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1. The Laplacian in the columnar and spherical coordinates is deduced by using the derivative principle of the multivariable functions.

2. It is composed of nonsubsampled Laplacian pyramid and nonsubsampled directional filter banks.

3. The conventional complex diffusion algorithm uses the iterative imaginary part(Laplacian of the Gaussian kernel) to control the diffusion process.

4. Image segmentation algorithm procedure,[sentencedict.com] using Prewitt operator implementation Laplacian operator are examples of implementation.

5. In this paper, we discuss Laplacian smoothing and modified methods, mean curvature flow, PDE method and the smoothing method based on directions.

6. So we can use the convolution of Laplacian operator to compute the gradient descent.

7. Actually, the method of laplacian sharpening can enhance the image edge as well as improve the residual noise in the smoothed image.

8. These blocks for precise matching were selected by Laplacian transformation of reference image.

9. In the contourlet transform, the image obtained by Laplacian Pyramid(LP) decomposition may produce artifacts on singularity of signal(sentencedict.com), which is harmful to image denoising.

10. Laplacian, gradient, and Jacobian operators are just three examples of Blitz's stencil functions.

11. It is obtained from the experimental result that Laplacian sharpening is more valid in image sharpening for infrared image of warship targets in sk...

12. u Let me call it constant k times something I will call del squared u, which is also called the Laplacian of u, and what is that?

13. In the paper we determine the weighted cycles with the signless Laplacian matrix in the set of all weighted cycles with order nand positive weight set.

14. The wavelet coefficients of signals have highly non-Gaussian statistics that may be modeled with generalized Laplacian distributions.

15. The algorithm is based on feature matching, and the so-called features mean zero-crossing points detected with various sizes of Laplacian of Gaussian operators.

16. Section four, We give the estimate of Dirac - Laplacian operator's eigenvalue gap on some restricted conditions.

17. A geometric structure representation of images based on the angle between spectral coefficient vectors of Laplacian graph was proposed. Graph clustering of spectral features was also investigated.

18. To solve this problem we have implemented the texture progressive transmission with the classic Laplacian pyramid algorithm and the Haar transform algorithm.

19. The operator in parentheses in (3. 54) is. called the Laplacian operator.

20. The original image is first processed with the average filter and the Laplacian operator, then the obtained image is further processed with the histogram equalization method.

21. Named for Pierre-Simon Laplace, the equation states that the sum of the second partial derivatives (the Laplace operator, or Laplacian) of an unknown function is zero.

22. Third, the edge of the achieved pictures is checked with Laplacian operator.

23. In this paper we propose so-called coupled 4-point difference schemes for the Laplacian operator over a class of parallel hexagon partitions of the plane.

24. Two edge detection operators of second derivative model, the discrete Laplacian of Gaussian (DLOG) and Laplacian of binomial distribution (LOB) operators are introduced in this paper.

25. After some problems about feasibility in realization are analyzed, Laplacian sharpening is considered feasible.

26. Among all the multiscale geometric analyzing tools available, both Contourlet transform and Surfacelet transform are constructed based on directional filter banks (DFB) and Laplacian Pyramid (LP).

27. The experimental results demonstrate that the MSE (mean square error) reduced by this proposed approach decreases 30%- 60% than that by Laplacian pyramid and discrete wavelet transform approaches.

28. The Navier- Stokes (N-S) equations of Lagrangian form are solved and the SPH formulations are applied to discretize the gradient, divergence and Laplacian terms in the N-S equations.