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Affine registration can fit the non-rigid deformation of slices effectively, and it is widely used in volume reconstruction of biological tissue. But most of the existing affine registration methods are registered in a given sequence, which results in the accumulation of errors. In this paper, a global optimized affine registration method is proposed, which can be used in volume reconstruction. To eliminate the cumulative error, the affine transformation of all images is estimated simultaneously based on an energy function. A soft penalty on affine transformation is added to restrict the shearing of images. Experiments show that our method provides a more reliable registration result compared with sequential affine registration. It can solve the problems caused by the accumulation of errors. The registration result fits the deformation of slices well and preserves the rigidity of images.

Ground fissures often appear to be linear cracks on the earth's surface, but spatial curved surfaces cutting through the superficial stratum in the longitudinal direction beneath the ground. How to express such kind curved surface in digital form is unprecedented. But certainly, the digital models of ground fissures' spatial curved surfaces will undoubtedly affect and even directly determine the process and degree of the research work on the ground fissure hazard in digital environment. Base on the linear ground fissures data, and the top TIN and the bottom TIN of the Coarse Strata generated from boreholes, as well as a number of boundary conditions, this paper, for the first time, applied the TIN modeling technology to create and express ground fissures' spatial continuous curved surfaces, which run through the Coarse Strata and can carry out seamless integration, providing conditions for the creation and integration of geological 3D models and also offering reference to complex geological modeling. The digital presentation of ground fissures has two levels such as reappearance and simulation. This study shows that the digital model of ground fissures not only lays the foundation for reappearance, but also provides the possibility for simulation. Therefore, the digital model of ground fissures is the necessary premise for further probing into the ground fissure hazard by means of virtual reality technology.