signal V1 that is affected by the ambient temperature. A fourth order and fifth order approximation function generation circuit receives signals from the temperature sensor circuit and from the third order approximation function generation circuit, and generates a fourth and fifth order approximation function control signal V45 that is affected by the ambient temperature. A peak change point adjustment circuit outputs a signal to adjust the value of a peak change point temperature Ti for the third order approximation function generation circuit, the first order generation function circuit and the fourth order and fifth order approximation function generation circuit. A temperature compensation circuit adds together control signals V0, V1, V3 and V5, and outputs the resultant signal Vc.

The invention discloses an instance-based learning multi-Agent cooperation crowd evacuation simulation method and device. Sufficient path information samples are acquired through real videos and simulation, and original path information is extracted. Scene information is extracted according to the scene, and region segmentation is performed on the scene information so as to construct a scene information base. The knowledge path is segmented in a way of being corresponding to the scene region segmentation situation, and an original local path information base is constructed. Pedestrians are matched with the scene information database, the groups are divided according to the similarity and each group is guided by the guide Agent. The guide Agent is matched with the local path information base, and an approximation function is established and the local path is ensured to be optimal. Scene local path information exchange is realized by using the information interaction cooperation function in the multi-Agent system. The isomorphic instance is constructed by using interaction information through analogical learning and path selection is optimized. The path information drives the guide Agent, and the low-level motion of the Agent of the same group is driven by the social force model until all the pedestrians in the scene are evacuated to the safe location and the process is ended.