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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.
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 ...
ICRP-89 reference body and organ values were used to adjust NURBS surfaces. In 2009 Cassola et al. [44] at the Federal University of Pernambuco, Brazil, developed a pair of polygonal mesh-based phantoms in standing posture, FASH (Female Adult meSH) and MASH (Male Adult meSH). The methodology is very similar but not entirely identical to the one ...
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 .
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 .
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.
A NURBS curve represents a 1D perfectly smooth curve in 2D or 3D space. To represent a three-dimensional solid object, or a patch of one, B-Spline or NURBS curves are extended to surfaces. These surfaces consist of a rectangular grid of control points, called a control grid or control net, and two knot vectors, commonly called U and V.
While point clouds can be directly rendered and inspected, [10] [11] point clouds are often converted to polygon mesh or triangle mesh models, non-uniform rational B-spline (NURBS) surface models, or CAD models through a process commonly referred to as surface reconstruction. There are many techniques for converting a point cloud to a 3D ...