fitting cone to points

I have a set of data points from the surface of a cone...does anyone have or know of code for calculating the apex and radius of the cone base using a least square fit? ., or another method would be fine too. The general cone equation in special case is

(x-a)^2+(y-b)^2=((z-c)R)^2

where(a,b,c) is the apex and R is the radius of its base

Answer 1

[Walter Roberson]

Instead of posting your question a third time, you could have answered the question asked of you before, namely "Are you attempting to solve for all four variables, a, b, c, and R?" It is difficult for people to assist you when you do not clarify what you need.

Please do not put your entire question in the Title. Please use a short but meaningful title such as I have changed your title to here.

Please use a meaningful Tag instead of "1".

Answer 2

[Shamsh]

I have the data points from the fixture from the surface of the cone. Is it possible to fit the general equation of cone using least square from this data points.

In great needs, please provide suggestion regarding the same.