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=Laplacian Smooth and Shape Enhanced Modifier=
{{RefBox
|mode=Any mode
|panel={{Literal|Modifiers}}
|lang=en
}}
==Description==

The {{Literal|Laplacian Smooth}} and {{Literal|Shape Enhanced}} modifier allows you to reduce noise on a mesh's surface with minimal changes to its shape, and exaggerates a shape using a Laplacian smoothing modifier in the reverse direction using a single parameter, <math> factor </math>, that supports negative and positive values: negative for enhancement and positive for smoothing.

The {{Literal|Shape enhanced}} method exaggerates a shape using a Laplacian smoothing operator in the reverse direction.

The {{Literal|Laplacian Smooth}} is useful for objects that have been reconstructed from the real world containing undesirable noise. A mesh smoothing tool removes noise while still preserving desirable geometry as well as the shape of the original model.

The {{Literal|Laplacian Smooth}} and {{Literal|Shape Enhanced}} modifier is based on a curvature flow Laplace Beltrami operator in a diffusion equation.

The Catmull-Clark subdivision surfaces together with {{Literal|Shape Enhancement}} can easily generate families of shapes by changing a single parameter.

==Options==
[[File:Apinzonf_Diagram_Modifier_Panel.png|center|thumb|369px|{{Literal|Laplacian Smooth and Shape Enhanced}} modifier ]]

; {{Literal|Repeat}}: Repetitions allow you to run the Laplacian smoothing and Shape Enhancement multiple times. Each repetition causes the flow curvature of the mesh to be recalculated again, and as a result it removes more noise at every new iteration in Laplacian smoothing cases (positive factor) using a small {{Literal|Factor}} < '''1.0'''. In a Shape Enhancement case (negative Factor) multiple iterations can magnify the noise.
* {{Literal|Repeat}}: '''0''' Disables the modifier and no repetition is made.
* {{Literal|Repeat}}: '''1''' to '''200''' Number of repetitions to be done by the modifier. Be careful with large numbers of vertices, because it will take a lot of time to execute all iterations.

{|align=center
| [[Image:Apinzonf_GSOC_2012_Diagram_repeat0.png|thumb|150px| '''Repeat: 0''', Lambda_Factor: 0.5]]
| [[Image:Apinzonf_GSOC_2012_Diagram_repeat1.png|thumb|150px| '''Repeat: 1''', Lambda_Factor: 0.5]]
| [[Image:Apinzonf_GSOC_2012_Diagram_repeat5.png|thumb|150px| '''Repeat: 5''', Lambda_Factor: 0.5]]
| [[Image:Apinzonf_GSOC_2012_Diagram_repeat10.png|thumb|150px| '''Repeat: 10''', Lambda_Factor: 0.5]]
|-
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_repeat0.png|thumb|150px| '''Repeat: 0''', Lambda_Factor: 2.0]]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_repeat1.png|thumb|150px| '''Repeat: 1''', Lambda_Factor: 2.0]]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_repeat5.png|thumb|150px| '''Repeat: 5''', Lambda_Factor: 2.0]]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_repeat10.png|thumb|150px| '''Repeat: 10''', Lambda_Factor: 2.0]]
|-
|-
| [[Image:Apinzonf_Diagram_camel_repeat0.png|thumb|150px| '''Repeat: 0''', Lambda_Factor: -0.5]]
| [[Image:Apinzonf_Diagram_camel_repeat1.png|thumb|150px| '''Repeat: 1''', Lambda_Factor: -0.5]]
| [[Image:Apinzonf_Diagram_camel_repeat5.png|thumb|150px| '''Repeat: 5''', Lambda_Factor: -0.5]]
| [[Image:Apinzonf_Diagram_camel_repeat10.png|thumb|150px| '''Repeat: 10''', Lambda_Factor: -0.5]]
|}

; {{Literal|Lambda factor}}: The Lambda factor ranges from '''-1000.0''' to '''1000.0'''; this factor controls the amount of displacement of every vertex along the curvature flow.

* {{Literal|Lambda factor}}: '''-1000.0''' to '''0.0''' Using a Lambda factor you can enhance the shape, preserving desirable geometry.
* {{Literal|Lambda factor}}: '''0.0''' Disables the modifier and no smoothing or enhancing is done.
* {{Literal|Lambda factor}}: '''0.0''' to '''5.0''' Using a small Lambda factor, you can remove noise from the shape without affecting desirable geometry.
* {{Literal|Lambda factor}}: '''5.0''' to '''1000.0''' Using a large Lambda factor you get smoothed versions of the shape at the cost of losing fine geometry details.

{|align=center
| [[Image:Apinzonf_GSOC_2012_Diagram_lambda0_0.png|thumb|150px| Repeat: 1, '''Lambda_Factor: 0.0''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_lambda0_5.png|thumb|150px| Repeat: 1, '''Lambda_Factor: 0.5''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_lambda2_5.png|thumb|150px| Repeat: 1, '''Lambda_Factor: 2.5''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_lambda5_0.png|thumb|150px| Repeat: 1, '''Lambda_Factor: 5.0''']]
|-
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_lambda0_0.png|thumb|150px| Repeat: 1, '''Lambda_Factor: 0.0''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_lambda1_0.png|thumb|150px| Repeat: 1, '''Lambda_Factor: 1.0''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_lambda10_0.png|thumb|150px| Repeat: 1, '''Lambda_Factor: 10.0''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_lambda50_0.png|thumb|150px| Repeat: 1, '''Lambda_Factor: 50.0''']]
|-
| [[Image:Apinzonf_Diagram_camel_lambda0_0.png|thumb|150px| Repeat: 1, '''Lambda_Factor: 0.0''']]
| [[Image:Apinzonf_Diagram_camel_lambda20_0.png|thumb|150px| Repeat: 1, '''Lambda_Factor: -20.0''']]
| [[Image:Apinzonf_Diagram_camel_lambda50_0.png|thumb|150px| Repeat: 1, '''Lambda_Factor: -50.0''']]
| [[Image:Apinzonf_Diagram_camel_lambda300_0.png|thumb|150px| Repeat: 1, '''Lambda_Factor: -300.0''']]
|}

; {{Literal|Lambda border}}: The Lambda border ranges from '''-1000.0''' to '''1000.0''' . Borders are treated differently. There is no way to calculate the curvature flow on them. For this reason the Lambda factor just smooths or enhances them.
* {{Literal|Lambda border}}: '''-1000.0''' to '''0.0''' Enhance the borders.
* {{Literal|Lambda border}}: '''0.0''' Disables the modifier and no smoothing on the borders is done.
* {{Literal|Lambda border}}: '''0.0''' to '''10.0''' Smooths the borders.
* {{Literal|Lambda border}}: '''10.0''' to '''1000.0''' Collapses the borders in a small circle.

{|align=center
| [[Image:Apinzonf_GSOC_2012_Diagram_border0_0.png|thumb|150px| Repeat: 1, Lambda_Factor: 2.5, '''Lambda_Border: 0.0''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_border1_0.png|thumb|150px| Repeat: 1, Lambda_Factor: 2.5, '''Lambda_Border: 1.0''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_border2_5.png|thumb|150px| Repeat: 1, Lambda_Factor: 2.5, '''Lambda_Border: 2.5''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_border10_0.png|thumb|150px| Repeat: 1, Lambda_Factor: 2.5, '''Lambda_Border: 10.0''']]
|-
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_border0_0.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0, '''Lambda_Border: 0.0''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_border1_0.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0, '''Lambda_Border: 1.0''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_border5_0.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0, '''Lambda_Border: 5.0''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_border20_0.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0, '''Lambda_Border: 20.0''']]
|-
| [[Image:Apinzonf_Diagram_cup_border0_0.png|thumb|150px| Repeat: 1, Lambda_Factor: -30.0, '''Lambda_Border: 0.0''']]
| [[Image:Apinzonf_Diagram_cup_border20_0.png|thumb|150px| Repeat: 1, Lambda_Factor: -30.0, '''Lambda_Border: -20.0''']]
| [[Image:Apinzonf_Diagram_cup_border50_0.png|thumb|150px| Repeat: 1, Lambda_Factor: -30.0, '''Lambda_Border: -50.0''']]
| [[Image:Apinzonf_Diagram_cup_border200_0.png|thumb|150px| Repeat: 1, Lambda_Factor: -30.0, '''Lambda_Border: -200.0''']]
|}

; {{Literal|X}}, {{Literal|Y}}, {{Literal|Z}}: Toggle buttons to enable/disable hard constraints in the X, Y and/or Z axis directions.

{|align=center
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_axis.png|thumb|150px| Repeat: 1, Lambda_Factor: 40.0, '''X, Y, Z: Unselected''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_axis_xyz.png|thumb|150px| Repeat: 1, Lambda_Factor: 40.0, '''X, Y, Z: Selected''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_axis_xy.png|thumb|150px| Repeat: 1, Lambda_Factor: 40.0, '''X, Y: Selected''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_axis_x.png|thumb|150px| Repeat: 1, Lambda_Factor: 40.0, '''X: Selected''']]
|-
| [[Image:Apinzonf_GSOC_2012_Diagram_t_axis.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0, '''X, Y, Z: Unselected''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_t_axis_xyz.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0, '''X, Y, Z: Selected''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_t_axis_xy.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0, '''X, Y: Selected''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_t_axis_x.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0, '''X: Selected''']]
|}

; {{Literal|Preserve Volume}}: The smoothing process can produce shrinkage. That is significant for large {{Literal|Lambda factor}} or large {{Literal|Repeat}} values; to reduce that effect you can use this option.
{|align=center
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_volumeFalse.png|thumb|150px| Repeat: 1, Lambda_Factor: 40.0, '''Volume Preservation: Unselected''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_volumeTrue.png|thumb|150px| Repeat: 1, Lambda_Factor: 40.0, '''Volume Preservation: Selected''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_volume2False.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0, '''Volume Preservation: Unselected''']]
| [[Image:Apinzonf_GSOC_2012_Diagram_cube_volume2True.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0, '''Volume Preservation: Selected''']]
|}

; {{Literal|Vertex Group}}: A vertex group name, to constrain the effect to a group of vertices only. Allows for selective, real-time smoothing or enhancing, by painting vertex weights.

{|align=center valign=top
|valign=top| [[Image:Apinzonf_GSOC_2012_Diagram_repeat0.png|thumb|150px| Repeat: 1, Lambda_Factor: 0.0]]
|valign=top| [[Image:Apinzonf_GSOC_2012_Diagram_lambda2_5.png|thumb|150px| Repeat: 1, Lambda_Factor: 2.5]]
|valign=top| [[Image:Apinzonf_GSOC_2012_Diagram_femme_paint.png|thumb|150px| Weight Paint, Vertex Group: Group]]
|valign=top| [[Image:Apinzonf_GSOC_2012_Diagram_femme_wgroup.png|thumb|150px| Repeat: 1, Lambda_Factor: 2.5, '''Vertex Group: Group''']]
|-
|valign=top| [[Image:Apinzonf_GSOC_2012_Diagram_t_normal.png|thumb|150px| Repeat: 1, Lambda_Factor: 0.0]]
|valign=top| [[Image:Apinzonf_GSOC_2012_Diagram_t_smooth.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0]]
|valign=top| [[Image:Apinzonf_GSOC_2012_Diagram_t_paint.png|thumb|150px| Weight Paint, Vertex Group: Group]]
|valign=top| [[Image:Apinzonf_GSOC_2012_Diagram_t_wgroup.png|thumb|150px| Repeat: 1, Lambda_Factor: 20.0, '''Vertex Group: Group''']]
|-
|valign=top| [[Image:Apinzonf_Diagram_camel_vertex0.png|thumb|150px| Repeat: 1, Lambda_Factor: 0.0]]
|valign=top| [[Image:Apinzonf_Diagram_camel_vertex1.png|thumb|150px| Repeat: 1, Lambda_Factor: -240.0]]
|valign=top| [[Image:Apinzonf_Diagram_camel_vertex2.png|thumb|150px| Weight Paint, Vertex Group: Group]]
|valign=top| [[Image:Apinzonf_Diagram_camel_vertex3.png|thumb|150px| Repeat: 1, Lambda_Factor: -240.0, '''Vertex Group: Group''']]
|}

; {{Literal|Normalized Version}}: The modifier has two versions, the normalized version that does not depend on face size, and the other that is dependent on the face size. Be careful with the face-size-dependent version, which can produce peaks.

{|align=center valign=top
|valign=top| [[Image:Apinzonf_Diagram_monkey_normalized0.jpg|thumb|150px| Normalized Version: Selected, Lambda_Factor: 0.0]]
|valign=top| [[Image:Apinzonf_Diagram_monkey_normalized1.jpg|thumb|150px| Normalized Version: Selected, Lambda_Factor: -50]]
|valign=top| [[Image:Apinzonf_Diagram_monkey_normalized2.jpg|thumb|150px| Normalized Version: Unselected, Lambda_Factor: -50]]
|valign=top| [[Image:Apinzonf_Diagram_monkey_normalized3.jpg|thumb|150px| Normalized Version: Unselected, Lambda_Factor: -250]]
|}

==Hints==

Meshes with a great number of vertices, more than ten thousand (10,000), may take several minutes for processing; you can use small portions of the mesh for testing before executing the modifier on the entire model.

==Examples==

{|align=center valign=top
|valign=top| [[Image:Apinzonf_GSOC_2012_Diagram_repeat0.png|thumb|150px| Femme front view [[Media:Apinzonf_GSOC_2012_Media_femme_front.blend|Femme Front blend file]]]]
|valign=top| [[Image:Apinzonf_Shape_Enhanced_Camel.png|thumb|240px| Camel Enhanced [[Media:Apinzonf_GSOC_2012_Media_cube_smooth.blend|Cube Smooth blend file]]]]
|}

==See Also==

* [[Doc:2.6/Manual/Modifiers/Deform/Smooth| Smooth Modifier]]

{{Clr}}
[[Category:Modifiers]]

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wiki>Mam711: minor edits

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