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to do is multiply this specular mask with the environment map, and you ll get variable amounts of reflection or shininess. The new rendering equation looks like this: C=L T+E M M is the specular mask. Simple enough Unfortunately, there s a wrinkle in our plans. You have three textures: T, E, and M. But the iPhone 3G has only two texture units! One common solution is to combine the specular mask into the alpha channel of the diffuse texture. That will keep the number of textures down to two so you can fit everything in a single pass. However, sometimes the alpha channel will already be in used to indicate transparency. It is also possible that a texture combiner is already in use if you re doing something more than a plain diffuse texture. In the case of Flower Garden, petals were rendered by interpolating two colors based on another texture, so a full texture combiner was used up, and I couldn t fit that plus the masked environment map. When that happens, the solution is to break up the rendering into two passes. The first pass draws the model with the original, diffuse texture, and the second pass draws the same polygons again but adds the environment map multiplied by the specular texture. This makes the rendering significantly more expensive, but the final effect is well worth it. Also, this frees one texture unit during the first pass, so you can use it as a detail map, light map, or any other technique that requires an extra texture. The new rendering equation is the following (each pass is in parentheses): C = (L T) + (E M) Figure 11-9 shows the new texture combiner setup.

32.8.1 Rockwell Hardness The Rockwell hardnesses are hardness numbers obtained by an indentation type of test based on the depth of the indentation due to an increment of load. The Rockwell scales are by far the most frequently used hardness scales in industry even though they are completely relative. The reasons for their large acceptance are the simplicity of the testing apparatus, the short time necessary to obtain a reading, and the ease with which reproducible readings can be obtained, the last of these being due in part to the fact that the testing machine has a direct-reading dial; that is, a needle points directly to the actual hardness value without the need for referring to a conversion table or chart, as is true with the Brinell, Vickers, or Knoop hardnesses. Table 32.2 lists the most common Rockwell hardness scales.

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Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

Listing 23-1 Data-Term program 1 (Continued).

Indenter 1 is a diamond cone having an included angle of 120 and a spherical end radius of 0008 in Indenters 2 and 3 are 1 16-in-diameter and 1 8-in-diameter balls, respectively In addition to the preceding scales, there are several others for testing very soft bearing materials, such as babbit, that use 1 4-in-diameter and 1 2-in-diameter ballsAlso, there are several superficial scales that use a special diamond cone with loads less than 50 kg to test the hardness of surface-hardened layers.

The particular materials that each scale is used on are as follows: the A scale on the extremely hard materials, such as carbides or thin case-hardened layers on steel; the B scale on soft steels, copper and aluminum alloys, and soft-case irons; the C scale on medium and hard steels, hard-case irons, and all hard nonferrous alloys; the E and F scales on soft copper and aluminum alloys The remaining scales are used on even softer alloys Several precautions must be observed in the proper use of the Rockwell scales The ball indenter should not be used on any material having a hardness greater than 50 RC; otherwise the steel ball will be plastically deformed or flattened and thus give erroneous readings Readings taken on the sides of cylinders or spheres should be corrected for the curvature of the surface.

Figure 11-9. Texture combiner setup for a two-pass rendering. The first pass has lighting plus a diffuse texture, and the second pass adds an environment map modulated by a mask.

Readings on the C scale of less than 20 should not be recorded or specified because they are unreliable and subject to much variation The hardness numbers for all the Rockwell scales are an inverse measure of the depth of the indentation Each division on the dial gauge of the Rockwell machine corresponds to an 80 106 in depth of penetration The penetration with the C scale varies between 00005 in for hard steel and 00015 in for very soft steel when only the minor load is applied The total depth of penetration with both the major and minor loads applied varies from 0003 in for the hardest steel to 0008 in for soft steel (20 RC) Since these indentations are relatively shallow, the Rockwell C hardness test is considered a nondestructive test and it can be used on fairly thin parts.

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