Implement surface stable fractal dithering

27 files changed, 1471 insertions, 1 deletions

diff --git a/Editor/stack_2d_noise_to_3d.cs b/Editor/stack_2d_noise_to_3d.cs
new file mode 100644
index 0000000..adc2773
--- /dev/null
+++ b/Editor/stack_2d_noise_to_3d.cs
@@ -0,0 +1,120 @@
+using UnityEngine;

+using UnityEditor;

+using System.Collections.Generic;

+

+public class ImageSequenceToTexture3D : EditorWindow

+{

+    private List<Texture2D> sourceImages = new List<Texture2D>();

+    private string textureName = "Texture3DFromSequence";

+    private FilterMode filterMode = FilterMode.Bilinear;

+    private TextureWrapMode wrapMode = TextureWrapMode.Repeat;

+

+    [MenuItem("Tools/yum_food/Image Sequence to Texture3D")]

+    public static void ShowWindow()

+    {

+        GetWindow<ImageSequenceToTexture3D>("Image Sequence to Texture3D");

+    }

+

+    private void OnGUI()

+    {

+        GUILayout.Label("Image Sequence to Texture3D Converter", EditorStyles.boldLabel);

+        EditorGUILayout.HelpBox("Add images in the order they should appear in the Z-axis", MessageType.Info);

+

+        // Image sequence management

+        EditorGUILayout.LabelField("Source Images", EditorStyles.boldLabel);

+        for (int i = 0; i < sourceImages.Count; i++)

+        {

+            EditorGUILayout.BeginHorizontal();

+            sourceImages[i] = (Texture2D)EditorGUILayout.ObjectField($"Slice {i}", sourceImages[i], typeof(Texture2D), false);

+            if (GUILayout.Button("Remove", GUILayout.Width(60)))

+            {

+                sourceImages.RemoveAt(i);

+                GUILayout.EndHorizontal();

+                break;

+            }

+            EditorGUILayout.EndHorizontal();

+        }

+

+        if (GUILayout.Button("Add Image Slot"))

+        {

+            sourceImages.Add(null);

+        }

+

+        textureName = EditorGUILayout.TextField("Texture Name", textureName);

+        filterMode = (FilterMode)EditorGUILayout.EnumPopup("Filter Mode", filterMode);

+        wrapMode = (TextureWrapMode)EditorGUILayout.EnumPopup("Wrap Mode", wrapMode);

+

+        if (GUILayout.Button("Generate 3D Texture"))

+        {

+            if (ValidateInputs())

+            {

+                Generate3DTexture();

+            }

+        }

+    }

+

+    private bool ValidateInputs()

+    {

+        if (sourceImages.Count == 0)

+        {

+            EditorUtility.DisplayDialog("Error", "Please add at least one image.", "OK");

+            return false;

+        }

+

+        if (sourceImages.Contains(null))

+        {

+            EditorUtility.DisplayDialog("Error", "Please assign all image slots.", "OK");

+            return false;

+        }

+

+        // Verify all images have the same dimensions

+        int width = sourceImages[0].width;

+        int height = sourceImages[0].height;

+        

+        for (int i = 1; i < sourceImages.Count; i++)

+        {

+            if (sourceImages[i].width != width || sourceImages[i].height != height)

+            {

+                EditorUtility.DisplayDialog("Error", 

+                    $"All images must have the same dimensions. Expected {width}x{height}, but image {i} is {sourceImages[i].width}x{sourceImages[i].height}", 

+                    "OK");

+                return false;

+            }

+        }

+

+        return true;

+    }

+

+    private void Generate3DTexture()

+    {

+        int width = sourceImages[0].width;

+        int height = sourceImages[0].height;

+        int depth = sourceImages.Count;

+

+        // Create the 3D texture

+        Texture3D texture3D = new Texture3D(width, height, depth, TextureFormat.RGBA32, false);

+        texture3D.filterMode = filterMode;

+        texture3D.wrapMode = wrapMode;

+

+        // Prepare the color array

+        Color[] colors = new Color[width * height * depth];

+

+        // Copy the pixel data from each source image

+        for (int z = 0; z < depth; z++)

+        {

+            Color[] imageColors = sourceImages[z].GetPixels();

+            System.Array.Copy(imageColors, 0, colors, z * width * height, width * height);

+        }

+

+        texture3D.SetPixels(colors);

+        texture3D.Apply();

+

+        // Save the texture asset

+        string path = $"Assets/{textureName}.asset";

+        AssetDatabase.CreateAsset(texture3D, path);

+        AssetDatabase.SaveAssets();

+        AssetDatabase.Refresh();

+

+        EditorUtility.DisplayDialog("Success", $"3D texture generated and saved at {path}", "OK");

+    }

+}

diff --git a/Editor/tooner.cs b/Editor/tooner.cs
index fab06e0..c7d89d4 100644
--- a/Editor/tooner.cs
+++ b/Editor/tooner.cs
@@ -3236,6 +3236,33 @@ public class ToonerGUI : ShaderGUI {
     EditorGUI.indentLevel -= 1;
   }
 
+  void DoSurfaceStableFractalDithering() {
+    MaterialProperty bc;
+
+    bc = FindProperty("_Surface_Stable_Fractal_Dithering_Enable_Static");
+    bool enabled = (bc.floatValue != 0.0);
+    EditorGUI.BeginChangeCheck();
+    enabled = Toggle("Stable fractal dithering", enabled);
+    EditorGUI.EndChangeCheck();
+    bc.floatValue = enabled ? 1.0f : 0.0f;
+    SetKeyword("_SURFACE_STABLE_FRACTAL_DITHERING", enabled);
+
+    if (!enabled) {
+      return;
+    }
+
+    EditorGUI.indentLevel += 1;
+
+    bc = FindProperty("_Surface_Stable_Fractal_Dithering_Noise");
+    TexturePropertySingleLine(MakeLabel(bc, "Noise"), bc);
+    bc = FindProperty("_Surface_Stable_Fractal_Dithering_Scale");
+    FloatProperty(bc, "Scale");
+    bc = FindProperty("_Surface_Stable_Fractal_Dithering_Max_Fwidth");
+    FloatProperty(bc, "Max fwidth");
+
+    EditorGUI.indentLevel -= 1;
+  }
+
   void DoGimmicks() {
     show_ui.Add(AddCollapsibleMenu("Gimmicks", "_Gimmicks"));
     EditorGUI.indentLevel += 1;
@@ -3269,6 +3296,7 @@ public class ToonerGUI : ShaderGUI {
     DoGeoScroll();
     DoGimmickEpilepsyMode();
     DoLens00();
+    DoSurfaceStableFractalDithering();
 
     EditorGUI.indentLevel -= 1;
     show_ui.RemoveAt(show_ui.Count - 1);
diff --git a/Textures/SSFD_2x2/README.md b/Textures/SSFD_2x2/README.md
new file mode 100644
index 0000000..2c17d37
--- /dev/null
+++ b/Textures/SSFD_2x2/README.md
@@ -0,0 +1,4 @@
+Images for surface stable fractal dithering.
+
+https://www.youtube.com/watch?v=HPqGaIMVuLs
+
diff --git a/Textures/SSFD_2x2/Texture3DFromSequence.asset b/Textures/SSFD_2x2/Texture3DFromSequence.asset
new file mode 100644
index 0000000..d037f79
--- /dev/null
+++ b/Textures/SSFD_2x2/Texture3DFromSequence.asset
@@ -0,0 +1,40 @@
+%YAML 1.1
+%TAG !u! tag:unity3d.com,2011:
+--- !u!117 &11700000
+Texture3D:
+  m_ObjectHideFlags: 0
+  m_CorrespondingSourceObject: {fileID: 0}
+  m_PrefabInstance: {fileID: 0}
+  m_PrefabAsset: {fileID: 0}
+  m_Name: Texture3DFromSequence
+  m_ImageContentsHash:
+    serializedVersion: 2
+    Hash: 00000000000000000000000000000000
+  m_ForcedFallbackFormat: 4
+  m_DownscaleFallback: 0
+  m_IsAlphaChannelOptional: 0
+  serializedVersion: 3
+  m_ColorSpace: 0
+  m_Format: 8
+  m_Width: 32
+  m_Height: 32
+  m_Depth: 4
+  m_MipCount: 1
+  m_DataSize: 16384
+  m_TextureSettings:
+    serializedVersion: 2
+    m_FilterMode: 1
+    m_Aniso: 1
+    m_MipBias: 0
+    m_WrapU: 0
+    m_WrapV: 0
+    m_WrapW: 0
+  m_UsageMode: 0
+  m_IsReadable: 1
+  image data: 16384
+  _typelessdata: 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diff --git a/Third_Party/generate_recursive_dithering.py b/Third_Party/generate_recursive_dithering.py
new file mode 100644
index 0000000..417647e
--- /dev/null
+++ b/Third_Party/generate_recursive_dithering.py
@@ -0,0 +1,88 @@
+import numpy as np

+from PIL import Image, ImageDraw

+import argparse

+import math

+

+from shift_image_to_corner import shift_to_corner

+

+def create_circle_image(res, radius, center=None):

+    """Create a binary image with a white circle on black background."""

+    if center is None:

+        center = (res/2, res/2)

+    

+    img = Image.new('L', (res, res), 0)

+    draw = ImageDraw.Draw(img)

+    

+    # Convert radius and center to pixels

+    r_px = int(radius * res)

+    cx, cy = int(center[0]), int(center[1])

+    

+    # Draw white circle (255)

+    draw.ellipse([cx-r_px, cy-r_px, cx+r_px, cy+r_px], fill=255)

+    return img

+

+def main():

+    parser = argparse.ArgumentParser(description="Generate dot and circle images.")

+    parser.add_argument("--res", type=int, default=128, help="Resolution of the images.")

+    args = parser.parse_args()

+

+    res = args.res

+    goal_area = 0.1

+    # a = pi * r^2

+    # r = sqrt(a / pi)

+    initial_r = math.sqrt(goal_area / math.pi) * res  # Start with a circle that fills 1/4 of the image

+    

+    # Calculate areas and radii for each layer

+    initial_area = math.pi * (initial_r/res)**2

+    

+    # Layer 1: Single circle in corner

+    r1 = math.sqrt(initial_area/1) * res  # Calculate radius consistently with other layers

+    base_img = create_circle_image(res, r1/res)

+    corner_img = shift_to_corner(base_img)

+    corner_img.save("dots_L1.png")

+    

+    # Layer 2: Two circles, split area

+    r2 = math.sqrt(initial_area/2) * res  # New radius for each circle

+    # Create corner circle

+    corner_img = shift_to_corner(create_circle_image(res, r2/res))

+    # Create center circle

+    center_img = create_circle_image(res, r2/res)

+    # Combine images

+    layer2 = Image.fromarray(np.maximum(np.array(corner_img), np.array(center_img)))

+    layer2.save("dots_L2.png")

+    

+    # Layer 3: Three circles

+    r3 = math.sqrt(initial_area/3) * res

+    # Create corner and center circles as before

+    corner_img = shift_to_corner(create_circle_image(res, r3/res))

+    center_img = create_circle_image(res, r3/res)

+    # Create top circle

+    top_img = shift_to_corner(create_circle_image(res, r3/res), shift_side=False)

+    # Combine images

+    layer3 = Image.fromarray(np.maximum.reduce([

+        np.array(corner_img),

+        np.array(center_img),

+        np.array(top_img)

+    ]))

+    layer3.save("dots_L3.png")

+    

+    # Layer 4: Four circles

+    r4 = math.sqrt(initial_area/4) * res

+    # Create corner and center circles

+    corner_img = shift_to_corner(create_circle_image(res, r4/res))

+    center_img = create_circle_image(res, r4/res)

+    # Create top and right circles

+    top_img = shift_to_corner(create_circle_image(res, r4/res), shift_side=False)

+    right_img = shift_to_corner(create_circle_image(res, r4/res), shift_up=False)

+    # Combine images

+

+    layer4 = Image.fromarray(np.maximum.reduce([

+        np.array(corner_img),

+        np.array(center_img),

+        np.array(top_img),

+        np.array(right_img)

+    ]))

+    layer4.save("dots_L4.png")

+

+if __name__ == "__main__":

+    main()
\ No newline at end of file
diff --git a/Third_Party/shift_image_to_corner.py b/Third_Party/shift_image_to_corner.py
new file mode 100644
index 0000000..8f365a7
--- /dev/null
+++ b/Third_Party/shift_image_to_corner.py
@@ -0,0 +1,97 @@
+"""

+Shift image to corner, wrapping it toroidally.

+"""

+

+from PIL import Image

+import numpy as np

+import argparse

+import os

+

+def shift_to_corner(img, shift_side=True, shift_up=True):

+    """

+    Shifts an image to edges with toroidal wrapping based on specified directions.

+    

+    Args:

+        img (PIL.Image): Input Pillow image

+        shift_side (bool): Whether to shift horizontally to the right edge

+        shift_up (bool): Whether to shift vertically to the top edge

+    

+    Returns:

+        PIL.Image: Shifted image

+    """

+    # Convert image to numpy array

+    img_array = np.array(img)

+    

+    # Get dimensions

+    height, width = img_array.shape[:2]

+    half_height = height // 2

+    half_width = width // 2

+    

+    # Create new array for the shifted image

+    shifted = np.zeros_like(img_array)

+    

+    if shift_side and shift_up:

+        # Original behavior - shift to upper right corner

+        shifted[half_height:, half_width:] = img_array[:half_height, :half_width]    # Q1 -> BR

+        shifted[half_height:, :half_width] = img_array[:half_height, half_width:]    # Q2 -> BL

+        shifted[:half_height, half_width:] = img_array[half_height:, :half_width]    # Q3 -> TR

+        shifted[:half_height, :half_width] = img_array[half_height:, half_width:]    # Q4 -> TL

+    elif shift_side:

+        # Only shift horizontally to right

+        shifted[:, half_width:] = img_array[:, :half_width]    # Left half -> Right

+        shifted[:, :half_width] = img_array[:, half_width:]    # Right half -> Left

+    elif shift_up:

+        # Only shift vertically to top

+        shifted[half_height:, :] = img_array[:half_height, :]  # Top half -> Bottom

+        shifted[:half_height, :] = img_array[half_height:, :]  # Bottom half -> Top

+    else:

+        # No shift, return original image

+        shifted = img_array.copy()

+    

+    # Convert back to PIL Image and return

+    return Image.fromarray(shifted)

+

+def shift_to_corner_from_file(image_path, output_path, shift_side=True, shift_up=True):

+    """

+    Wrapper function that shifts an image file to edges with toroidal wrapping.

+    

+    Args:

+        image_path (str): Path to the input image

+        output_path (str): Path where the shifted image will be saved

+        shift_side (bool): Whether to shift horizontally to the right edge

+        shift_up (bool): Whether to shift vertically to the top edge

+    

+    Returns:

+        PIL.Image: Shifted image

+    """

+    img = Image.open(image_path)

+    result = shift_to_corner(img, shift_side=shift_side, shift_up=shift_up)

+    result.save(output_path)

+    return result

+

+def get_output_path(input_path):

+    """

+    Generate output path by adding '_shifted' before the file extension.

+    

+    Args:

+        input_path (str): Path to the input image

+    Returns:

+        str: Path for the output image

+    """

+    base, ext = os.path.splitext(input_path)

+    return f"{base}_shifted{ext}"

+

+if __name__ == "__main__":

+    parser = argparse.ArgumentParser(description='Shift an image to the corner with toroidal wrapping.')

+    parser.add_argument('input_image', help='Path to the input image file')

+    parser.add_argument('--no-side', action='store_false', dest='shift_side',

+                      help='Disable horizontal shifting (default: enabled)')

+    parser.add_argument('--no-up', action='store_false', dest='shift_up',

+                      help='Disable vertical shifting (default: enabled)')

+    

+    args = parser.parse_args()

+    output_path = get_output_path(args.input_image)

+    

+    shift_to_corner_from_file(args.input_image, output_path, 

+                             shift_side=args.shift_side, 

+                             shift_up=args.shift_up)

diff --git a/feature_macros.cginc b/feature_macros.cginc
index ecbc709..3f5d177 100644
--- a/feature_macros.cginc
+++ b/feature_macros.cginc
@@ -291,6 +291,7 @@
 #pragma shader_feature_local _ _GIMMICK_LENS_00_GRABPASS
 #pragma shader_feature_local _ _GIMMICK_LENS_00_BAYER
 #pragma shader_feature_local _ _GIMMICK_LENS_00_INTERLEAVED_GRADIENT_NOISE
+#pragma shader_feature_local _ _SURFACE_STABLE_FRACTAL_DITHERING
 
 #endif  // __FEATURE_MACROS_INC
 
diff --git a/globals.cginc b/globals.cginc
index a1eca79..88abb0f 100644
--- a/globals.cginc
+++ b/globals.cginc
@@ -1139,5 +1139,11 @@ float _Gimmick_Lens_00_Frame_Counter_Speed;
 #endif
 #endif
 
+#if defined(_SURFACE_STABLE_FRACTAL_DITHERING)
+texture3D _Surface_Stable_Fractal_Dithering_Noise;
+float _Surface_Stable_Fractal_Dithering_Scale;
+float _Surface_Stable_Fractal_Dithering_Max_Fwidth;
+#endif
+
 #endif
 
diff --git a/tooner.shader b/tooner.shader
index a816e67..5632ce2 100644
--- a/tooner.shader
+++ b/tooner.shader
@@ -1175,7 +1175,10 @@ Shader "yum_food/tooner"
     _Gimmick_Lens_00_Mode("Mode", Float) = 0  // 0 = Bayer, 1 = InterleavedGradientNoise
     _Gimmick_Lens_00_Scale("Scale", Float) = 1
 
-
+    _Surface_Stable_Fractal_Dithering_Enable_Static("Enable stable fractal dithering", Float) = 0
+    _Surface_Stable_Fractal_Dithering_Noise("Noise", 3D) = "white" {}
+    _Surface_Stable_Fractal_Dithering_Scale("Scale", Float) = 1
+    _Surface_Stable_Fractal_Dithering_Max_Fwidth("Max fwidth", Float) = 0.001
   }
   SubShader
   {
diff --git a/tooner_lighting.cginc b/tooner_lighting.cginc
index 3241394..ab885e6 100644
--- a/tooner_lighting.cginc
+++ b/tooner_lighting.cginc
@@ -1069,6 +1069,65 @@ float4 effect(inout v2f i, out float depth)
   const float frame = 0;
 #endif  // _FRAME_COUNTER
 
+#if defined(_SURFACE_STABLE_FRACTAL_DITHERING)
+  {
+    float2 duv = i.uv0;
+
+    //float duv_fw = fwidth(duv.x) + fwidth(duv.y);
+    // Original paper uses SVD instead of fwidth.
+    float2x2 M = float2x2(ddx(duv), ddy(duv));
+    float2x2 MtM = mul(transpose(M), M);
+    float trace = MtM[0][0] + MtM[1][1];
+    float det = determinant(MtM);
+    // Calculate eigenvalues using quadratic formula.
+    float tmp = sqrt(trace * trace - 4 * det);
+    float e1 = (trace + tmp) * 0.5;
+    float e2 = (trace - tmp) * 0.5;
+    float2 singular_values = sqrt(float2(e1, e2));
+    // Logic from original paper: the smaller eigenvalue corresponds to the
+    // largest amount of stretching, so we use it to determine when to
+    // subdivide.
+    float duv_fw = singular_values.y;
+
+    // Suppose Max_Fwidth is 1.
+    // duv_fw is 16. That means UV is changing a lot per pixel. That means we want to shrink the scale of the UV.
+    // Factor is 16.
+    // log_2(factor) is 4.
+    // Divide original by 16.
+    float fw_factor = duv_fw / _Surface_Stable_Fractal_Dithering_Max_Fwidth;
+    float fractal_level = log2(fw_factor);
+    float fractal_level_floor = floor(fractal_level);
+    float fractal_remainder = fractal_level - fractal_level_floor;
+    duv /= pow(2, fractal_level_floor);
+    duv *= _Surface_Stable_Fractal_Dithering_Scale;
+
+    //float subdivisions = 4;
+    //float fractal_remainder_subd = fractal_remainder * subdivisions;
+
+#if 1
+    // Four layers -> coarsest at 0.125, finest at 0.875.
+    uint width, height, depth;
+    _Surface_Stable_Fractal_Dithering_Noise.GetDimensions(width, height, depth);
+    float n_layers = depth;
+    float not_used_lo = 1/(n_layers*2);
+    float not_used_hi = 1 - not_used_lo;
+    float uvw = (not_used_hi - not_used_lo) * (1 - fractal_remainder) + not_used_lo;
+
+    float3 duv_3d = float3(duv, uvw);
+#else
+    float3 duv_3d = float3(duv, 0);
+#endif
+    float noise = _Surface_Stable_Fractal_Dithering_Noise.SampleLevel(bilinear_repeat_s, duv_3d, 0);
+    noise = (noise > 0.5) ? 1 : 0;
+
+    albedo.rgb = noise;
+#if 0
+    float hue = 0;
+    hue += glsl_mod(fractal_level_floor*.1, 1);
+    albedo.rgb *= HSVtoRGB(float3(hue, 1, 1));
+#endif
+  }
+#endif
 
 #if defined(_GIMMICK_GERSTNER_WATER)
 #if defined(_EXPLODE)