House arrest is a judge's sentence. For examples:

Martha Stewart was sentenced to five months of house arrest following her release from prison on March 4, 2005.
Paris Hilton, an heiress and socialite, was re-assigned to house arrest on June 7, 2007, but was ordered back to prison on June 8, 2007 to serve the remainder of her 45-day sentence for violating probation from a prior DUI conviction.

But, individuals under partial house arrest and similar control orders have not been convicted of any crime. Individuals might nor been charged with any offence. Yet they do suffer a real deprivation of liberty, and so do their family members.