In image processing, the Sobel operator approximates this for the image intensity function.
In image processing, the Sobel operator approximates this for the image intensity function. , it is perpendicular to the level set of a function at any point. In a simply connected region, there exists some function for which this is equal to an irrotational vector field. Each row of the Jacobian matrix is the transpose of this for a function, while the line integral through it is equal to the difference of its scalar field's values at the curve's endpoints. The Laplacian of a scalar field is equal to its divergence, while the curl of it is always zero. FTP, name this vector operator, sometimes denoted "del" or "nabla," which indicates the greatest rate of increase for a scalar field.
In image processing, the Sobel operator approximates this for the image intensity function.
{gradient} [prompt on "del" or "nabla"]