Readings in computer vision: issues, problems, principles, and paradigms
Least-Squares Estimation of Transformation Parameters Between Two Point Patterns
IEEE Transactions on Pattern Analysis and Machine Intelligence
Structural Indexing: Efficient 3-D Object Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Partial Surface and Volume Matching in Three Dimensions
IEEE Transactions on Pattern Analysis and Machine Intelligence
ICP Registration Using Invariant Features
IEEE Transactions on Pattern Analysis and Machine Intelligence
Assembling virtual pots from 3D measurements of their fragments
Proceedings of the 2001 conference on Virtual reality, archeology, and cultural heritage
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Robust repair of polygonal models
ACM SIGGRAPH 2004 Papers
Data Fusion and Multicue Data Matching by Diffusion Maps
IEEE Transactions on Pattern Analysis and Machine Intelligence
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Discrete laplace operator on meshed surfaces
Proceedings of the twenty-fourth annual symposium on Computational geometry
Global intrinsic symmetries of shapes
SGP '08 Proceedings of the Symposium on Geometry Processing
A hierarchical segmentation of articulated bodies
SGP '08 Proceedings of the Symposium on Geometry Processing
A concise and provably informative multi-scale signature based on heat diffusion
SGP '09 Proceedings of the Symposium on Geometry Processing
A multi-resolution approach to heat kernels on discrete surfaces
ACM SIGGRAPH 2010 papers
Multi-scale anisotropic heat diffusion based on normal-driven shape representation
The Visual Computer: International Journal of Computer Graphics - CGI'2011 Conference
Cultural Heritage: Symmetry and template guided completion of damaged skulls
Computers and Graphics
An automatic assembly and completion framework for fragmented skulls
ICCV '11 Proceedings of the 2011 International Conference on Computer Vision
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
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We develop a geometric reassembly algorithm that composes a 3D model from its fragments. One important application of this work is skull completion and modeling in archeology and forensics. Our reassembly algorithm employs a scale-space representation of shape based on the heat kernel, which only depends on the intrinsic geometry of the surfaces. Partial matching can then be conducted effectively. The entire assembly pipeline has three steps: (1) fragment-template matching based on heat-kernel; (2) matching refinement based on RANSAC and assembly computation; (3) assembly refinement using least square transformation error (LSTE) of break-curves. The main contribution of this paper is presenting novel algorithms for the first two steps. Experimental results on scanned skull fragments demonstrate the efficacy and robustness of our algorithm.