函數的卷積 的英文怎麼說
中文拼音 [hánshǔdejuǎnjī]
函數的卷積
英文
convolution of functions- 函 : 名詞1. [書面語] (匣; 封套) case; envelope 2. (信件) letter 3. (姓氏) a surname
- 數 : 數副詞(屢次) frequently; repeatedly
- 的 : 4次方是 The fourth power of 2 is direction
- 卷 : 卷動詞[書面語] (捲袖子) roll up sleeves
- 積 : Ⅰ動詞(積累) amass; store up; accumulate Ⅱ形容詞(長時間積累下來的) long standing; long pending...
- 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
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For the first time, on the view of algorithm and experimental system, the author analyze all the factors influcing the diagnose accuracy. on the basis of these analyses, " window " and convolving function with the best accuracy are selected, at the same time, the formulas of errors are deduced
在理論分析基礎上,選擇了具有最佳測量精度的窗函數和卷積函數,並對演算法進行了改進,提高了計算精度;對實驗系統各部分對測量精度的影響也進行了定量分析。This method can avoid the repetition and pretermission of integrating interval ( or summarizing interval ), especially in the convolution computation of multi - partition function
該方法能有效地克服積分區間(或求和區間)的重復和遺漏問題,特別是在多分段有值函數卷積的計算中更顯示出其優越性。At first, this paper presents two - demensional quartic convolution interpolation to smooth digital terrain. it is acquired from that it makes use of that the interpolation function of cubic spline interpolation has a continuous third derivative on the base of two - dementional cubic convolution interpolation. two - demensional quartic convolution interpolation is more precise than two - dementional cubic convolution and simpler than cubic spline interpolation in calculation. it can satisfy real - time route planning of ucav
首先,在軌跡規劃前需要對數字地圖進行平滑處理,本文提出了二維四次卷積插值法。它在二維三次卷積插值法的基礎上利用三次樣條插值法的插值函數具有三階連續導數的性質而得來的。Based on the " size " of the set of perturbed minimal points in the variational principle, the differentiability of lower semicontinuous functions is examined by means of approximation of the infconvolution sequence
摘要通過函數的下卷積函數列的逼近方法,在變分原理中從擾動最小值點集的「大小」入手,研究了下半連續函數的可微性。In the terms of interpolation, the image reconstructed from nearest interpolation or linear interpolation has good edge but serious noise ; reconstruction from 4 * 4cubic interpolation or three b - spline or three - order lagrange interpolations has better local character. 2 x 2cubic interpolations which has both better edge and local character is the ideal interpolation, the following is the basic principle during reconstruction : ( 1 ) the more width of interpolation, the more number of summation and the more order of interpolation polynomial, the higher of density resolution ; ( 2 ) the more of interpolation polynomial and width of interpolation, the more of reconstruction time simultaneously, aimed at eliminating the effects of noise contained in projection data, in this paper, author analysis cause and effects of common artifacts. importantly, discusses convolution back - projection reconstruction algorithm with a shift axis of rotation has been derived for correcting images that acquired with a divergence axis of rotation using the fan beam geometry with an angle - equaled detector
在ct圖像重建時,選擇有限帶寬窗有較好的空間解析度,三角形窗有較好的密度解析度,選擇餘弦窗則使得空間解析度與密度解析度的折衷;從窗函數的頻譜角度來講,可以用於圖像重建的一個良好的卷積窗函數應該具備以下條件: ( ? )小的3db帶寬b ,即最小的主瓣寬度; ( ? )最小的旁瓣最大峰值a ; ( ? )最大的旁瓣峰值衰減速度d ;就內插函數而言,臨近點內插與線性內插重建圖像噪聲大,但有較好的邊緣與細節; 4 4三次內插、三次b -樣條與四次拉格朗日多項式內插圖像平滑,局部特性較好。In guarding the continuity of derivative and not increasing supported assemble, this paper uses convolution of daubechies and b - spline scale functions to improve original method
在保證導數的連續性和不增加支集長度的前提下,採用daubechies尺度函數與b ?樣條尺度函數的卷積對原方法進行了改進。This paper analyses deterioration model of bar code signals after the point spread function convolution, and presents two kinds of recognition algorithm in correspondence to different bluring degrees of bar code signal : one based on midpoints detection and the other based on waveform analysis
分析了條碼信號經過點擴展函數卷積后的降質模型。針對條碼信號模糊程度的不同,提出兩種識別方法:基於中點檢測的條碼識別方法和基於波形分析的條碼識別方法。The theoretical results showed that point spread function ’ s distribution and the stray light mainly influenced the space resolving power and the measurement precision of the temperature measurement system, so we supposed some methods, which can improve the space resolving power, and the results proved the space resolution improved from 37 m to 16 m. 2. having made the space resolution come to 16 m, in order to improve the space resolving power more, we used image reconstruction method to reconstruct the
利用這兩種方法,可以將測得的溫度場分佈中被點擴展函數卷積鈍化掉的部分復原回來,實驗測得微小面元溫度分佈在復原后溫度最高值高於復原前最高值,且分佈曲線變窄,較好地提高了系統的空間分辨能力,最終得到真實溫度分佈的最佳估計。Based on that, author applies a simple algorithm of restoration : counter - filter method, this algorithm is designed according to theory that the fourier transfer of two function ' s convolution is equal to multiply of two function ' s fourier transfer
在此基礎上,應用了一種簡明的復原演算法:逆濾波器法,主要根據兩函數卷積的傅立葉變換等於各個函數傅立葉變換的乘積這一原理而設計。Under the condition of space moving changed system and the engineering practice, a function of the pixel dimension, the mtf of ccd sensor imaging, the width of target strip and the image motion has been acquired 4. under the condition of one pixel image motion and the nyquist frequencies, adopting the convolution method, the ratios of the mtf with image motion to the idea mtf are 0. 667
這樣就為在工程實際中,在空間移變條件下,求取了ccd探測器影像的mtf 、像元尺寸、影像分辨力和像移量四者之間的一個簡潔的函數關系:材了萬二1一( 2 + n一m ) 2 ? o4n4 .採用模擬的方法和採用卷積方法的比較。In this paper, the author attempts to discuss two main problems of convolution back projection algorithm basing on fan - beam scanning
本文主要探討了卷積反投影演算法的兩個核心問題:卷積窗函數與內插函數。In the part of window, a best window must own the following character : ( 1 ) the smallest band - width in the place of 3db, as well as main - lobe width ( 2 ) the biggest side - lobe peak - value of must be as possible as small
就窗函數而言,引入實驗的七種窗函數中,有限帶寬、三角形窗以及餘弦窗是卷積窗函數比較理想的選擇。5. by applying our recurrence method of decreasing order, we obtain the close formulas of convoluted summations for generalized fibonacci - lucas numbers, euler numbers and genocchi numbers etc. furthermore, we obtain the computed formulae of the higher - order cumulants for a class of the lattice animal and some identities for riemann zeta functions and beta functions. 6
建立降階遞歸法,並用這種方法得到廣義fibonacci - lucas數、 euler數、 genocchi數等的多重卷積求和的封閉公式,進而得到了若干riemannzeta函數與beta函數的恆等式以及一類latticeanimals的高階累積量的計算公式。Thus the resistance factor and vibration modes of the soil layer are obtained and used to analysis the pile response. by considering the interaction between the soil layer and the pile with boundary condition of continuity of displacement and equilibrium of force at the interface of soil layer and pile, the dynamic equilibrium equation of pile is solved and an analytical solution for the pile response in frequency domain is yielded, which is used to define complex stiffness and mobility at the level of the pile head. based on the convolution theorem and inverse fourier transform, a semi - analytical solution of velocity response in time - domain subjected to a semi - sine exciting force is given
首先通過引入勢函數方法對土體位移進行分解,從而將土體動力平衡方程解耦,求解得到了土層的振動模態和阻抗因子,然後利用該解以小應變條件下樁土接觸面上力平衡和位移連續條件來考慮樁土耦合作用,求解樁的動力平衡方程,得到了樁頂的頻域響應解析解、復剛度和速度導納,利用卷積定理和傅里葉逆變換,求得了半正弦脈沖激振力作用下樁頂速度時域響應半解析解。These models require, in general, the rates of and energy released in nuclear reactions occurring in astrophysical environments
而這些模型需要巨量的數據輸入,其中主要的是天體核反應率(粒子運動速度的分佈函數與截面的卷積) 。Beginning with stylized facts of economy dynamic development and based on frontier production function, the paper constructs one theoretic frame to analyse leapfrogging - onented economic growth, which comprises three constituents : capital accumulation, efficiency enhancement and technology innovation, and illustrates function principle of each leapfrogging type and its dynamic transition
本文從世界經濟發展動態畫卷中興衰交替、后來居上的「典型化事實」 ( stylizedfacts )出發,以前沿生產函數( frontierproductionfunction )為切入點,構建了一個包括「資本積累? ?效率增進? ?技術創新」三要素的蛙跳型經濟增長的理論分析框架,並對每一種蛙跳型式的運行機理及其動力轉換進行了闡釋。We give the analysis of the fundamental maximum function, by twice integrating a core function and find four type smoothing approximations for it through convolution. we continue to find the smoothing approximations of general maximum function. at last we propose the parametric smoothing approximations of the original problem
先選擇適當的核函數,再利用卷積理論得到可以替代最簡單的最大值函數的光滑函數;再進一步找到替代一般的最大值函數的光滑函數,最後解決本文要解決的非光滑優化問題。Convolution of distributions
廣義函數的卷積Convolution of functions
函數的卷積Convolution of generalized function
廣義函數的卷積分享友人