VISION-EXAMPLE

Sylva, a level 140 thief, is sneaking around a crypt. To get to the treasure room, Sylva will have to sneak past a variety of guards, including a level 90 human guard, a level 90 dwarven guard, a level 140 dwarven guard, a level 140 elven mage, and a level 140 vampire. Sylva is also lucky enough to be buffed with a Lightshroud spell. Sylva is an excellent sneaker, and knows Sneak to 90%. Sylva also has Incognito to 90%.

The Sneak skill does two things for Sylva. First it gives her a base 100% Lightshroud and 50% Heatshroud effect and second, it improves all of her shrouds. Sylva also gets a 100% lightshroud effect from her Lightshroud buff spell. Sylva has no Lifeshrouding at all though. Thus Sylva's net shrouding is:

Shrouding:  90% (Sneak) + 90% (Incognito) / 2 = 135% (2.35 multiplier)
Lightshroud  (100% (sneak) + 100% (spell)) * 2.35 = 470%
Heatshroud   50% (sneak) * 2.35 = 117.5%
Lifeshroud   0% * 2.35 = 0%

The level 90 human guard will have no chance of spotting Sylva. The human guard only has lightsight and Sylva has an amazing 470% Lightshroud. Furthermore, the human guard is much lower level than Sylva which will further erode his chances.

The level 90 dwarven guard, like the human guard, will have no chance of seeing Sylva using lightsight. However, the dwarf also has infravision and Sylva's heatshrouding is only 117.5%. However, 117.5% is still good and Sylva is much higher level so the dwarf guard will probably still have no chance of seeing Sylva.

The level 140 dwarven guard might be able to see Sylva with his infravision. Most likely, the dwarven guard will see Sylva some of the time, and miss her at other times. Sylva should use her Hide skill to double her heatshrouding to 235% (117.5*2) if she has to linger in the same room with this guard. The dwarven guard would have had a decent chance at seeing Sylva if he had also been buffed with True Seeing as this would further improve his infravision.

The level 140 elven mage has a similar chance to see Sylva that the 140 dwarven guard does as they both have infravision and are the same level. However, the elven mage has buffed herself with the Lightsight spell. Unfortunately, this buff will probably not help the mage in this particular case as Sylva's lightshrouding is more than four times better than her heatshrouding. If the elven mage sees Sylva, it will probably be though infravision.

The level 140 vampire will laugh at the ease at which it spots Sylva. Sylva has 0% lifeshrouding ... a level 1 skeleton would see her! Sylva will probably have to fight this guard for the treasure.