How to specify arbitrarily the thickness of lines or size of points in mathematica

I know there are options such as PointSiz开发者_StackOverflowe[Large] or PlotStyle -> Thick, but what if I want to even larger or thicker? Thank you.

PointSize[number] -- size relative to the image

AbsolutePointSize[number] -- absolute size in points

Thickness[number] -- thickness relative to the image

AbsoluteThickness[number] -- absolute thickness in points

Basically the size given by PointSize[0.1] and Thickness[0.1] scale as you resize the graphic. AbsolutePointSize[10] and AbsoluteThickness[10] are always the same size, regardless of the size of the graphic.

(sorry, new user here - is it appropriate to ask a closely related "follow up" question in this manner? If not please advise and I will delete...)

EDIT: moved to a standalone question

EDIT: @Qiang re: obtain the origin information, obtain the plot range information etc. you'll find a lot of what you want from AbsoluteOptions[]