View source for Reslice-Isotropic Voxels

''Image resampling is an interpolation process in which anisotropic voxels (in the Z direction) are resampled into isotropic-sized voxels. The new voxels are formed by taking the weighted combination of the source voxels within a defined neighborhood of the reference voxel. Three interpolation methods are supported: linear, cubic convolution, and cubic B-spline. ''

Refer to "Optimized Automatic Registration 3D" for resampling an image at various orientations using a choice of interpolation methods.

=== Background ===

This section shows the equations that MIPAV uses for the three interpolation methods for the algorithm. Figure 1 shows an original image and the resulting images after linear, cubic convolution, and cubic B-spline interpolation are applied, see also "Interpolation methods used in MIPAV".

==== Linear interpolation ====

The equations for linear interpolation are the following:

<div align="left">[[Image:ResliceIsotropicVoxels3.jpg]]</div>

==== Cubic convolution interpolation ====

The equations that apply to cubic convolution interpolation are:

<div align="left">[[Image:ResliceIsotropicVoxels4.jpg]]</div>

==== Cubic B-spline interpolation ====

MIPAV uses the following equations for cubic B-spline interpolation:

<div align="left">[[Image:ResliceIsotropicVoxels5.jpg]]</div> <div>

{| border="1" cellpadding="5"
|+ <div> </div><div>'''Figure 1. Reslice-Isotropic Voxels algorithm applied to an image''' </div>
|-
|
<div><div><center>[[Image:exampleResliceIsotropicVoxels.jpg]]</center></div> </div>
|}

 </div>

==== References ====

None.

==== Image types ====

You can apply this algorithm to all image data types except RGB and complex. This algorithm can not be applied to 2D and 4D images.

=== Applying the Reslice-Isotropic Voxels algorithm ===

To run this algorithm, complete the following steps:

# Open an image.
# Select Algorithms &gt; Reslice-Isotropic Voxels. The Reslice dialog box (Figure 2) opens.
# Select an interpolation method in Interpolation.
# Click OK.

; A status message appears. When the algorithm is complete, the results appear in a new image window.

<div>

{| border="1" cellpadding="5"
|+ <div> </div><div>'''Figure 2. Reslice dialog box''' </div>
|-
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<div>'''Interpolation''' </div>
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<div>Specifies the type of interpolation to use when applying this algorithm. You can select one of the following: linear, cubic, or cubic B-spline. </div>
| rowspan="3" colspan="1" |
<div><div><center>[[Image:dialogboxReslice.jpg]]</center></div> </div><div> </div>
|-
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<div>'''OK''' </div>
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<div>Applies the Reslice-Isotropic Voxels algorithm according to the specifications in this dialog box. </div>
|-
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<div>'''Cancel''' </div>
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<div>Disregards any changes you made in this dialog box; closes the dialog box. </div>
|-
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<div>'''Help''' </div>
| rowspan="1" colspan="2" |
<div>Displays online help for this dialog box. </div>
|}


[[Category:Help]]
[[Category:Help:Algorithms]]