Abstract
Canonical extrinsic representations for non-rigid shapes with different poses are preferable in many computer graphics applications, such as shape correspondence and retrieval. The main reason for this is that they give a pose invariant signature for those jobs, which significantly decreases the difficulty caused by various poses. Existing methods based on multidimentional scaling (MDS) always result in significant geometric distortions. In this paper, we present a novel shape unfolding algorithm, which deforms any given 3D shape into a canonical pose that is invariant to non-rigid transformations. The proposed method can effectively preserve the local structure of a given 3D model with the regularization of local rigid transform energy based on the shape deformation technique, and largely reduce geometric distortion. Our algorithm is quite simple and only needs to solve two linear systems during alternate iteration processes. The computational efficiency of our method can be improved with parallel computation and the robustness is guaranteed with a cascade strategy. Experimental results demonstrate the enhanced efficacy of our algorithm compared with the state-of-the-art methods on 3D shape unfolding.
Highlights
The canonical form of 3D shape is very useful for computer graphics applications, such as shape retrieval [1,2,3], shape correspondence [4,5,6] and texture mapping [7,8], as it largely reduces the complexity of 3D shapes caused by various poses
A popular and commonly used method to obtain canonical forms of 3D shapes is multidimentional scaling (MDS), which comes in classical [9,10], least-squares [11,12,13], and landmark forms [14,15,16,17]
We proposed a novel 3D mesh canonical form generation algorithm based on shape deformation technique
Summary
The canonical form of 3D shape is very useful for computer graphics applications, such as shape retrieval [1,2,3], shape correspondence [4,5,6] and texture mapping [7,8], as it largely reduces the complexity of 3D shapes caused by various poses. Our model is very simple which only needs to solve linear systems during alternate iteration process It can well preserve the rigidity of the original shape and reduce the geometric distortions as rigid transform energy [19] is considered. The proposed approach doesn’t need to calculate the pairwise geodesic distances and has no tedious operation processes, which are timing-consuming and difficult to control. A novel shape unfolding method is proposed for non-rigid 3D mesh based on shape deformation technique. It makes the local deformation be approximately rigid and more details can be preserved. Cascade strategy is used to effectively prevent mesh overstretching
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