Apparatus, assemblies, systems, and methods for inserting a snare into a body and capturing objects. A surgical snare device includes a steerable deflection portion with a steerable distal tip. An interface is linked to the steerable deflection portion to selectively manipulate the distal tip. A snare loop disposed at the distal tip can have a length that remains substantially constant as the distal tip is deflected and the snare loop moves in concert with the distal tip. A snare loop having a width larger than an internal width of the body lumen may be collapsed using a loop collapsing mechanism that reduces the width of the snare loop prior to, or during, insertion of the snare loop into the body lumen.
