Spherical Style Deformation on Single Component Models

In this study, we present a spherical style deformation algorithm to be applied on single component models that can deform the models with spherical style, while preserving the local details of the original models. Because 3D models have complex skeleton structures that consist of many components, the deformation around connections between each single component is complicated, especially preventing mesh self-intersections. To the best of our knowledge, there does not exist not only methods to achieve a spherical style in a 3D model consisting of multiple components but also methods suited to a single component. In this study, we focus on spherical style deformation of single component models. Accordingly, we propose a deformation method that transforms the input model with the spherical style, while preserving the local details of the input model. Specifically, we define an energy function that combines the as-rigid-as-possible (ARAP) method and spherical features. The spherical term is defined as ℓ2-regularization on a linear feature; accordingly, the corresponding optimization can be solved efficiently. We also observed that the results of our deformation are dependent on the quality of the input mesh. For instance, when the input mesh consists of many obtuse triangles, the spherical style deformation method fails. To address this problem, we propose an optional deformation method based on convex hull proxy model as the complementary deformation method. Our proxy method constructs a proxy model of the input model and applies our deformation method to the proxy model to deform the input model by projection and interpolation. We have applied our proposed method to simple and complex shapes, compared our experimental results with the 3D geometric stylization method of normal-driven spherical shape analogies, and confirmed that our method successfully deforms models that are smooth, round, and curved. We also discuss the limitations and problems of our algorithm based on the experimental results.