A method for additive fabrication, comprising: sensing a first object using an imaging device of an additive fabrication system to determine sensed spatial characteristics of the first object represented in a first coordinate system; determining first numerical configuration information, including determining a relationship between the first coordinate system and a common coordinate system from a relationship of known spatial characteristics of the first object and the sensed spatial characteristics of the first object, the first numerical configuration information including a representation of a nonlinear relationship between the known spatial characteristics of the first object and the sensed spatial characteristics of the first object; fabricating a second object on a build platform of the additive fabrication system, including operating a printhead assembly of the additive fabrication system to deposit material forming the second object to have one or more known spatial characteristics represented in a second coordinate system; sensing the second object after fabrication using the imaging device configured according to the first numerical configuration information to determine sensed spatial characteristics of the second object represented in the common coordinate system; determining second numerical configuration information, including determining a relationship between the second coordinate system and the common coordinate system from a relationship of the known spatial characteristics of the second object and the sensed spatial characteristics of the second object in the common coordinate system; and configuring the additive fabrication system using one or both of the first numerical configuration information and the second numerical configuration information for fabrication of one or more objects according to models of said objects. sensing a first object using an imaging device of an additive fabrication system to determine sensed spatial characteristics of the first object represented in a first coordinate system; determining first numerical configuration information, including determining a relationship between the first coordinate system and a common coordinate system from a relationship of known spatial characteristics of the first object and the sensed spatial characteristics of the first object, the first numerical configuration information including a representation of a nonlinear relationship between the known spatial characteristics of the first object and the sensed spatial characteristics of the first object; fabricating a second object on a build platform of the additive fabrication system, including operating a printhead assembly of the additive fabrication system to deposit material forming the second object to have one or more known spatial characteristics represented in a second coordinate system; sensing the second object after fabrication using the imaging device configured according to the first numerical configuration information to determine sensed spatial characteristics of the second object represented in the common coordinate system; determining second numerical configuration information, including determining a relationship between the second coordinate system and the common coordinate system from a relationship of the known spatial characteristics of the second object and the sensed spatial characteristics of the second object in the common coordinate system; and configuring the additive fabrication system using one or both of the first numerical configuration information and the second numerical configuration information for fabrication of one or more objects according to models of said objects.