Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
The space of human body shapes: reconstruction and parameterization from range scans
ACM SIGGRAPH 2003 Papers
A review of vessel extraction techniques and algorithms
ACM Computing Surveys (CSUR)
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Linear rotation-invariant coordinates for meshes
ACM SIGGRAPH 2005 Papers
Segmenting reliefs on triangle meshes
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Mesh Segmentation - A Comparative Study
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Mesh quilting for geometric texture synthesis
ACM SIGGRAPH 2006 Papers
Interactive Tensor Field Design and Visualization on Surfaces
IEEE Transactions on Visualization and Computer Graphics
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Digital bas-relief from 3D scenes
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2007 papers
Non-iterative approach for global mesh optimization
Computer-Aided Design
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Folding meshes: hierarchical mesh segmentation based on planar symmetry
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Defining and computing curve-skeletons with medial geodesic function
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Computation of rotation minimizing frames
ACM Transactions on Graphics (TOG)
Skeleton extraction by mesh contraction
ACM SIGGRAPH 2008 papers
Medial Representations: Mathematics, Algorithms and Applications
Medial Representations: Mathematics, Algorithms and Applications
iWIRES: an analyze-and-edit approach to shape manipulation
ACM SIGGRAPH 2009 papers
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
A benchmark for 3D mesh segmentation
ACM SIGGRAPH 2009 papers
Proceedings of the twenty-fifth annual symposium on Computational geometry
Relief analysis and extraction
ACM SIGGRAPH Asia 2009 papers
Abstraction of man-made shapes
ACM SIGGRAPH Asia 2009 papers
Mesh scissoring with minima rule and part salience
Computer Aided Geometric Design - Special issue: Geometry processing
Segmenting periodic reliefs on triangle meshes
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Discrete scale axis representations for 3D geometry
ACM SIGGRAPH 2010 papers
Apparent layer operations for the manipulation of deformable objects
ACM SIGGRAPH 2010 papers
Point Cloud Skeletons via Laplacian Based Contraction
SMI '10 Proceedings of the 2010 Shape Modeling International Conference
Automatic reconstruction of tree skeletal structures from point clouds
ACM SIGGRAPH Asia 2010 papers
Automatic reconstruction of tree skeletal structures from point clouds
ACM SIGGRAPH Asia 2010 papers
GlobFit: consistently fitting primitives by discovering global relations
ACM SIGGRAPH 2011 papers
Animated construction of line drawings
Proceedings of the 2011 SIGGRAPH Asia Conference
Slices: a shape-proxy based on planar sections
Proceedings of the 2011 SIGGRAPH Asia Conference
Computer Graphics Forum
Nonrigid Matching of Undersampled Shapes via Medial Diffusion
Computer Graphics Forum
L1-medial skeleton of point cloud
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Geometry curves: A compact representation for 3D shapes
Graphical Models
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Man-made objects often consist of detailed and interleaving structures, which are created using cane, coils, metal wires, rods, etc. The delicate structures, although manufactured using simple procedures, are challenging to scan and reconstruct. We observe that such structures are inherently 1D, and hence are naturally represented using an arrangement of generating curves. We refer to the resultant surfaces as arterial surfaces. In this paper we approach for analyzing, reconstructing, and manipulating such arterial surfaces. The core of the algorithm is a novel deformable model, called arterial snake, that simultaneously captures the topology and geometry of the arterial objects. The recovered snakes produce a natural decomposition of the raw scans, with the decomposed parts often capturing meaningful object sections. We demonstrate the robustness of our algorithm on a variety of arterial objects corrupted with noise, outliers, and with large parts missing. We present a range of applications including reconstruction, topology repairing, and manipulation of arterial surfaces by directly controlling the underlying curve network and the associated sectional profiles, which are otherwise challenging to perform.