Why use regularization?
Regularization is used to help smooth multi-dimensional models.
Take this example,
y = x_1 + eps*(x_2 + ... + x_100)

Let's say eps is very small. It  doesnt seem very useful to store those 99 coefficients, isn't it? How do we manage to fit a model in such a way that we drop negligible coefficients? This is exactly what L1-regularisation does!
Each other type of regularisation has another geometric intuition.