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Jul 31, 2024 · Computer graphics provide a powerful tool for creating and manipulating graphical objects such as lines, circles, and polygons. A circle is one of the fundamental shapes used in computer graphics and it is generated through a circle generation algorithm. A circle generation algorithm is an algorithm used to create a circle on a computer screen. It
Wireframe modeling is a foundational geometric modeling approach in CAD software, representing a three-dimensional geometric model through a network of lines and curves. These elements, known as edges, outline the structure of the object's geometry without delving into surface details. It is a "minimalist" representation, focusing solely on the ...
- Introduction to Geometry For Computer Graphics
- Points
- Curves
- 2D Shapes
- Transformations
- Conclusion
In this article we're going to look at some of the basic geometric constructs we commonly use in computer graphics, with an emphasis on those for real-time graphics and games. Geometry is a large and exciting topic, but we're only going to touch on a few interesting aspects in this intro article. When we're making a CG scene, be it for a game or an...
Points are the fundamental building block for meshes and are very important in how we define geometry that is destined for the graphics card.
Curves are very important for computer graphics. Some 3D modelling operations rely on them. You'll see them in 2D vector or raster graphics libraries and programs (E.g. Inkscape, Illustrator, Photoshop). Curves are also very important for things like animation. They are used to define the motion paths for objects and cameras, to describe how their ...
There are various different 2D shapes and properties that we could discuss, but these are mostly early maths concepts and I want to point out a few issues with polygons and triangles. For lines, or specifically line segments, we took the concept of a point and connected two of them together. The whole idea of 2D shapes is that we extend this furthe...
Once we have defined a set of shapes, it's usual to want to move them around in some way. It's worth looking at some definitions and classifications before we look at the maths for these transforms:
This article has been a gentle introduction to some exciting geometric concepts in computer graphics. We've barely scratched the surface of the topic but already there are some important points I suggest you take away: 1. We use a position vector to define a vertex (a point in space). 2. Triangles are great. You gotta love triangles. We use three v...
Jun 10, 2015 · Computer graphics uses flat triangles to approximate smooth surfaces, but if you're willing to allow triangles to bend a bit, then you can build any surface by gluing enough of them together. This ...
In 3D computer graphics, a wire-frame model (also spelled wireframe model) is a visual representation of a three-dimensional (3D) physical object. It is based on a polygon mesh or a volumetric mesh, created by specifying each edge of the physical object where two mathematically continuous smooth surfaces meet, or by connecting an object's constituent vertices using (straight) lines or curves.
Mar 4, 2021 · Polygonal models are very similar to the geometric shapes you probably learned about in middle school. Just like a basic geometric cube, 3D polygonal models are comprised of faces, edges, and vertices. In fact, most complex 3D models start as a simple geometric shape, like a cube, sphere, or cylinder. These basic 3D shapes are called object ...
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Polygons are fundamental to 3D modeling. Every polygon is formed by at least three vertices and edges coming together to create a closed shape. Three vertices, or points, makes a triangle—tri for short. Four of them makes a quad. It’s industry standard to only use tris and quads in a mesh as much as possible.
