[vtkusers] marching cubes on an implicit surface

[Christian Walder]

Hello,

Thanks for the reply! But does this involve first computing the value of the implicit function on a 3D grid and then running marching cubes? 

I should have mentioned that this is not an option as it will involve a computational cost which is cubic in the resolution (due to constructing the 3D grid), whereas a direct application of marching cubes should be more or less quadratic in the resolution (as the surface itself is two-dimensional, and only embedded in a 3D space).

Christian


-----Original Message-----
From: Jérôme [mailto:jerome.velut at gmail.com]
Sent: Mon 7/6/2009 3:58 PM
To: Christian Walder
Cc: vtkusers at vtk.org
Subject: Re: [vtkusers] marching cubes on an implicit surface
 
Hi, 
You may want to build such a pipeline :
vtkImplicitFunctionToImageStencil -> vtkImageStencil -> vtkContourFilter

It *should* do the trick... Yet I had never try it !

Best,

Jerome


2009/7/6 Christian Walder <chwa at imm.dtu.dk>


	Dear All,
	
	
	I am completely new to vtk, and I am hoping it can solve my problem:
	
	
	I have an implicit surface function mapping from R^3 to R (from three
	dimensions to a scalar value), and I would like to run a marching cubes
	type algorithm on it, to extract a mesh which approximates the zero
	level set of the function. In principle it should be possible to use
	some marching cubes library to do this by e.g. passing a pointer to the
	function which evaluates the implicit surface function, along with
	perhaps a bounding box and resolution, etc. However, from taking a quick
	look it seems that vtk can only do this for voxel data, ie for functions
	which are defined numerically on a 3D grid.
	
	
	Does anyone know if it is in fact possible to do what I want? If so, can
	anyone recommend a good reference or place to start?
	
	
	best regards,
	
	
	Christian
	
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