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We propose a general and fully automatic framework for 3D facial expression recognition by modeling sparse representation of conformal images. According to Riemann Geometry theory, a 3D facial surface S embedded in ℝ3, which is a topological disk, can be conformally mapped to a 2D unit disk D through the discrete surface Ricci Flow algorithm. Such a conformal mapping induces a unique and intrinsic...
Motivated by mobile sensor networks as in participatory sensing applications, we are interested in developing a practical, lightweight solution for routing in a mobile network. While greedy routing is robust to mobility, location errors and link dynamics, it may get stuck in a local minimum, which then requires non-trivial recovery methods. We follow the approach taken by Sarkar et. al. [24] to find...
Shape analysis has fundamental importance in computer vision, including surface matching, registration, tracking, classification, recognition, etc. Computational methods based on conformal geometry can map any 3D surface to a 2D canonical domain. They provide a novel approach to 3D problems by converting them to 2D problems, which greatly simplifies the computation process. With this framework, we...
In a sensor network there are many paths between a source and a destination. An efficient method to explore and navigate in the `path space' can help many important routing primitives, in particular, multipath routing and resilient routing (when nodes or links can fail unexpectedly) as considered in this paper. Both problems are challenging for a general graph setting, especially if each node cannot...
In this paper, we introduce a new approach for partial 3D face recognition, which makes use of shape decomposition over the rigid part of a face. To explore the descriptiveness of shape dissimilarity over an isometric part of a face, which has lower probability to be influenced by expression, we transform a 3D shape to a 2D domain using conformal mapping and use shape decomposition as a similarity...
Recently, various conformal geometric methods have been presented for non-rigid surface matching and registration. This work proposes to improve the robustness of conformal geometric methods to the boundaries by incorporating the symmetric information of the input surface. We presented two symmetric conformal mapping methods, which are based on solving Riemann-Cauchy equation and curvature flow respectively...
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