MATLAB Toolbox for Fast Marching Algorithm in Level Set Methods

This article introduces a MATLAB toolbox for implementing the fast marching algorithm within level set methods. The toolbox offers comprehensive functionality for solving Eikonal equations and propagating fronts efficiently using heap-based data structures. However, despite its robust capabilities, the toolbox's usage requires substantial preliminary knowledge. We recommend users first master fundamental concepts of level set methods - including signed distance functions and curvature-driven flows - and understand the fast marching algorithm's methodology for solving partial differential equations. Additionally, familiarity with MATLAB programming syntax, particularly matrix operations and function handle implementations, is essential. To facilitate comprehension, users may refer to online tutorials demonstrating practical applications like image segmentation and surface reconstruction, or consult specialized textbooks covering numerical implementations of Hamilton-Jacobi equations. This preparatory work will enable more flexible application of the toolbox's key functions such as distance transform calculations and boundary propagation, ultimately enhancing computational efficiency in geometric modeling and computer vision tasks.