3D Image Synthesis for B-Reps Objects

This paper presents a new algorithm for generating 3D images of B-reps objects with trimmed surface boundaries.The 3D image is a discrete voxel-map representation within a Cubic Frame Buffer (CFB).The definition of 3D images for curve,surface and solid object are introduced which imply the connectivity and fidelity requirements.Adaptive Forward Differencing matrix (AFD-matrix) for 1D-3D manifolds in 3D space is developed.By setting rules to update the AFD-matrix,the forward difference direction and stepwise can be adjusted.Finally,an efficient algorithm is presented based on the AFD-matrix concept for converting the object in 3D space to 3D image in 3D discrete space.

3D image synthesis forB-reps objects

This paper presents a new algorithm for generating 3D images ofB-reps objects with trimmed surface boundaries. The 3D image is a discrete voxel-map representation within a Cubic Frame Buffer (CFB). The definition of 3D images for curve, surface and solid object are introduced which imply the connectivity and fidelity requirements. Adaptive Forward Differencing matrix (AFD-matrix) for 1D–3D manifolds in 3D space is developed. By setting rules to update the AFD-matrix, the forward difference direction and stepwise can be adjusted. Finally, an efficient algorithm is presented based on the AFD-matrix concept for converting the object in 3D space to 3D image in 3D discrete space.