DAB: interactive haptic painting with 3D virtual brushes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Geometric modeling with splines: an introduction
Geometric modeling with splines: an introduction
Tight cocone: a water-tight surface reconstructor
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
ACM SIGGRAPH 2003 Papers
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Interpolation in Discrete Single Figure Medial Objects
CVPRW '06 Proceedings of the 2006 Conference on Computer Vision and Pattern Recognition Workshop
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Volumetric parameterization and trivariate b-spline fitting using harmonic functions
Proceedings of the 2008 ACM symposium on Solid and physical modeling
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
Technical Section: A divide-and-conquer approach for automatic polycube map construction
Computers and Graphics
Swept Volume Parameterization for Isogeometric Analysis
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
SMI 2012: Full Component-aware tensor-product trivariate splines of arbitrary topology
Computers and Graphics
SMI 2012: Full As-conformal-as-possible discrete volumetric mapping
Computers and Graphics
SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data
Computers and Graphics
SMI 2012: Mixed-element volume completion from NURBS surfaces
Computers and Graphics
Constructing hexahedral shell meshes via volumetric polycube maps
Computer-Aided Design
Generalized Swept Mid-structure for Polygonal Models
Computer Graphics Forum
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Fitting polynomial volumes to surface meshes with Voronoï squared distance minimization
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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In this paper we present a methodology to create higher order parametric trivariate representations such as B-splines or T-splines, from closed triangle meshes with higher genus or bifurcations. The input can consist of multiple interior boundaries which represent inner object material attributes. Fundamental to our approach is the use of a midsurface in combination with harmonic functions to decompose the object into a small number of trivariate tensor-product patches that respect material attributes. The methodology is applicable to thin solid models which we extend using the flexibility of harmonic functions and demonstrate our technique, among other objects, on a genus-1 pelvis data set containing an interior triangle mesh separating the cortical part of the bone from the trabecular part. Finally, a B-spline representation is generated from the parameterization.