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Amy Retzerau
2026-08-19 21:23:42 +02:00
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MIT License
Copyright (c) 2026 AmyT3a
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and
associated documentation files (the "Software"), to deal in the Software without restriction, including
without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the
following conditions:
The above copyright notice and this permission notice shall be included in all copies or substantial
portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT
LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO
EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER
IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE
USE OR OTHER DEALINGS IN THE SOFTWARE.

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# SDF-Workshop
A interactive reveal.js workshop to teach the basics of signed distance field rendering.
[Here](https://sdf.madeio.net) are the slides.
## Further reading
Big big thanks to [Inigo Quilez](https://iquilezles.org/), a major inspiration to me and my major source to learn about SDF rendering.
- [furmula collection](https://iquilezles.org/articles/distfunctions/)
- [normals](https://iquilezles.org/articles/normalsSDF/)
- [soft shadow](https://iquilezles.org/articles/rmshadows/)
- [a creazy sdf scene](https://www.shadertoy.com/view/4ttSWf) (only follow link on a system with a capable gpu)
## Tech Stack
- [Reveal.js](https://github.com/hakimel/reveal.js/)
- [Codemirror](https://code.haverbeke.berlin/codemirror/dev/) - the shader editor
- [Vim Motions](https://github.com/replit/codemirror-vim)
- [glsl highlightibg](https://github.com/untopics/codemirror-lang-glsl)
- [Svelte (UI Framework/State Management](https://github.com/sveltejs)

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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8" />
<meta
name="viewport"
content="width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=no"
/>
<title>reveal.js</title>
</head>
<body>
<div id="app"></div>
<script type="module" src="./src/main.ts">
</script>
</body>
</html>

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{
"$schema": "https://opencode.ai/config.json",
"permission": {
"lsp": "allow"
},
"lsp": true,
"provider": {
"llamacpp": {
"npm": "@ai-sdk/openai-compatible",
"options": {
"baseURL": "http://localhost:11434/v1",
"apiKey": "ollama"
},
"models": {
"google/gemma-4-12B-it-qat-q4_0-gguf": {
"name":"local llamacpp",
"modalities": {
"input": ["text", "image"],
"output": ["text"]
},
"_launch": true,
"tool_call": true,
"maxTokens": 16384,
"vision": true
}
}
},
"myprovider": {
"npm": "@ai-sdk/openai-compatible",
"name": "Uni Mainz",
"options": {
"baseURL": "https://ki-chat.uni-mainz.de/api",
"apiKey": "sk-b0949c09e3654161b7028bdb4a46aca4"
},
"models": {
"Qwen3 235B Thinking": {
"name": "Qwen3 Thinking",
"modalities": {
"input": ["text", "image"],
"output": ["text"]
},
"limit": {
"context": 65563,
"output": 16384
}
}
}
}
}
}

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{
"name": "ReSTIR Presentation",
"description": "The HTML Presentation Framework",
"homepage": "https://revealjs.com",
"subdomain": "revealjs",
"license": "MIT",
"type": "module",
"files": [
"dist",
"css",
"js",
"LICENSE",
"README.md",
"index.html",
"demo.html"
],
"scripts": {
"dev": "npm run start",
"start": "vite",
"prepack": "npm run build",
"build:core": "tsc && vite build && vite build -c vite.config.styles.ts && node scripts/add-banner.js dist/reveal.js",
"build:es5": "npm run build && node scripts/build-es5.js",
"build:styles": "vite build -c vite.config.styles.ts",
"build": "vite build",
"package": "node scripts/zip.js",
"test": "node scripts/test.js",
"react:build": "npm run --prefix react build",
"react:demo": "npm run --prefix react demo",
"react:test": "npm run --prefix react test"
},
"devDependencies": {
"@catppuccin/highlightjs": "^1.0.1",
"@sveltejs/vite-plugin-svelte": "^7.1.2",
"@tsconfig/svelte": "^5.0.8",
"@types/node": "^25.9.1",
"@vitejs/devtools": "^0.3.4",
"highlight.js": "^11.11.1",
"typescript": "~6.0.2",
"vite": "^8.0.12",
"vite-plugin-dts": "^4.5.4"
},
"dependencies": {
"@lucide/svelte": "^1.23.0",
"reveal.js": "^6.0.1",
"svelte": "^5.56.4"
}
}

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<script lang="ts">
import "@catppuccin/highlightjs/css/catppuccin-latte.css";
import "reveal.js/reveal.css";
import "reveal.js/theme/white.css";
import Reveal, { type RevealApi } from "reveal.js";
import { onMount, tick } from "svelte";
import reveal from "./config.ts";
import PathTracing from "./PathTracing.svelte";
import EstInegration from "./EstInegration.html?raw";
import pathMath from "./pathExample.html?raw";
import fir from "./imgs/n1.png";
import pdf from "./imgs/pdf.svg";
import distr from "./imgs/distr.png";
let deck: RevealApi | undefined;
onMount(async () => {
await tick();
deck = new Reveal(reveal.reveal);
deck.initialize({ slideNumber: true });
});
</script>
<svelte:head>
<title>ReSTIR</title>
</svelte:head>
<div class="reveal">
<div class="slides">
<section>
<h2>ReSTIR</h2>
Ray reconstruction in realtime
<p style="font-size: 20px">
<a
href="https://git.madeio.net/Amy/PathTracingPresentation"
target="_blank">Source Code: Slides,</a
>
<a href="https://codeberg.org/AmyT3a/PathTracer" target="_blank"
>WebGPU Renderer</a
> <br /> Amy Retzerau
</p>
</section>
<section>
<h2>ReSTIR</h2>
Reservoir-based spatial/temporal importance resampling
</section>
<PathTracing />
{@html EstInegration}
<section data-markdown data-separator-notes="^Note:">
<script type="text/template">
## Andwendungen
- Direct Lighting <!-- .element: class="fragment" -->
- BSDF <!-- .element: class="fragment" -->
- Valume Rendering <!-- .element: class="fragment" -->
- Pathtracing <!-- .element: class="fragment" -->
</script>
</section>
<section>
<section>
<h2>Anwendung beim Pathtracing</h2>
</section>
<section>
<img src={fir} height="500px" />
</section>
{@html pathMath}
</section>
<section>
A Gentle Introduction to ReSTIR Path Reuse in Real-Time <br />
2023 <br />
Chris Wyman, Markus Kettunen, Daqi Lin
</section>
</div>
</div>
<style>
.reveal :global(.slide-number) {
border-radius: 3px;
}
.slides :global(a) {
color: #1e66f5 !important;
}
:global(html:not(.reveal-print) .slide-number) {
bottom: unset !important;
top: 8px;
}
:global(.slides section:not(:has(section, pre))) {
background: #eff1f5 !important;
box-shadow: 0 5px 15px #00000026;
border-radius: 10px;
margin-left: 0;
padding: 10px 0 10px 0;
}
.reveal :global(pre) {
border-radius: 10px;
}
.reveal :global(code.hljs) {
border-radius: 10px;
/* background: transparent !important; */
}
.reveal :global(.lucide) {
vertical-align: middle;
}
:global(.hide) {
position: absolute;
top: 10px;
right: 10px;
line-height: 0;
z-index: 100;
}
</style>

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<section>
<section>
<h2>annäherung an Integrale</h2>
</section>
<section data-markdown>
<script type="text/template">
## Monte Carlo
$$I \approx \frac 1 M \sum^M_ &lbrace; i = 1 &rbrace; f(X_i)$$
$X\subset\Omega$<!-- .element: class="fragment" -->
$|X|=M$<!-- .element: class="fragment" -->
gleichverteilt<!-- .element: class="fragment" -->
---
$$ I \approx \frac 1 M \sum^M_ &lbrace; i = 1 &rbrace; \frac &lbrace; f(X_i) &rbrace;
&lbrace; p_i(X_i) &rbrace; $$
$p_i$ Wahrscheinlichkeitsdichte (PDF) für $X_i$
---
$$ I \approx \frac &lbrace; f(X) &rbrace;
&lbrace; p(X) &rbrace; $$
</script>
</section>
</section>
<section>
<section data-markdown data-separator-notes="^Note:">
<script type="text/template">
## Support
Bei einer Funktion $f: X\to Y$
$\text &lbrace; supp&rbrace;(f) \Leftrightarrow g: \set &lbrace; x \in X : f(x)\neq 0 &rbrace; \to Y$
Zufallszahl $X$<!-- .element: class="fragment" data-fragment-index="1"-->
$\text{supp}(X) \Leftrightarrow$ Wertebreich von $X$<!-- .element: class="fragment" data-fragment-index="1" -->
</script>
</section>
</section>
<section>
<section>
<h2>Multiple Importance Sampling</h2><aside class="notes">
- Bisher 1 wahrscheinlichkeits funktion
- mehrere??
</aside>
</section>
<section data-markdown data-separator-notes="^Note:">
<script type="text/template">
## MIS
$$\begin{align}
I &\approx \sum^M_ &lbrace; i = 1 &rbrace; \frac 1 M \frac &lbrace; f(X_i) &rbrace;
&lbrace; p_i(X_i) &rbrace; \\\\
&\approx \sum^M_ &lbrace; i = 1 &rbrace; m_i(X_i) \frac &lbrace; f(X_i) &rbrace;
&lbrace; p_i(X_i) &rbrace; \end{align}$$
---
## Bedingungen
$$\sum _ { X_i \in \text{supp}(X) } m_i (X) = 1 $$
$$\forall x \notin \text{supp}(X_i):m_i(x)=0$$<!-- .element: class="fragment" -->
Note:
arsch teuer jedes Mal f
---
## Wir werden nutzen
$$m_i(x)=\frac{p_i(x)}{\sum_jp_j(x)}$$
Note:
gewichten die wahrscheinlichkeit von p_i
relativ zu allen funtionen die wir betrachten
</script>
</section>
</section>
<section>
<section>
<h2>Resampled Importance <br/>Sampling</h2><aside class="notes">
- abstrahieren
- eher nicht vergessen
</aside>
</section>
<section data-markdown data-separator-notes="^Note:">
<script type="text/template">
$$\int f \approx \frac {f}{p}$$
$$\Rightarrow \frac 1 p \approx \frac {\int f} f$$
$$\Leftrightarrow \frac 1 p \approx \frac 1 f
\sum^M_ &lbrace; i = 1 &rbrace; m_i(X_i) \frac &lbrace; f(X_i) &rbrace;
&lbrace; p_i(X_i) &rbrace; $$<!-- .element: class="fragment" -->
---
$$I = W_X \cdot f(X)$$
$$\Rightarrow W_{X} = \frac 1 p$$
$$W_{X} = \frac 1 {f(X)}
\sum^M_ &lbrace; i = 1 &rbrace; m_i(X_i) \frac &lbrace; f(X_i) &rbrace;
&lbrace; p_i(X_i) &rbrace; $$<!-- .element: class="fragment" -->
---
$$W_{X} = \frac 1 f
\sum^M_ &lbrace; i = 1 &rbrace; m_i(X_i) \frac &lbrace; f(X_i) &rbrace;
&lbrace; p_i(X_i) &rbrace; $$
$$w_i = m_i(X_i) \frac &lbrace; f(X_i) &rbrace;{p_i(X_i)}$$
$$w_i = m_i(X_i) \cdot f (X_i) \cdot W_{X_i}$$<!-- .element: class="fragment" -->
---
## RIS
Zielfunktion $\hat p$
muss nicht $\hat p = f$
Note:
- nur für canonische korrektheit
- falls PDF für
---
$$W_X = \frac 1 {\hat p (X)} \sum_{i=1}^M(w_i)$$
$$w_i = m_i(X_i)\frac {\hat p (X_i)}{p(X_i)}$$
Note:
- wenn p^ f keine varianz
</script>
</section>
</section>
<section>
<section>
<h2>Ziehen der Samples</h2>
</section>
<section>
<h2>Batch selection</h2>
</section>
<section>
<pre><Code data-trim data-line-numbers="1|2-8|10-15" class="language-python">
samples = [[w0,s0],[w1,s1],[wM,sM]]
get_index():
r = random()
for i in range(length(samples)):
r -= weights[i][0]
if r <= 0:
return i
return None
get_weight():
i = get_index()
if i is not None:
w = sum(s[0] for s in samples) / p(sample)
return[w,samples[i][1]]
return [0,None]
</Code></pre>
</section>
<section>
<h2>Reservoir</h2>
</section>
<section>
<pre><Code data-trim data-line-numbers="1,2|4-7|9-11" class="language-python">
reservoir_sample = None
weight_sum = 0
add_sample(sample,weight):
weight_sum += weight;
if random() < ( weight / weight_sum ):
reservoir_sample = sample
get_weight():
if reservoir_sample is not None:
return weight_sum / p(reservoir_sample)
</Code></pre>
</section>
</section>

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<script lang="ts">
import img from "./imgs/basic-path.png";
import pathMath from "./pathMath.html?raw";
import fir from "./imgs/n0.png";
import sec from "./imgs/1.png";
</script>
<section>
<section data-background-image={img}>
<h2>Path Tracing Recap</h2>
</section>
<section>
<img src={fir} height="500px" />
<aside class="notes">- Camera - Diffuse - Area Light - Falsch herum</aside>
</section>
{@html pathMath}
</section>

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html, body, #app {
height: 100%;
margin: 0;
}
body {
background-color: #9ca0b0!important;
}
h2 {
color: #4c4f69 !important;
}
section {
color: #4c4f69 !important;
}
:root{
--my-bezier: cubic-bezier(0.28, 1.17, 0.64, 1);
--r-heading-text-transform: none !important;
--r-link-color: #1e66f5 !important;
}

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import Highlight from "reveal.js/plugin/highlight";
import RevealMath from "reveal.js/plugin/math";
import Markdown from "reveal.js/plugin/markdown";
import Nodes from "reveal.js/plugin/notes";
export default {
// App Config
app: {
name: "Boilerplate",
},
// Reveal Config
reveal: {
plugins: [Highlight, RevealMath.MathJax4, Markdown, Nodes],
hash: true,
},
};

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https://de.wikipedia.org/wiki/Datei:Integral_as_region_under_curve.svg

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import { mount } from "svelte";
import "./app.css";
import App from "./App.svelte";
// import 'reveal.js/reveal.css';
//
// import 'reveal.js/plugin/highlight/monokai.css';
const appEle = document.getElementById("app")!;
const app = mount(App, {
target: appEle,
});
appEle.addEventListener("keydown", (e) => {
if (e.key == "Escape") {
console.log("test");
e.preventDefault();
}
});
export default app;

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<section data-markdown data-separator-notes="^Note:">
<script type="text/template">
$$I=\int_\Omega f(x)dx$$
---
$$f(X)=\prod^D f_s ( x_j \to x_{j+1} )\cdot G(x_j \leftrightarrow x_{𝑗+1})$$
Bounces $X$: $[x_0,x_1,x_2,...,x_D]$
---
$$f_L(a,b) = \frac {p(b)} \pi $$
$$G(a,b) = \cos(\alpha)$$
---
$$J = V(x_1,y_2) \frac{ \frac{\cos(\alpha_{x_1})\cos(\alpha_{y_2})}{x_1\cdot y_2}}{\frac{\cos(\alpha_{y_1})\cos(\alpha_{y_2})}{y_1\cdot y_2}}$$
</script>
</section>

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<section data-markdown data-separator-notes="^Note:">
<script type="text/template">
$$I_i=\int_{\Omega_i} f(x)dx$$
Note:
Omega menga aller
lichstrahlen
photonen
radienz
---
$$f(X)=\prod^D f_s ( x_j \to x_{j+1} )\cdot G(x_j \leftrightarrow x_{𝑗+1})$$
Bounces $X$: $[x_0,x_1,x_2,...,x_D]$
</script>
</section>

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{
"extends": "@tsconfig/svelte/tsconfig.json",
"compilerOptions": {
"tsBuildInfoFile": "./node_modules/.tmp/tsconfig.node.tsbuildinfo",
"target": "ES2020",
"useDefineForClassFields": true,
"lib": ["ES2020", "DOM", "DOM.Iterable"],
"module": "ESNext",
"skipLibCheck": true,
"types": ["svelte", "vite/client"],
/* Bundler mode */
"moduleResolution": "bundler",
"moduleDetection": "force",
"allowImportingTsExtensions": true,
"resolveJsonModule": true,
"noEmit": true,
/* Linting */
"strict": true,
"noUnusedLocals": true,
"noUnusedParameters": true,
"noFallthroughCasesInSwitch": true
},
"include": ["src/**/*.ts", "src/**/*.js", "src/**/*.svelte"],
"references": [{ "path": "./tsconfig.node.json" }]
}

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{
"compilerOptions": {
"tsBuildInfoFile": "./node_modules/.tmp/tsconfig.node.tsbuildinfo",
"target": "es2023",
"lib": ["ES2023"],
"module": "esnext",
"types": ["node"],
"skipLibCheck": true,
/* Bundler mode */
"moduleResolution": "bundler",
"allowImportingTsExtensions": true,
"verbatimModuleSyntax": true,
"moduleDetection": "force",
"noEmit": true,
/* Linting */
"noUnusedLocals": true,
"noUnusedParameters": true,
"erasableSyntaxOnly": true,
"noFallthroughCasesInSwitch": true
},
"include": ["vite.config.ts"]
}

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#!/bin/bash
rsync -a dist/* root@192.168.178.143:Nginx/data/sdf/

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import { defineConfig } from "vite";
import { svelte } from "@sveltejs/vite-plugin-svelte";
import { DevTools } from "@vitejs/devtools";
export default defineConfig({
devtools: {
enabled: true,
},
plugins: [svelte(), DevTools()],
});