Operations
There are a very large number of operations which may be performed on polygonal meshes. Some of these roughly correspond to real-world manipulations of 3D objects, while others do not.
Polygonal mesh operations:
Creations - Create new geometry from some other mathematical object
Loft - generate a mesh by sweeping a shape along a path
Extrude - same as loft, except the path is always a line
Revolve - generate a mesh by revolving (rotating) a shape around an axis
Marching cubes - algorithm to construct a mesh from an implicit function
Binary Creations - Create a new mesh from a binary operation of two other meshes
Add - boolean addition of two meshes
Subtract - boolean subtraction of two meshes
Intersect - boolean intersection
Union - boolean union of two meshes
Attach - attach one mesh to another (removing the interior surfaces)
Chamfer - create a beveled surface which smoothly connected two surfaces
Deformations - Move only the verticies of a mesh
Deform - systematically move verticies (according to certain functions or rules)
Weighted Deform - move verticies based on localized weights per vertex
Morph - move verticies smoothly between a source and target mesh
Bend - move verticies to "bend" the object
Twist - move verticies to "twist" the object
Manipulations - Modify the geometry of the mesh, but not necessarily topology
Displace - introduce additional geometry based on a "displacement map" from the surface
Simplify - systematically remove and average verticies
Subdivide - smooth a course mesh by subdividing the mesh (Catmull-Clark, etc.)
Convex Hull - generate another mesh which minimally encloses a given mesh (think shrink-wrap)
Cut - create a hole in a mesh surface
Stitch - close a hole in a mesh surface
Measurements - Compute some value of the mesh
Volume - compute the 3D volume of a mesh (discrete volumetric integral)
Surface Area - compute the surface area of a mesh (discrete surface integral)
Collision Detection - determine if two complex meshes in motion have collided
Fitting - construct a parametric surface (NURBS, bicubic spline) by fitting it to a given mesh
Point-Surface Distance - compute distance from a point to the mesh
Line-Surface Distance - compute distance from a line to the mesh
Line-Surface Intersection - compute intersection of line and the mesh
Cross Section - compute the curves created by a cross-section of a plane through a mesh
Centroid - compute the centroid, geometric center, of the mesh
Center-of-Mass - compute the center of mass, balance point, of the mesh
Read more about this topic: Polygonal Modeling
Famous quotes containing the word operations:
“There is a patent office at the seat of government of the universe, whose managers are as much interested in the dispersion of seeds as anybody at Washington can be, and their operations are infinitely more extensive and regular.”
—Henry David Thoreau (1817–1862)
“A sociosphere of contact, control, persuasion and dissuasion, of exhibitions of inhibitions in massive or homeopathic doses...: this is obscenity. All structures turned inside out and exhibited, all operations rendered visible. In America this goes all the way from the bewildering network of aerial telephone and electric wires ... to the concrete multiplication of all the bodily functions in the home, the litany of ingredients on the tiniest can of food, the exhibition of income or IQ.”
—Jean Baudrillard (b. 1929)
“You can’t have operations without screams. Pain and the knife—they’re inseparable.”
—Jean Scott Rogers. Robert Day. Mr. Blount (Frank Pettingell)