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This paper presents a new algorithm for generating 3D images of B-reps objects with trimmed surfaceboundaries.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 connectivityand fidelity requirements.Adaptive Forward Differencing matrix(AFD-matrix)for 1D-3D manifoldsin 3D space is developed.By setting rules to update the AFD-matrix,the forward difference direction andstepwise can be adjusted.Finally,an efficient algorithm is presented based on the AFD-matrix conceptfor converting the object in 3D space to 3D image in 3D discrete space.
This paper presents a new algorithm for generating 3D images of B-reps objects with trimmed surfaceboundaries. 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 objects are introduced which imply the connectivity and fidelity requirements. Adaptive Forward Differencing Matrix (AFD-matrix) for 1D-3D manifoldsin 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.