什么是图像渐变? [英] What is an Image Gradient?

问题描述

我目前正在学习 Seam Carving (又名 Content Aware Resizing )的工作.

I am currently, learning the working of Seam Carving aka Content Aware Resizing.

接缝雕刻涉及计算图像中每个像素的能量.可以使用几种方法来计算能量，其中一种是 Gradient Magnitude (图像梯度).

Seam Carving involves calculation of Energy of Each individual pixel in an image. Where the Energy could be calculated using several methods, one of which being Gradient Magnitude (Image Gradient).

我以前使用过 Sobel滤波器/运算符，它涉及在 X 和 Y 方向上的梯度的计算，这两个方向的输出用于查找边缘.但是，我不确定渐变是什么.

I have previously used Sobel Filter/Operator, which involves calculation of gradients in X and Y direction, where the output of the two is used for finding edges. But, I am not quite sure what a Gradient is by definition.

PS:-我阅读了图像渐变>但显然无法理解.

P.S.:- I read the Wikipedia page of Image Gradient but was unable to understand it, clearly.

推荐答案

使用Sobel，您已经在x和y方向上计算了导数.

With Sobel you have computed the derivatives in the x and y directions.

这两个派生词一起形成 gradient .即，梯度在每个像素处具有两个值(2D矢量).因为我们每个像素都有一个向量，所以我们有一个 vector字段.

These two derivatives together form the gradient. That is, the gradient has two values (a 2D vector) at each pixel. Because we have a vector at each pixel, we have a vector field.

该梯度给出了每个点的强度和倾斜方向.梯度的大小给出了边坡强度.

The gradient gives the strength and the direction of the slope at each point. The magnitude of the gradient gives the slope strength.

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