Normal map

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What is a Normal Map?

A normal map is an image that stores a line at each pixel. These lines are called "normals".

The red, green, and blue channels of the image are used to control the direction of each pixel's normal.

A normal map is commonly used to fake high-resolution details on a low-resolution model. Each pixel of the map stores the surface slope of the original high-res mesh at that point. This creates the illusion of more surface detail or better curvature. However, the silhouette of the model doesn't change.

  • A normal mapped model, the mesh without the map, and the normal map alone.
    Image by Eric Chadwick.


2D Workflow

Normal maps can be made in 2D painting software, without modeling in 3D. You can convert photo textures into normal maps, create node-based graphs to compile normal maps, or even hand-paint them with brushes.

Normal maps created in 2D work best when tiled across 3D models that have a uniform direction in tangent space, like terrains or walls. On these models the UVs are not rotated; they are all facing roughly in the same direction. To get seamless lighting, rotated UVs require specific gradients in the normal map, which can only be created properly by baking a 3D model.

A normal map baked from a high-poly mesh will often be better than one sampled from a texture, since you're rendering from a highly detailed surface. The normal map pixels will be recreating the surface angles of the high-poly mesh, resulting in a very believable look. A hybrid approach can be used by baking large and mid-level details from a high-poly mesh, and combining these with painted or photo-sourced "fine detail" for fabric weave, scratches, pores, etc.

Most image conversion tools assume the input is a heightmap, where black is low and white is high. If you try to convert a color texture that you've painted, the results are often very poor.

Flat Color

The color (128,128,255) creates normals that are completely perpendicular to the polygon, as long as the vertex normals are also perpendicular. Remember a normal map's per-pixel normals create offsets from the vertex normals. If you want an area in the normal map to be flat, so it creates no offsets from the vertex normals, then use the color (128,128,255).

This becomes especially obvious when mirroring a normal map and using a shader with a reflection ingredient. Reflection tends to accentuate the angles between the normals, so any errors become much more apparent.

Mirrored normal maps show a seam when (127,127,255) is used for the flat color; 128 is better.
Image by Eric Chadwick

In a purely logical way, 127 seems like it would be the halfway point between 0 and 255. However 128 is the color that actually works in practice. When a test is done comparing (127,127,255) versus (128,128,255) it becomes obvious that 127 creates a slightly bent normal, and 128 creates a flat one.

This is because most game pipelines use unsigned normal maps. For details see the Polycount forum thread tutorial: fixing mirrored normal map seams.


Blending Normal Maps Together

Blending normal maps together is a quick way to add high-frequency detail like wrinkles, cracks, and the like. Fine details can be painted as a height map, then it can be converted into a normal map using one of the normal map tools. Then this "details" normal map can be blended with a geometry-derived normal map using one of the methods below.

Here is a comparison of four of the blending methods. Note that in these examples the default values were used for CrazyBump (Intensity 50, Strength 33, Strength 33), but the tool allows each layer's strength to be adjusted individually for stronger or milder results. Each of the normal maps below were re-normalized after blending.

Nrmlmap blending methods Maps.png Nrmlmap blending methods RTTNormalMapFX.png
The blended normal maps.
Image by Eric Chadwick 		Screenshot of the 3dsmax viewport, using the RTTNormalMap.fx shader.
Image by Eric Chadwick

The four blending methods used above:

  1. CrazyBump by Ryan Clark blends normal maps together using calculations in 3D space rather than just in 2D. This does probably the best job at preserving details, and each layer's strength settings can be tweaked individually.
  2. Combining Normal Maps in Photoshop by Rod Green blends normal maps together using Linear Dodge mode for the positive values and Difference mode for the negative values, along with a Photoshop Action to simplify the process. It's free, but the results may be less accurate than CrazyBump.
  3. Making of Varga by Paul "paultosca" Tosca blends normal maps together using Overlay mode for the red and green channels and Multiply mode for the blue channel. This gives a slightly stronger bump than the Overlay-only method. Leo "chronic" Covarrubias has a step-by-step tutorial for this method in CG Bootcamp Combine Normal Maps.
  4. Normal Map Deepening by Ben "poopinmymouth" Mathis shows how to blend normal maps together using Overlay mode. CGTextures tutorial for the NVIDIA Photoshop filter by Scott Warren also shows how to create normalmaps using multiple layers (Note: to work with the Overlay blend mode each layer's Output Level should be 128 instead of 255, you can use the Levels tool for this).

The Getting good height from Nvidia-filter normalizing grayscale height thread on the Polycount forum has a discussion of different painting/blending options. Also see the 2D Tools section for painting and conversion tools.


Pre-Created Templates

A library of shapes can be developed and stored for later use, to save creation time for future normal maps. Things like screws, ports, pipes, and other doo-dads. These shapes can be stored as bitmaps with transparency so they can be layered into baked normal maps.


Re-normalizing

Re-normalizing means resetting the length of each normal in the map to 1.

A normal mapping shader takes the three color channels of a normal map and combines them to create the direction and length of each pixel's normal. These normals are then used to apply the scene lighting to the mesh. However if you edit normal maps by hand or if you blend multiple normal maps together this can cause those lengths to change. Most shaders expect the length of the normals to always be 1 (normalized), but some are written to re-normalize the normal map dynamically (for example, 3ds Max's Hardware Shaders do re-normalize).

If the normals in your normal map are not normalized, and your shader doesn't re-normalize them either, then you may see artifacts on the shaded surface... the specular highlight may speckle like crazy, the surface may get patches of odd shadowing, etc. To help you avoid this NVIDIA's normal map filter for Photoshop provides an easy way to re-normalize a map after editing; just use the Normalize Only option. Xnormal also comes with a Normalize filter for Photoshop.

The re-normalize option in the NVIDIA filter.
Image by Scott Warren

Some shaders use compressed normal maps. Usually this means the blue channel is thrown away completely, so it's recalculated on-the-fly in the shader. However the shader has to re-normalize in order to recreate that data, so any custom normal lengths that were edited into the map will be ignored completely.


Ambient Occlusion into a Normal Map

If the shader doesn't re-normalize the normal map, an Ambient Occlusion Map can actually be baked into the normal map. This will shorten the normals in the crevices of the surface, causing the surface to receive less light there. This works with both diffuse and specular, or any other pass that uses the normal map, like reflection.

However it's usually best to keep the AO as a separate map (or in an alpha channel) and multiply it against the ambient lighting only. This is usually done with a custom shader. If you multiply it against the diffuse map or normal map then it also occludes diffuse lighting which can make the model look dirty. Ambient occlusion is best when it occludes ambient lighting only, for example a diffusely convolved cubemap.

AO can be baked into a normal map, shortening the normals (lower left model).
Model by James Ku

To bake the AO into a normal map, adjust the levels of the AO layer first so the darks only go as low as 128 gray, then set the AO layer to Darken mode. This will shorten the normals in the normalmap, causing the surface to receive less light in the darker areas.

This trick doesn't work with any shaders that re-normalize, like 3ds Max's Hardware Shaders. The shader must be altered to actually use the lengths of your custom normals; most shaders just assume all normals are 1 in length because this makes the shader code simpler. Also this trick will not work with most of the common normal map compression formats, which often discard the blue channel and recalculate it in the shader, which requires re-normalization.


Back Lighting Example

You can customize normal maps for some interesting effects. If you invert the blue channel of a tangent-space map, the normals will be pointing to the opposite side of the surface, which can simulate backlighting.

Tree front.jpg Tree back.jpg
Tree simulating subsurface scattering (front view).
Image by Eric Chadwick 		Tree simulating subsurface scattering (back view).
Image by Eric Chadwick
Tree maps.jpg
The maps used for the leaves. The 2nd diffuse was simply color-inverted, hue-shifted 180°, and saturated.
Image by Eric Chadwick

The tree leaves use a shader than adds together two diffuse maps, one using a regular tangent-space normal map, the other using the same normal map but with the blue channel inverted. This causes the diffuse map using the regular normal map to only get lit on the side facing the light (front view), while the diffuse map using the inverted normal map only gets lit on the opposite side of the leaves (back view). The leaf geometry is 2-sided but uses the same shader on both sides, so the effect works no matter the lighting angle. As an added bonus, because the tree is self-shadowing the leaves in shadow do not receive direct lighting, which means their backsides do not show the inverted normal map, so the fake subsurface scatter effect only appears where the light directly hits the leaves. This wouldn't work for a whole forest because of the computational cost of self-shadowing and double normal maps, but could be useful for a single "star" asset, or if LODs switched the distant trees to a model that uses a cheaper shader.

2D Normal Map Tools

3D Workflow

(... work in progress ...) 

Summary.

Breakout pages:
[[Normal Map Modeling]]
* High-Poly Modeling Tricks
** Sloped Extrusions
** Edge Thickness
** mental ray Round Corners Bump
** Floating Geometry
* Beveling
* Smoothing Groups & Hard Edges
* Mirroring
* LODs

* UV borders to hard edges Maxscript. This one creates the correct hard edges, even on seams within shells (for example, a torus primitive).

Tutorials

A word of warning: There is a huge amount of misinformation about normal mapping on the web. It is best to assume all tutorials are incorrect, until you can verify the results yourself with your own tools and models.

More Information

Work In Progress

This page is a bit old, it is being updated. See these links for the latest information. In time this info will be condensed onto the wiki.

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