A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Constrained Delaunay triangulations
SCG '87 Proceedings of the third annual symposium on Computational geometry
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Displaced subdivision surfaces
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Optimally cutting a surface into a disk
Proceedings of the eighteenth annual symposium on Computational geometry
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the conference on Visualization '01
Seamster: inconspicuous low-distortion texture seam layout
Proceedings of the conference on Visualization '02
Bounded-distortion piecewise mesh parameterization
Proceedings of the conference on Visualization '02
Computer Aided Geometric Design
Suggestive contours for conveying shape
ACM SIGGRAPH 2003 Papers
SMI '04 Proceedings of the Shape Modeling International 2004
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ABF++: fast and robust angle based flattening
ACM Transactions on Graphics (TOG)
Image vectorization using optimized gradient meshes
ACM SIGGRAPH 2007 papers
Apparent ridges for line drawing
ACM SIGGRAPH 2007 papers
An Effective Illustrative Visualization Framework Based on Photic Extremum Lines (PELs)
IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH 2008 papers
Diffusion curves: a vector representation for smooth-shaded images
ACM SIGGRAPH 2008 papers
How well do line drawings depict shape?
ACM SIGGRAPH 2009 papers
Rendering surface details with diffusion curves
ACM SIGGRAPH Asia 2009 papers
A local/global approach to mesh parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
Analysis, reconstruction and manipulation using arterial snakes
ACM SIGGRAPH Asia 2010 papers
Volumetric modeling with diffusion surfaces
ACM SIGGRAPH Asia 2010 papers
Spin transformations of discrete surfaces
ACM SIGGRAPH 2011 papers
Real-Time Shape Illustration Using Laplacian Lines
IEEE Transactions on Visualization and Computer Graphics
Freeform vector graphics with controlled thin-plate splines
Proceedings of the 2011 SIGGRAPH Asia Conference
Diffusion curve textures for resolution independent texture mapping
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Design-driven quadrangulation of closed 3D curves
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
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We propose a novel compact surface representation, namely geometry curves, which record the essence of shape geometry and topology. The geometry curves mainly contain two parts: the interior and boundary lines. The interior lines, which correspond to the feature lines, record the geometry information of the 3D shapes; the boundary lines, which correspond to the boundary or fundamental polygons, record the topology information of the 3D shapes. As a vector representation, geometry curves can depict highly complex geometry details. The concept of geometry curves can be utilized in many potential applications, e.g., mesh compression, shape modeling and editing, animation, and level of details. Furthermore, we develop a procedure for automatically constructing geometry curves which obtain an excellent approximation to the original mesh.