Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Evaluating the volume spt out by a three-dimensional (3D) object as it moves along an arbitrary path is of interest to many areas of CAD and CAM, such as mechanism design and robot path planning.  shows how envelope theory from differential geometry can be used to find the volumes spt out by the individual surfaces of a solid body, and how computer algebra methods may be of use to perform the computations involved. Finally, a new algorithm is presented which shows how the results of seping the individual surfaces of a solid body can be combined to form a new 3D model of the spt volume. This algorithm has strong resemblance to hidden line algorithms, but works in one dimension higher.
['Ralph Robert Martin', 'P. C. Stephenson']
I am writing a research paper on a idea Sweeping of three-dimensional objects
[{"from": "human", "value": "I am writing a research paper on a idea Sweeping of three-dimensional objects"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Evaluating the volume spt out by a three-dimensional (3D) object as it moves along an arbitrary path is of interest to many areas of CAD and CAM, such as mechanism design and robot path planning.  shows how envelope theory from differential geometry can be used to find the volumes spt out by the individual surfaces of a solid body, and how computer algebra methods may be of use to perform the computations involved. Finally, a new algorithm is presented which shows how the results of seping the individual surfaces of a solid body can be combined to form a new 3D model of the spt volume. This algorithm has strong resemblance to hidden line algorithms, but works in one dimension higher."}]