Computational Geometry

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

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

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

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

pyPolyMesher: Polygonal mesh generator

pyPolyMesher is a Python library for polygonal mesh generation using signed distance functions.

QTREEMESH: Generating QuadTree Mesh from Images

QTREEMESH is a Python package designed for the creation of Quadtree structures from images, offering powerful spatial data organization.