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how many spans the surfaces has Instead, the surface s parameter range can be reset to 0 to 1 using the Rebuild Surface command (Edit NURBS | Rebuild Surface)

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Much of the NURBS modeling process involves the constant rebuilding of curves and surfaces so that they maintain normal parameterization and have a matching number of spans for creating clean, orderly surfaces For example, a loft operation creates a surface between two or more curves (Lofting is discussed in detail in the section Surfaces later in this chapter) To generate the cleanest surface, the parameters of the source curves must match Figure 5-7 shows two surfaces that were generated by lofting two curves together The curves used to generate the surface on the left were created with the same number of spans (four) and, as a result, they had matching parameterization The structure of the lofted surface is clean and predictable You can tell this by looking at the even flow of isoparms that were created by connecting the edit points on the original curves As a modeler, you can predict exactly where these isoparms are going to intersect each curve The surface on the right was generated with two curves that had different parameterizations One curve had four spans and the other had seven When the curves were lofted together, Maya placed isoparms on the surface so that each isoparm corresponds to an edit point on each curve The resulting surface, then, contains ten spans in the U direction to compensate for the different parameterization of the source curves It s not as orderly as the surface on the left Just because two pieces of geometry have the same number of spans does not necessarily guarantee that they have matchFIGURE 5-7 The surface on the left was generated from two curves ing parameterization This that had the same number of spans The surface on the right was mainly becomes an issue generated by two curves that had a different number of spans when an operation is applied to a surface Whenever a surface is attached or detached or an isoparm is inserted, the parameterization of the geometry is affected When this occurs, the surfaces must be rebuilt immediately in order to reparameterize that value across the geometry.

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In order to understand this further, follow these steps:

These statements tell MATLAB that theta is defined as 0 q 2p We have chosen our increment to be p / 90 The call to generate a polar plot is:

Create a NURBS plane (Create | NURBS | Plane) and choose Edit NURBS | Rebuild Surface r to open the Rebuild Surface Options window, shown next Set the Parameter Range to 0 to #spans Set the Number of Spans for the U and V attributes to 4 and click Apply The NURBS plane now has four spans in the U and V direction and the parameter range goes from 0 to 4 You can verify this information in the Attribute Editor

RMB-click over the surface to access the component marking menu and choose isoparm Click and FIGURE 5-8 An isoparm is selected along a surface and drag an existing detached isoparm to select an isoparm that lies somewhere between the third and fourth span in the V direction, as shown in Figure 5-8 Remember, you can look in your menu bar to see what parameter you have selected

above the intermediate-term bear trendline we see impulsive price action as the market sprints higher At this point it is tricky to determine whether we have a new trend in place or simply a secondary rally just before a climax As long as we are below the long-term trendline, we assume the second case: We are seeing a secondary rally marked by impulsive price behavior that tends to fade quickly in the face of the more mature primary trend Note how the last candle on the 240-minute chart on the left would make it look to the untrained eye that EURJPY is in a good position to move higher and test the long-term trendline just below 14500, having just made a higher high to close above the previous week s high The long-term trendline above the price, however, provides a reminder of which way the primary trend still is pointed

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polar ( theta, r)

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