41. This definition of the Laplacian is commonly used in numerical analysis and in image processing. 42. This GIF shows the progression of diffusion, as solved by the graph laplacian technique. 43. The trace of Hessian matrix is identical to the Laplacian of Gaussians ( LoG ): 44. With the laplacian \ textstyle \ nabla ^ 2 taken in respect to actual space. 45. One can also obtain the Laplacian . 46. The quality of this approximation depends on the second smallest eigenvalue of the Laplacian ? 2. 47. In the special case when p = 2, this operator reduces to the usual Laplacian . 48. This is a general fact about elliptic operators, of which the Laplacian is a major example. 49. While the Laplacian nebular model dominated in the 19th century, it encountered a number of difficulties. 50. This technique is fairly popular in a variety of fields and is known as the graph laplacian .
