Java 规范化数组是什么意思？
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What does it mean to normalize an array?
提问by Lucas Alanis
I need to normalize an array that contains values between 0 to 1024 into an array that will contain values between 0-255. I am doing this in Java but I am wanting to understand what exactly does it mean to "normalize an array" rather than asking for exact code.
我需要将包含 0 到 1024 之间的值的数组标准化为一个包含 0 到 255 之间的值的数组。我正在用 Java 执行此操作，但我想了解“规范化数组”而不是要求确切的代码究竟意味着什么。
采纳答案by peter.petrov
To normalize a vector in math means to divide each of its elements
to some value V so that the length/norm of the resulting vector is 1.
Turns out the needed V is equal the length (the length of the vector).
在数学中对向量进行归一化意味着将其每个元素除以
某个值 V，以便结果向量的长度/范数为 1。
结果所需的 V 等于长度（向量的长度）。
Say you have this array.
假设你有这个数组。
[-3, +4]
[-3, +4]
Its length (in Euclid metric) is: V = sqrt((-3)^2 + (+4)^2) = 5
它的长度（以欧几里德度量）是： V = sqrt((-3)^2 + (+4)^2) = 5
So its corresponding normalized vector is:
所以其对应的归一化向量为：
[-3/5, +4/5]
[-3/5, +4/5]
Its length is now: sqrt ( (-3/5)^2 + (+4/5)^2 )which is 1.
它的长度现在是：sqrt ( (-3/5)^2 + (+4/5)^2 )1。
You can use another metric (e.g. I think Manhattan distance)
but the idea is the same. Divide each element of your array
by Vwhere V = || your_vector || = norm (your_vector).
您可以使用另一个指标（例如我认为曼哈顿距离），
但想法是相同的。将数组
的每个元素除以Vwhere V = || your_vector || = norm (your_vector)。
So I think this is what is meant here.
所以我认为这就是这里的意思。
See also:
也可以看看：
http://www.fundza.com/vectors/normalize/
http://www.fundza.com/vectors/normalize/
回答by Cliff Ribaudo
Normalize in this case essentially means to convert the value in your original scale to a value on a different scale. Something like this will do it:
在这种情况下，归一化本质上意味着将原始比例中的值转换为不同比例的值。像这样的事情会做到：
x = origVal / 1024;
xNorm = 255 * x;
You will have to decide how you want to handle rounding.
您必须决定如何处理舍入。
So for example:
例如：
.5 = 512 / 1024;
127.5 = 255 * .5;
