image interpolation and extrapolation

... 112 Chapter Interpolation and Extrapolation relation exactly analogous to equation (3.1.3) for polynomial approximation: ... through m and (the term R(i+1) (i+m−1) in equation 3.2.3) m−1 points It is started with (3.2.4) Ri = yi and with (3.2.5) R ≡ [Ri(i+1) (i+m) with m = −1] = Now, exactly as in equations (3.1.4) and (3.1.5) ... ya[], int n, float x, float *y, float *dy) Given arrays xa[1 n] and ya[1 n], and given a value of x, this routine returns a value of y and an accuracy estimate dy The value returned is that of the...

Ngày tải lên: 17/10/2013, 22:15

... 114 Chapter Interpolation and Extrapolation where A≡ xj+1 − x xj+1 − xj B ≡ 1−A = x − xj xj+1 − xj (3.3.2) y = Ayj + Byj+1 + Cyj + Dyj+1 (3.3.3) where A and B are defined in (3.3.2) and C≡ (A − ... independent variable x in equations (3.3.3) and (3.3.4) is entirely through the linear x-dependence of A and B, and (through A and B) the cubic x-dependence of C and D We can readily check that y is ... −1) 116 Chapter Interpolation and Extrapolation } It is important to understand that the program spline is called only once to process an entire tabulated function in arrays xi and yi Once this...

Ngày tải lên: 20/10/2013, 17:15

... (North America only),or send email to trade@cup.cam.ac.uk (outside North America) (a) Interpolation and Extrapolation 3.4 How to Search an Ordered Table 119 } If your array xx is zero-offset, ... supply much shorter xx and yy arrays, of length m How you make the connection? The solution: Calculate k = IMIN(IMAX(j-(m-1)/2,1),n+1-m) (The macros IMIN and IMAX give the minimum and maximum of two ... §1.2 and Appendix B.) This expression produces the index of the leftmost member of an m-point set of points centered (insofar as possible) between j and j+1, but bounded by at the left and n...

Ngày tải lên: 20/10/2013, 17:15

... x2a[k])/(x2a[k+1] − x2a[k]) (3.6.4) (so that t and u each lie between and 1), and y(x1 , x2) = (1 − t)(1 − u)y1 + t(1 − u)y2 + tuy3 + (1 − t)uy4 (3.6.5) Bilinear interpolation is frequently “close enough ... phi,ff,b,*s; 122 Chapter Interpolation and Extrapolation polint uses dimensions [1 n] We Find the remaining xi of smallest absolute value, (meanwhile reducing all the terms) and eliminate it } If the point ... free_vector(x,0,n); 123 3.6 Interpolation in Two or More Dimensions 3.6 Interpolation in Two or More Dimensions ya[j][k] = y(x1a[j], x2a[k]) (3.6.1) We want to estimate, by interpolation, the function...

Ngày tải lên: 24/10/2013, 15:15

... arrays x1a[1 m] and x2a[1 n] of independent variables, and a submatrix of function values ya[1 m][1 n], tabulated at the grid points defined by x1a and x2a; and given values x1 and x2 of the independent ... taste (and trade-off between time and memory) as to how much of this process one wants to precompute and store Instead of precomputing and storing all the derivative information (as in bicubic interpolation) , ... gradients, and cross derivative at the four grid points of a rectangular grid cell (numbered counterclockwise from the lower left), and given d1 and d2, the length of the grid cell in the 1- and 2-directions,...

Ngày tải lên: 07/11/2013, 19:15

... Chapter Interpolation and Extrapolation f(x, y, z) Multidimensional interpolation is often accomplished by a sequence of one-dimensional interpolations We discuss this in §3.6 CITED REFERENCES AND ... well-behaved everywhere except at x = π, very mildly singular at x = π, and otherwise takes on all positive and negative values Any interpolation based on the values x = 3.13, 3.14, 3.15, 3.16, will ... your calculator.) Because pathologies can lurk anywhere, it is highly desirable that an interpolation and extrapolation routine should provide an estimate of its own error Such an error estimate...

Ngày tải lên: 21/01/2014, 18:20

... free_vector(d,1,n); free_vector(c,1,n); 3.2 Rational Function Interpolation and Extrapolation 111 3.2 Rational Function Interpolation and Extrapolation Ri(i+1) (i+m) = p + p1 x + · · · + pµ x µ Pµ ... 4-point interpolation on the tabulated values xx[15 18], yy[15 18] For more on this, see the end of §3.4 CITED REFERENCES AND FURTHER READING: Abramowitz, M., and Stegun, I.A 1964, Handbook of ... (outside North America) P23 110 Chapter Interpolation and Extrapolation float *c,*d; } Quite often you will want to call polint with the dummy arguments xa and ya replaced by actual arrays with...

Ngày tải lên: 26/01/2014, 15:20

... gọi tam giác Maxell Ta chuyển từ hệ toạ độ màu hệ toạ độ x-y-z 2.2 Lấy mẫu lợng tử hoá (Image Sampling and quantization) Yêu cầu xử lý ảnh máy tính đa ảnh dạng biểu diễn số thích hợp, nghĩa ảnh ... pháp đợc minh hoạ qua hình 2-6 trang bên Lý thuyết mẫu hoá chiều - ảnh với dải giới hạn (Band limited Images) Một hàm f(x,y) gọi dải giới hạn khai triển Fourier F(1, 2) bên miền bao (hình 2.5) ... màu cục - Dữ liệu ảnh Phần mô tả lặp n lần ảnh chứa n đối tợng Header Image (10 byte) Palete of Imge 1(nếu có) Data of Image ' ,' ký tự liên kết ';' GIF terminator Phần đầu cuối ảnh GIF(terminator)...

Ngày tải lên: 27/08/2012, 10:19

... of the function better than spline Polynomial multiplication and division (convolution and deconvolution) are performed by the conv and deconv functions MATLAB also has a built-in fast Fourier ... closed form, and the last example cannot be solved by int at all It can only be computed numerically, with quad 121 The function f provided to quad and quadl must operate on a vector x and return ... of the vector An optional fourth argument to quad and quadl modifies the error tolerance Double and triple integrals are evaluated by dblquad and triplequad Arrayvalued functions are integrated...

Ngày tải lên: 29/09/2013, 22:20

Ngày tải lên: 01/11/2013, 17:20

... linear interpolation between rotation quaternions (called Lerp for linear interpolation) For q0 q1 H and h 1] this interpolation curve can be stated: Lerp(q0 q1 h) = q0 (1 ; h) + q1h (6.3) The interpolation ... 6.2 and 6.3) we must emphasize that this does not mean that the interpolations are alike The illustration for LinMat is the result of a series of transformations and not a true image of the interpolation ... angular velocity graphs and the interpolation curves The interpolation methods are described in section we only describe properties of the resulting visualizations here The interpolation is performed...

Ngày tải lên: 17/03/2014, 12:20

... opposed to classes) (Whittaker and Woodland, 2001; Emami and Jelinek, 2005; Uszkoreit and Brants, 2008) In this work, we use the Brown type of model: it is simpler and has fewer parameters Models ... recognition engines In Michael Grimm and Kristian Kroschel, editors, Robust Speech Recognition and Understanding, pages 301–318 I-Tech Education and Publishing Imed Zitouni and Qiru Zhou 2008 Hierarchical ... speech recognition (Yokoyama et al., 2003), sentiment analysis (Wiegand and Klakow, 2008), and question answering (Momtazi and Klakow, 2009) Classes have also been shown to improve the performance...

Ngày tải lên: 23/03/2014, 16:20

... Chapter is with [4], Chapter and 10 are with [2] and [6] Knowledge Discovery and Data Mining Overview Chapter Image Presentation This chapter considers how the image is held and manipulated inside ... I max  I I max  I where Imax and Imin are the maximum and minimum intensities of a region or image High-contrast images have large regions of dark and light Images with good contrast have a ... image in the frame store Recursion  for every new image, multiply of the frame store by (n1)/n and the new image by 1/n, add them together and put the result back to the frame store 2.3.4 AND/ OR...

Ngày tải lên: 02/04/2014, 00:33

... metrics Basic color image processing: 4.1 Color image quantization 4.2 Color image filtering 4.3 Color image enhancement Color image segmentation Color image analysis 6.1 Color features 6.2 Color ... Color image processing & analysis 4.3 Color image enhancement (4) SSIP’08 – Vienna, Austria Color image processing & analysis Color image segmentation • • Segmentation = partition the image in ... Austria Color image processing & analysis Color image analysis • Analysis – image content interpretation, far beyond processing & segmentation: Image preprocessing U Identification and selection...

Ngày tải lên: 24/04/2014, 13:36

... multispectral and hyperspectral sensors, and three-dimensional sensors Image recognition and classification is considered an extremely useful and important resource available to military personnel and operations ... new and improved capabilities for high-speed accurate image recognition and classification This book presents important recent advances in sensors, image processing algorithms, and systems for image ... Multiband Infrared Imagery Lipchen Alex Chan, Sandor Z Der, and Nasser M Nasrabadi Passive Infrared Automatic Target Discrimination Firooz Sadjadi Recognizing Objects in SAR Images Bir Bhanu and...

Ngày tải lên: 28/04/2014, 09:52

... (image- >imageData+i *image- >widthStep)[j *image- >nChannels+0] + (image- >imageData+i *image- >widthStep)[j *image- >nChannels+1] + (image- >imageData+i *image- >widthStep)[j *image- >nChannels+2])/3; (image- >imageData+i *image- >widthStep)[j *image- >nChannels+0] ... IplImage *image = 0; Chapter ■ Practical Aspects of a Vision System image = cvLoadImage(˝C:\AIPCV \image1 .jpg˝, ); if( image ) { cvNamedWindow( ˝Input Image , ); cvShowImage( ˝Input Image , image ... (i=0; i height; i++) for (j=0; j width; j++) { k= (image- >imageData+i *image- >widthStep) [j * image- >nChannels + 0]; if (k < mean) k = 0; else k = 255; (image- >imageData+i *image- >widthStep)[j *image- >nChannels+0]...

Ngày tải lên: 28/04/2014, 15:47

... camera images Digital cameras generally include dedicated digital image processing chips to convert the raw data from the image sensor into a color-corrected image in a standard image file format Images ... from image data for the purpose of making a medical diagnosis of a patient Generally, image data is in the form of microscopy images, X-ray images, angiography images, ultrasonic images, and tomography ... resulting image data is an ordinary 2D image, a 3D volume, or an image sequence The pixel values typically correspond to light intensity in one or several spectral bands (gray images or colour images),...

Ngày tải lên: 05/06/2014, 11:40

... 1931 and later, it was further extended in 1964 [2] The major components include standard colorimetric observers, or colour matching functions, standard illuminants and standard viewing and illuminating ... matching technique; Helson et al [19], Lam and Rigg [20] and Braun and Fairchild [21] using the memory matching technique; and Luo et al [22, 23] and Kuo and Luo [24] using the magnitude estimation ... Finland, Joensuu, Finland School of Engineering, Monash University Sunway Campus, Selangor, Malaysia e-mail: jussi@monash.edu C Fernandez-Maloigne (ed.), Advanced Color Image Processing and Analysis,...

Ngày tải lên: 05/06/2014, 11:57