Abstract: The dual cameras produce two simultaneous images IM1 and IM2 for a picture. To solve for Z depths, first define a set of grids {S1, S2 . . . Sk|k any integer}. The images of the grids will be used to construct a set of 3D surfaces {SF1, SF2 . . . SFk|k any integer}. Then a Z-depth function evaluator EV will be constructed by using those 3D surfaces {SF1, SF2 . . . SFk|k any integer}. Finally, for any point P on the first image IM1, EV can be used to calculate the Z-depth of P. Then reconstruct all the 3D coordinates of the objects, separate and extract all the objects in the image.

Abstract: The invention is a motion training method. The motion of golf swing will be emphasized. In order to guide a golfer through a proper swing, his/her swing must be analyzed first. To analyze the swing, a set of frame photos will be needed. From those frame photos, the invented method will provide a rule based method to calculate the body mechanics/forces of the golfer. Once the body mechanics/forces are known, the system will then determine the swing is correct or incorrect. If the swing is incorrect, the system will then make suggestions to the golfer about how to correct his/her swing.

Abstract: The invention is a motion training method. The motion of golf swing will be emphasized. In order to guide a golfer through a proper swing, his/her swing must be analyzed first. To analyze the swing, a set of frame photos will be needed. From those frame photos, the invented method will provide a rule based method to calculate the body mechanics/forces of the golfer. Once the body mechanics/forces are known, the system will then determine the swing is correct or incorrect. If the swing is incorrect, the system will then make suggestions to the golfer about how to correct his/her swing.

Abstract: To find the intersection curves of the two given surfaces, is required in many operation such as NC machining and solid geometric modeling surface creation. Normally, the intersection of two surfaces is not unique. In order to generate a proper tool path or to create a correct boundary surface, all the intersection curves must be found.A new method of finding all the intersection curves of two surfaces has been developed. This new method is based on the use of a plane vector field VF induced by the two given surfaces. The system constructs the 2D vector field VF and uses the integral curves of VF to locate the first intersection curve SC. After the first intersection curve has been found, the system locates all the initial points on SC. Then, it follows the connecting curves of the initial points to locate the other intersection curves. Furthermore, the initial points on the newly found curves will lead the system to other intersection curves.