Parameterisation of quadric surfaces of order 2

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  • Thread starter bugatti79
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In summary, the conversation is about finding online sources for parameterizing quadric surfaces of order 2, specifically a cone, and whether there is a standard technique for deriving all other types of quadratic surfaces. The initial link provided shows the parametric equations for a cone, and the person asking the question is looking for similar techniques for other types of quadratic surfaces. However, they have not been able to find any useful information through a Google search.
  • #1
bugatti79
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1
Hi Folks,

1) Can anyone provide some online sources on how to parameterize quadric surfaces of order 2 as shown in this link

Algebraic Surface -- from Wolfram MathWorld

Is there a standard technique?

I did a google search with no useful info.

Thanks
 
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  • #2
bugatti79 said:
1) Can anyone provide some online sources on how to parameterize quadric surfaces of order 2 as shown in this link
What do you mean by parametrization?
 
  • #3
Evgeny.Makarov said:
What do you mean by parametrization?

As an example, in the above link, specifically a cone, there are parametric equations given
Cone -- from Wolfram MathWorld

Is there a technique to derive all other types of quadratic surfaces?
 

FAQ: Parameterisation of quadric surfaces of order 2

What is parameterisation of quadric surfaces of order 2?

Parameterisation of quadric surfaces of order 2 is a mathematical process used to represent a 3-dimensional surface using a set of equations and parameters. This allows for a more efficient and accurate way to describe the shape of the surface.

Why is parameterisation of quadric surfaces of order 2 important?

Parameterisation of quadric surfaces of order 2 is important because it allows for a more compact and flexible way to represent 3-dimensional surfaces, which is useful in many fields such as computer graphics, physics, and engineering.

What are some examples of quadric surfaces of order 2?

Examples of quadric surfaces of order 2 include spheres, ellipsoids, hyperboloids, cones, and paraboloids. These surfaces can be described using a set of equations and parameters through parameterisation.

How is parameterisation of quadric surfaces of order 2 calculated?

The calculation of parameterisation of quadric surfaces of order 2 involves finding the appropriate equations and parameters that can accurately describe the surface. This can be done using various mathematical techniques such as matrix operations and equations solving.

What are the applications of parameterisation of quadric surfaces of order 2?

The applications of parameterisation of quadric surfaces of order 2 are vast and include computer graphics, physics simulations, engineering design, and geometric modeling. It is also used in real-world applications such as designing curved surfaces for cars, airplanes, and other objects.

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