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  2. Non-uniform rational B-spline - Wikipedia

    en.wikipedia.org/wiki/Non-uniform_rational_B-spline

    NURBS have the ability to exactly describe circles. Here, the black triangle is the control polygon of a NURBS curve (shown at w=1). The Blue dotted line shows the corresponding control polygon of a B-spline curve in 3D homogeneous coordinates, formed by multiplying the NURBS by the control points by the corresponding weights. The blue ...

  3. NURMS - Wikipedia

    en.wikipedia.org/wiki/NURMS

    NURMS are used in commercial 3D packages such as Autodesk 3ds Max to perform mesh smoothing operations. The mesh smooth modifier in 3ds Max operates by applying this algorithm to a low-polygon mesh and creates a high-polygon smoothed mesh. The new mesh can be dynamically manipulated by the low-polygon mesh to achieve the desired results.

  4. Computational human phantom - Wikipedia

    en.wikipedia.org/wiki/Computational_human_phantom

    Design of this type of phantom is realized by Non-Uniform Rational B-Spline (NURBS) method or polygonal mesh method, which are usually collectively called BREP methods. Compared to the voxel phantoms, BREP phantoms are better suited for geometry deformation and adjustment, because a larger set of computerized operations are available, such as ...

  5. Polygonal modeling - Wikipedia

    en.wikipedia.org/wiki/Polygonal_modeling

    A polygon mesh of a dolphin In 3D computer graphics , polygonal modeling is an approach for modeling objects by representing or approximating their surfaces using polygon meshes . Polygonal modeling is well suited to scanline rendering and is therefore the method of choice for real-time computer graphics .

  6. Polygon mesh - Wikipedia

    en.wikipedia.org/wiki/Polygon_mesh

    In 3D computer graphics and solid modeling, a polygon mesh is a collection of vertices, edge s and face s that defines the shape of a polyhedral object's surface. It simplifies rendering, as in a wire-frame model. The faces usually consist of triangles (triangle mesh), quadrilaterals (quads), or other simple convex polygons .

  7. Solid modeling - Wikipedia

    en.wikipedia.org/wiki/Solid_modeling

    However, rather than complex data structures and NURBS, a simple surface mesh of vertices and edges is used. Surface meshes can be structured (as in triangular meshes in STL files or quad meshes with horizontal and vertical rings of quadrilaterals), or unstructured meshes with randomly grouped triangles and higher level polygons.

  8. Rhinoceros 3D - Wikipedia

    en.wikipedia.org/wiki/Rhinoceros_3D

    Rhinoceros geometry is based on the non-uniform rational B-spline (NURBS) mathematical model, which focuses on producing mathematically precise representation of curves and freeform surfaces in computer graphics (in contrast to a polygon mesh mathematical model).

  9. Vector graphics - Wikipedia

    en.wikipedia.org/wiki/Vector_graphics

    Irregular three-dimensional surfaces and solids, are usually defined as a connected set of polygons (e.g., a polygon mesh) or as parametric surfaces (e.g., NURBS). Fractals, often defined as an iterated function system. In many vector datasets, each shape can be combined with a set of properties.