Mathematics

Constructing Complex Shapes with Signed Distance Functions: The Heart Example
In this notebook, we’ll implement a signed distance function for a heart shape using Python and visualize it using matplotlib.
Seyed Sadjad Abedi-Shahri
Apr 7, 2024 5 min read
Project
Constructing Complex Shapes with Signed Distance Functions: The Heart Example
Exploring Boolean Operations in SDFs: Union, Difference, and Intersection
In our previous explorations of Signed Distance Functions (SDFs), we unveiled their power in representing and manipulating geometric shapes. We also delved into the intricacies of SDFs for lines and rectangles. Now, let’s unlock the potential of Boolean operations on SDFs, enabling the creation of even more complex shapes.
Seyed Sadjad Abedi-Shahri
Mar 18, 2024 4 min read
Project
Exploring Boolean Operations in SDFs: Union, Difference, and Intersection
Mathematics of 2D Shapes: Line and Rectangle SDFs Unveiled
In our previous exploration of Signed Distance Functions (SDFs), we demystified their role in representing and manipulating geometric shapes. Now, let’s delve deeper into the mathematical intricacies of SDFs, focusing specifically on lines and rectangles in 2D geometry.
Seyed Sadjad Abedi-Shahri
Dec 15, 2023 3 min read
Project
Demystifying Signed Distance Functions
In the realm of mathematics and computer graphics, signed distance functions (SDFs) play a pivotal role in representing and manipulating geometric shapes. Unlike traditional polygonal meshes, which store vertices and connectivity information, SDFs define shapes implicitly, offering a powerful and flexible approach to 3D modeling and simulation.
Seyed Sadjad Abedi-Shahri
Dec 10, 2023 4 min read
Project
Demystifying Signed Distance Functions