1. A system of identifying a position and shape of at least a portion of an object or object portion in three-dimensional (3D) space, the system comprising: one or more processors coupled to memory, the memory loaded with computer instructions that, when executed on the processors, implement actions including: capturing, with a plurality of cameras, each camera having a particular vantage point, two or more images generated by casting an output from at least one source onto a portion of an object; analyzing the two or more images captured by the cameras from the particular vantage points to computationally represent the object portion, as captured, as one or more mathematically represented three-dimensional (3D) surfaces, each 3D surface corresponding to a cross-section of the object portion, based at least in part on a plurality of edge points of the object portion in the image, tangent lines extending from the cameras to at least two of the plurality of edge points and a centerline corresponding to the tangent lines; and reconstructing the position of and a shape fitting at least a portion of the object portion in 3D space based at least in part on the plurality of edge points and the centerline.