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smooth or coarse the object will render Having this kind of control can really help optimize a scene s rendering time If the object is far away from the camera, it can be rendered with a low tessellation setting The same piece of geometry can also be used in a close-up shot by increasing the tessellation setting With a polygonal object, however, two separate models would have to be built to optimize the overall polygon count of the scene: one low-resolution model for when the object is in the background, and a high-resolution model that will work for close-up shots

surface is tessellated, it is converted into polygonal faces that define the original shape Texture Coordinates By its rectangular nature, any point on a NURBS surface can be defined by a coordinate in the U and V directions Texture maps, such as bitmapped files that you might create in an image editing application like Photoshop, are also rectangular in nature, and their pixels are defined by coordinates in the X and Y directions Because of this congruent relationship, Maya is able to fit a texture map to a surface by matching these corresponding coordinate systems, allowing the texture to fit exactly on a surface and match its curvature, no matter how many twists or turns the surface makes With a polygon model, an entire process of laying out the UVs is necessary before any texturing can be done on an object The advantages are most evident in an example such as the one shown in Figure 5-10, where the surface is twisting so much that it would be difficult to map it using projections Because the texture has to be projected from a place in 3D space, much like a projector projects a slide or piece of film, this causes stretching and overlapping of the texture on curved or overlapping surfaces FIGURE 5-10 A texture applied to a NURBS surface in normal (UV) mode (left) versus a texture attempting to be mapped using planar projection (right)

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The result is shown in Figure 3-26 Many of the same options available with plot can be used with polar As a second example, let s suppose that we want to generate a polar plot of the function: r = 1 + 2 cos q where 0 q 6p, and display the resulting curve as a dashed line First let s define our new range for q

surface or several surfaces at once It uses primitive shapes to project the texture onto the geometry For example, a planar projection (shown in Figure 5-10) uses a flat plane to project the texture onto the surface However, you might also choose to use a cylindrical projection type if the object is cylindrical in shape, or a spherical projection if it is spherical in shape Projections are discussed in detail in 17 Conversion-Ability Maya allows you to convert any geometry type to another by using the Convert command (discussed in 7) Converting a NURBS model to polygons can produce the cleanest geometry, and it requires the least amount of cleanup due to the inherent orderliness and square-patch nature of FIGURE 5-11 A NURBS Surface (left) is neatly NURBS A conversion from NURBS to converted to a polygonal approximation (right) a polygon is illustrated in Figure 5-11 Notice that each square surface patch on the NURBS object is converted to a square polygonal face on the polygonal object It is even possible to specify how many polygonal faces should be created for every one surface patch on the NURBS surface so that the resulting polygonal object will appear smooth Many modelers prefer to build the initial surfaces with NURBS and then convert them to polygons or subdivision surfaces to add more rigid detail

While you can easily model just about anything using NURBS, most of the disadvantages with NURBS stem from the fact that more complex NURBS models are often made from multiple individual surfaces As a result, you have to deal with the problems described next Seams Probably the biggest problem with models built from NURBS has to do with the seams that can show between surfaces When using trimmed surfaces, which are discussed in 6, the solution is to try to match the tessellation between adjacent surfaces manually However, this usually results in heavy tessellation, which means a lot of polygons and hence longer render times

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