Homotopical modeling as the basis of new CAD standard: homotopy CAD for collaboration engineering

We are making progress on a new CAD standard based on homotopy data. There are substantial limitations in CSG and BREPS. Although the research is still at the initial stages and has yet to achieve sufficient results, it should be noted that there are more enterprises focusing on the necessity of this new development than ever before. We explain why this new type of CAD is necessary. Then, we describe the present status and the future prospects for homotopy CAD. We have clarified which subjects need to be examined, and are ready to apply them for practical purposes, in the following stages: the creation of an analysis model; the creation of a facet model; and the linkage of CAD with CAM.