Is it possible to {activate|de-activate} SIGFPE generation only for some specific C++11 code segments?

I am writing a path tracer in C++11, on Linux, for the numerical simulation of light transport and I am using

#include <fenv.h>
...
feenableexcept( FE_INVALID   | 
                FE_DIVBYZERO | 
                FE_OVERFLOW  | 
                FE_UNDERFLOW );

in order to catch and debug any numerical errors that may eventually occur during execution.

At some point in the code I have to compute the intersection of rays (line segments) against axis-aligned bounding boxes (AABBs). For this computation I am using a very optimized and robust ray-box intersection algorithm which relies on the generation of some special values (e.g. NaN and inf) described in the IEEE 754 standard. Obviously, I am not interested in catching floating point exceptions generated specifically by this ray-box intersection routine.

Thus, my questions are:

1. Is it possible to deactivate the generation of floating point exception signals (SIGFPE) for only some sections of the code (i.e. for the ray-box intersection code section)?
2. When we are calculating simulations we are very concerned about performance. In the case that it is possible to suppress exception signals only for specific code sections, can this be done at compile time (i.e. instrumenting/de-instrumenting code during its generation, such that we could avoid expensive function calls)?

Thank you for any help!