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Gradients Are the New Intervals: A Novel Approach to Efficiently Rendering Complex SDF Models

2025-05-31

This blog post explores a new method for efficiently rendering complex models based on signed distance fields (SDFs). Leveraging the Lipschitz property of SDFs, the approach uses single-point evaluation to obtain pseudo-interval results, combining it with traditional interval arithmetic techniques. This significantly improves performance by avoiding the conservatism of interval arithmetic and handling complex transformations more effectively. While additional normalization is needed for non-Lipschitz continuous distance fields, the overall efficiency surpasses traditional methods, opening new avenues for interactive visualization of complex models.

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(www.mattkeeter.com)
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The Prospero Challenge: Rendering Implicit Surfaces with Extreme Performance

2025-03-24
The Prospero Challenge: Rendering Implicit Surfaces with Extreme Performance

The Prospero Challenge invites developers to render an implicit surface defined by 7866 mathematical expressions as quickly as possible. Participants explore various optimization techniques, including expression pre-parsing, Numba acceleration, GPU computation, and LLVM compilation, using tools like Python, Numpy, CUDA, and JIT compilers. Solutions have achieved millisecond rendering times and significantly reduced memory consumption. The challenge encourages experimentation and the sharing of results to advance the state of the art in implicit surface rendering.

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(www.mattkeeter.com)
Development implicit surface

Guided by the Beauty of Our Test Suite: A Story of Rust, Uxn, and Rigorous Engineering

2025-01-21

Last summer, the author released Raven, an independent implementation of the Uxn CPU and Varavara orchestrator. Recently, to improve stability and performance, the author built a robust testing infrastructure, including GitHub Actions CI, snapshot testing, static panic prevention, and fuzzing. This post details challenges and solutions encountered while building these tests, such as issues with the reliability of GitHub Actions' Windows and ARM runners, and pitfalls in statically proving the absence of panics and in fuzz testing. The author successfully improved Raven's performance and reliability, ensuring cross-platform portability. The journey highlights the power of Rust, cargo-fuzz, and even (sigh) GitHub Actions in creating robust and correct systems.

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(www.mattkeeter.com)
Development Virtual Machine

Fidget: A High-Performance Rust Library for Large-Scale Math Expressions

2025-01-08

Fidget is a Rust library for representing, compiling, and evaluating large-scale math expressions. Primarily designed for implicit surfaces, its flexibility extends to various applications. Architecturally layered, Fidget comprises a frontend (script-to-bytecode), backend (fast, flexible evaluation), and algorithms (rendering and meshing). Its core innovation combines interval arithmetic and trace simplification for efficient handling of massive expressions, further enhanced by JIT compilation. Offering diverse demos including a web-based GUI, Fidget supports automatic differentiation and interval arithmetic.

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(www.mattkeeter.com)
Development Implicit Surfaces JIT Compilation