Abstract. An affirmative answer to the question in the title is proved in the plane by showing that any real analytic multicurve can be uniquely determined from its generalized visual angles given at every point of an open ring around the multicurve.

DOI: 10.14232/actasm-015-299-1

AMS Subject Classification (1991): 0052, 0054, 52A10; 44A12

Keyword(s): visual angle, masking function, Steinhaus, Crofton

Received July 1, 2015, and in revised form September 22, 2015. (Registered under 49/2015.)