Laplacian Smooth Modifier

The Laplacian Smooth Modifier allows you to reduce noise on a mesh’s surface with minimal changes to its shape.

It can also exaggerate the shape using a negative Factor.

The Laplacian Smooth is useful for objects that have been reconstructed from the real world and contain undesirable noise. It removes noise while still preserving desirable geometry as well as the shape of the original model.

The Laplacian Smooth Modifier is based on a curvature flow Laplace Beltrami operator in a diffusion equation.

Options

../../../_images/modeling_modifiers_deform_laplacian-smooth_panel.png

Laplacian Smooth Modifier.

Repeat

Repetitions allow you to run the Laplacian smoothing multiple times. Each repetition causes the flow curvature of the mesh to be recalculated again, and as a result it removes more noise with every new iteration using a small Factor < 1.0.

When on 0, no smoothing is done.

Note

More repetitions will take longer to calculate. So beware of doing so on meshes with a large number of vertices.

With a factor of 0.5.
../../../_images/modeling_modifiers_deform_laplacian-smooth_repeat0.jpg

Repeat: 0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_repeat1.jpg

Repeat: 1.

../../../_images/modeling_modifiers_deform_laplacian-smooth_repeat5.jpg

Repeat: 5.

../../../_images/modeling_modifiers_deform_laplacian-smooth_repeat10.jpg

Repeat: 10.

With a factor of 2.0.
../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-repeat0.png

Repeat: 0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-repeat1.png

Repeat: 1.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-repeat5.png

Repeat: 5.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-repeat10.png

Repeat: 10.

With a factor of -0.5.
../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-repeat0.jpg

Repeat: 0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-repeat1.jpg

Repeat: 1.

../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-repeat5.jpg

Repeat: 5.

../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-repeat10.jpg

Repeat: 10.

Factor

Controls the amount of displacement of every vertex along the curvature flow.

  • Using a small Factor, you can remove noise from the shape without affecting desirable geometry.
  • Using a large Factor, you get smoothed versions of the shape at the cost of fine geometry details.
  • Using a negative Factor, you can enhance the shape, preserving desirable geometry.
  • When the Factor is negative, multiple iterations can magnify the noise.
../../../_images/modeling_modifiers_deform_laplacian-smooth_lambda0-0.jpg

Factor: 0.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_lambda0-5.jpg

Factor: 0.5.

../../../_images/modeling_modifiers_deform_laplacian-smooth_lambda.jpg

Factor: 2.5.

../../../_images/modeling_modifiers_deform_laplacian-smooth_lambda5-0.jpg

Factor: 5.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-lambda0-0.png

Factor: 0.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-lambda1-0.jpg

Factor: 1.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-lambda10-0.jpg

Factor: 10.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-lambda50-0.jpg

Factor: 50.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-lambda0-0.jpg

Factor: 0.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-lambda20-0.jpg

Factor: -20.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-lambda50-0.jpg

Factor: -50.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-lambda300-0.jpg

Factor: -300.0.

Border

Since there is no way to calculate the curvature flow on border edges, they must be controlled separately. Border edges are smoothed using a much simpler method, using this property to control the influence.

Positive values will smooth the vertex positions, while negative values will “enhance” them by transforming them in the opposite direction.

With a factor of 2.5.
../../../_images/modeling_modifiers_deform_laplacian-smooth_border0-0.jpg

Border: 0.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_border1-0.jpg

Border: 1.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_border.jpg

Border: 2.5.

../../../_images/modeling_modifiers_deform_laplacian-smooth_border10-0.jpg

Border: 10.0.

With a factor of 20.0.
../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-border0-0.jpg

Border: 0.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-border1-0.jpg

Border: 1.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-border5-0.jpg

Border: 5.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-border20-0.jpg

Border: 20.0.

With a factor of -30.0.
../../../_images/modeling_modifiers_deform_laplacian-smooth_cup-0-0.jpg

Border: 0.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cup-20-0.jpg

Border: -20.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cup-50-0.jpg

Border: -50.0.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cup-200-0.jpg

Border: -200.0.

Axis

Toggle buttons to enable/disable deforming vertices in the X, Y and/or Z axis directions.

X, Y, Z

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-axis.png

X, Y, Z: Unselected.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-axis-xyz.jpg

X, Y, Z: Selected.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-axis-xy.jpg

X, Y: Selected.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-axis-x.png

X: Selected.

../../../_images/modeling_modifiers_deform_laplacian-smooth_t-axis.png

X, Y, Z: Unselected.

../../../_images/modeling_modifiers_deform_laplacian-smooth_t-axis-xyz.jpg

X, Y, Z: Selected.

../../../_images/modeling_modifiers_deform_laplacian-smooth_t-axis-xy.jpg

X, Y: Selected.

../../../_images/modeling_modifiers_deform_laplacian-smooth_t-axis-x.png

X: Selected.

Preserve Volume

The smoothing process can produce shrinkage. That is significant for large Factor or large Repeat values; to reduce that effect you can use this option.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-volume-false.png

Off.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-volume-true.jpg

On.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-volume2-false.jpg

Off.

../../../_images/modeling_modifiers_deform_laplacian-smooth_cube-volume2-true.jpg

On.

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.

Original Geometry No Group Chosen Vertex Weights Result
../../../_images/modeling_modifiers_deform_laplacian-smooth_repeat0.jpg
../../../_images/modeling_modifiers_deform_laplacian-smooth_lambda.jpg
../../../_images/modeling_modifiers_deform_laplacian-smooth_femme-paint.jpg
../../../_images/modeling_modifiers_deform_laplacian-smooth_femme-wgroup.jpg
../../../_images/modeling_modifiers_deform_laplacian-smooth_t-normal.png
../../../_images/modeling_modifiers_deform_laplacian-smooth_t-smooth.jpg
../../../_images/modeling_modifiers_deform_laplacian-smooth_t-paint.jpg
../../../_images/modeling_modifiers_deform_laplacian-smooth_t-wgroup.png
../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-vertex0.jpg
../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-vertex1.jpg
../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-vertex2.jpg
../../../_images/modeling_modifiers_deform_laplacian-smooth_camel-vertex3.jpg
Normalized

When enabled, the results will depend on face sizes. When disabled, geometry spikes may occur.

../../../_images/modeling_modifiers_deform_laplacian-smooth_monkey-normalized0.jpg

Original Geometry.

../../../_images/modeling_modifiers_deform_laplacian-smooth_monkey-normalized1.jpg

On.

../../../_images/modeling_modifiers_deform_laplacian-smooth_monkey-normalized2.jpg

Off.

../../../_images/modeling_modifiers_deform_laplacian-smooth_monkey-normalized3.jpg

Off, High Factor.

Hint

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.