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Results 1 - 10
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22
Conversion of trimmed NURBS . . . Catmull-Clark subdivision surfaces
, 2014
"... We introduce a novel method to convert trimmed NURBS surfaces to untrimmed subdivision surfaces with Bézier edge conditions. We take a NURBS surface and its trimming curves as input, from this we automatically compute a base mesh, the limit surface of which fits the trimmed NURBS surface to a specif ..."
Abstract
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We introduce a novel method to convert trimmed NURBS surfaces to untrimmed subdivision surfaces with Bézier edge conditions. We take a NURBS surface and its trimming curves as input, from this we automatically compute a base mesh, the limit surface of which fits the trimmed NURBS surface to a
Sharp features on multiresolution subdivision surfaces
- In Proceedings of Pacific Graphics
, 2001
"... In this paper we describe a method for creating sharp features and trim regions on multiresolution subdivision surfaces along a set of user-defined curves. Operations such as engraving, embossing, and trimming are important in many surface modeling applications. Their implementation, however, is non ..."
Abstract
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Cited by 31 (4 self)
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subdivision framework. Preserving the original representation has the advantage that other operations applicable to multiresolution subdivision surfaces can subsequently be applied to the edited model. We also introduce an extended set of subdivision rules for Catmull-Clark surfaces that allows the creation
Lofting Curve Networks using Subdivision Surfaces
, 2004
"... Lofting is a traditional technique for creating a curved shape by first specifying a network of curves that approximates the desired shape and then interpolating these curves with a smooth surface. This paper addresses the problem of lofting from the viewpoint of subdivision. First, we develop a s ..."
Abstract
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Cited by 29 (4 self)
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subdivision scheme for an arbitrary network of cubic B-splines capable of being interpolated by a smooth surface. Second, we provide a quadrangulation algorithm to construct the topology of the surface control mesh. Finally, we extend the Catmull-Clark scheme to produce surfaces that interpolate the given
Filling an N-sided hole using combined subdivision schemes
, 1999
"... A new algorithm is presented for filling n-sided holes. The algorithm generates a subdivision surface which connects smoothly (G ) with the surface around the hole. The data to the algorithm consists of n boundary curves and cross boundary derivatives, given in any parametric form. The algorithm ..."
Abstract
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Cited by 3 (0 self)
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is based on Sabin's variant of CatmullClark scheme [1], which operates in the surface interior. Near the boundary we introduce new subdivision rules that involve the given boundary curves and crossboundary derivatives. The generated subdivision surface is G -continuous except at one extraordinary
An Incremental Approach to Feature Aligned Quad Dominant Remeshing
, 2008
"... In this paper we present a new algorithm which turns an unstructured triangle mesh into a quad-dominant mesh with edges aligned to the principal directions of the underlying geometry. Instead of computing a globally smooth parameterization or integrating curvature lines along a tangent vector field, ..."
Abstract
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Cited by 17 (3 self)
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-suited, e.g., as Catmull-Clark Subdivision control meshes.
Subdivision Surface Fitting to a Dense Mesh Using Ridges and Umbilics
"... Abstract: Fitting a sparse surface to approximate vast dense data is of interest for many applications: reverse engineering, recognition and compression, etc. The present work provides an approach to fit a Loop subdivision surface to a dense triangular mesh of arbitrary topology, whilst preserving a ..."
Abstract
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and aligning the original features. The natural ridge-joined connectivity of umbilics and ridge-crossings is used as the connectivity of the control mesh for subdivision, so that the edges follow salient features on the surface. Further more, the chosen features and connectivity characterise the overall shape
Feature Aligned Quad Dominant Remeshing using Iterative Local Updates
, 2009
"... In this paper we present a new algorithm which turns an unstructured triangle mesh into a quad-dominant mesh with edges well aligned to the principal directions of the underlying surface. Instead of computing a globally smooth parameterization or integrating curvature lines along a tangent vector fi ..."
Abstract
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Cited by 4 (0 self)
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-suited, e.g., as Catmull-Clark Subdivision control meshes.
Kinematic controls on the geometry of the preserved cross sets
, 2013
"... [1] The geometry of sedimentary strata records the dynamics of the surfaces that produced them. Cross strata are one of the most common features preserved in the stratigraphic record and are typically formed by migrating ripples, dunes, and bars. Cross-stratal geometry depends on the movement and sh ..."
Abstract
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that deformation is the sole cause of curved cross-set boundaries and define a quantitative relationship between the curvature of the bounding surfaces of the preserved cross sets and the deformation rate of the bed forms. The theoretical results compare well with experimental data of subaqueous, transverse bed
Second Order Smoothness over Extraordinary Vertices
"... Catmull & Clark subdivision is now a standard for smooth free-form surface modeling. These surfaces are everywhere curvature continuous except at points corresponding to vertices not incident on four edges. While the surface has a continuous tangent plane at such a point, the lack of curvature c ..."
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Catmull & Clark subdivision is now a standard for smooth free-form surface modeling. These surfaces are everywhere curvature continuous except at points corresponding to vertices not incident on four edges. While the surface has a continuous tangent plane at such a point, the lack of curvature
Approved by:
, 2006
"... ii iii CHRISTOPHER CHARLES WEIGLE: Displays for Exploration and Comparison of Nested ..."
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ii iii CHRISTOPHER CHARLES WEIGLE: Displays for Exploration and Comparison of Nested
Results 1 - 10
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22
