The application discloses a kind of support structure automatic generation method,
system and equipment supporting 3D printing forming, it is related to 3D printing field, method includes: generating multiple vertical planes according to
fixed interval,
vertical plane is respectively with first and second sheet model intersection, obtain multiple first and second intersection
contour line, with the contour point of first intersection
contour line vertically downward and second intersection
contour line intersection, select the nearest intersection point below contour point, obtain the corresponding point of first intersection contour line corresponding group, detect whether lower intersection point is on the same numbered second intersection contour line between two corresponding intersection points in group, according to detection result, construct the
triangular facet of support structure, according to the
triangular facet of support structure, construct support model, according to support model, generate support structure.The application can shorten the time of generating sheet, connecting support structure, and make the sheet, connecting support structure generated not prone to appear through die phenomenon.