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Anti-Aliasing SDFs: It's More Complicated Than You Think

2025-08-04

This article delves into the intricacies of anti-aliasing signed distance fields (SDFs). While seemingly straightforward, the process involves numerous considerations, including gradients, transition zone width, coordinate spaces, and color space choices. It explains the use of linear interpolation and smoothstep functions for anti-aliasing SDFs, compares different approaches, and provides practical solutions using pixel size, numerical derivatives, and various color spaces.

Deep Dive into GPU-Based Gradient Noise: From 1D to 3D and Derivative Calculation

2025-06-07

This article delves into the intricacies of implementing gradient noise on a GPU, starting with 1D noise and gradually progressing to higher dimensions. It covers hashing functions, pseudo-random value generation, gradient noise implementation in various dimensions, and derivative calculation. The article focuses on efficient GPU-based computation using WebGL2/GLSL, comparing numerical and analytical derivative approaches. Furthermore, it explores applications of Fractal Brownian Motion (fBm) and derivatives in texture generation, lighting calculations, and terrain simulation. The detailed content is ideal for readers interested in computer graphics and shader programming.