Search Results for "surface"

...These algorithms are useful in a wide range of applications, including computer aided design, robotics, molecular biology, medical imaging, geographic information systems and more. CGAL features a great range of data structures and algorithms, including Voronoi diagrams, cell complexes and polyhedra, triangulations, arrangements of curves, surface and volume mesh generation, spatial searching, alpha shapes, geometry processing, and many more. The use of these result in beautiful, visually complex and accurate representations.

...This makes it particularly suited for applications involving geospatial data, such as mapping, spatial indexing, and geographic information systems (GIS). The library provides a robust mathematical framework for spherical geometry, allowing developers to work with polygons, points, and regions on the Earth’s surface using consistent and precise algorithms. Unlike traditional 2D geometry libraries, S2 ensures accuracy over large scales by modeling the globe directly, avoiding distortions caused by map projections. The project includes core C++ support, optional Python bindings, and integrations with Bazel and CMake for flexible builds. It relies on Abseil, OpenSSL, and googletest, and is tested across major platforms.

...Change-log for MathMod-11.1 (16/06/2021) 1) Support of graphing functions with complex numbers Z=u+iv in 3D and 4D spaces (demo scripts: "Complex3D_xx" and "Complex4D_Saddle") 2) Added support for HSV (hue, saturation, brightness) coloring model (script: "Complex_Domain_Coloring") 3) Texture definitions (RGB and HSV) for parametric surfaces can now be expressed as functions of complex numbers 4) Added a software implementation for the OpenGL variable gl_FrontFacing (fixed an issue with GPU drivers on MacOSX Catalina). The activation of this patch is available from mathmodconfig.js ("OpenGlConfig"-->"GL_FrontFacingSupport"=false) or the GUI("Appearance"-->"OpenGL Front Surface Support") 5) Bug-fixes, code optimization and documentation update.

Surface Explorer 3D plots mathematical surfaces in 3D. User defined surface equations can be explicit, implicit, or parametric. Surface and color equations are specified by user. The user can export to the clipboard, or file formats including VRML, POV, DXF, STL, and output to a printer. The STL format can be used to do 3D printing to create a physical object.

NETGEN is an automatic 3d tetrahedral mesh generator. It accepts input from constructive solid geometry (CSG) or boundary representation (BRep) from STL file format. The connection to a geometry kernel allows the handling of IGES and STEP files. NETGEN contains modules for mesh optimization and hierarchical mesh refinement. Netgen is open source based on the LGPL license. It is available for Unix/Linux and Windows.

Alpha Plot can generate different types of 2D and 3D plots (such as line, scatter, bar, pie, and surface plots) from data that is either imported from ASCII files, entered by hand, or calculated using formulas. The data is held in spreadsheets which are referred to as tables with column-based data (typically X and Y values for 2D plots) or matrices (for 3D plots). The spreadsheets as well as graphs and note windows are gathered in a project and can be organized using folders.

Fraqtive is an open source, multi-platform generator of the Mandelbrot family fractals. It uses very fast algorithms supporting SSE2 and multi-core processors. It generates high quality anti-aliased images and renders 3D scenes using OpenGL. It allows real-time navigation and dynamic generation of the Julia fractal preview. Website: https://fraqtive.mimec.org/

A suite of mathematical software for 3-manifold topologists, focusing on the study of 3-manifold triangulations, normal surfaces and angle structures.

SurfaceEmbeder determines if a graph can be embedded into a surface and, if yes, it produces an embedding of the graph in the surface. Right now, only projective plane, torus and Klein bottle are supported. The program uses the OGDF library.

MESH is a tool that measures distortion between two discrete surfaces (triangular meshes) using the Hausdorff distance to compute a maximum, mean and root-mean-square errors between two given surfaces. It also displays the error values on the surface.

An OpenGL GUI for the inspection and segmentation of 3D surface meshes

The SurfaceBuilder turns a collection of programs for implicity surface triangulation. It is usefull for any high school math student.