A shape estimating apparatus includes an acquiring unit and an estimating unit. The acquiring unit is configured to acquire a two-dimensional image. The estimating unit has artificial intelligence, and is configured to provide the artificial intelligence with the two-dimensional image and cause the artificial intelligence to estimate a three-dimensional shape of a subject of the two-dimensional image. A learning result of machine learning performed using learning data containing supervisor data expressing a three-dimensional shape of a sample subject and a sample two-dimensional image obtained by capturing an image of the three-dimensional shape of the sample subject is set to the artificial intelligence.