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673
Fitting Smooth Surfaces to Dense Polygon Meshes
 Proceedings of SIGGRAPH 96
, 1996
"... Recent progress in acquiring shape from range data permits the acquisition of seamless millionpolygon meshes from physical models. In this paper, we present an algorithm and system for converting dense irregular polygon meshes of arbitrary topology into tensor product Bspline surface patches with ..."
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Cited by 240 (5 self)
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Recent progress in acquiring shape from range data permits the acquisition of seamless millionpolygon meshes from physical models. In this paper, we present an algorithm and system for converting dense irregular polygon meshes of arbitrary topology into tensor product Bspline surface patches
Automatic reconstruction of Bspline surfaces of arbitrary topological type
 SIGGRAPH'96
, 1996
"... Creating freeform surfaces is a challenging task even with advanced geometric modeling systems. Laser range scanners offer a promising alternative for model acquisition—the 3D scanning of existing objects or clay maquettes. The problem of converting the dense point sets produced by laser scanners in ..."
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Cited by 173 (0 self)
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into useful geometric models is referred to as surface reconstruction. In this paper, we present a procedure for reconstructing a tensor product Bspline surface from a set of scanned 3D points. Unlike previous work which considers primarily the problem of fitting a single Bspline patch, our goal
Surface Reconstruction with Triangular Bsplines
"... This paper presents a novel modeling technique for reconstructing a triangular Bspline surface from a set of scanned 3D points. Unlike existing surface reconstruction methods based on tensorproduct Bsplines which primarily generate a network of patches and then enforce certain continuity (usually ..."
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This paper presents a novel modeling technique for reconstructing a triangular Bspline surface from a set of scanned 3D points. Unlike existing surface reconstruction methods based on tensorproduct Bsplines which primarily generate a network of patches and then enforce certain continuity
Convexity Conditions for Parametric TensorProduct Bspline Surfaces
, 1998
"... This paper provides four alternative sufficient conditionsets, ensuring that a patch of a parametric tensorproduct Bspline surface is locally convex. These conditions are at most triquadratic with respect to the control points of the surface. ..."
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Cited by 3 (1 self)
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This paper provides four alternative sufficient conditionsets, ensuring that a patch of a parametric tensorproduct Bspline surface is locally convex. These conditions are at most triquadratic with respect to the control points of the surface.
Multiresolution Surface Reconstruction For Hierarchical Bsplines
, 1995
"... This paper presents a method for automatically generating a hierarchical Bspline surface from an initial set of control points. Given an existing mesh of control points , a mesh with half the resolution , is constructed by simultaneously approximating the finer mesh while minimizing a smoothness co ..."
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Cited by 18 (0 self)
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This paper presents a method for automatically generating a hierarchical Bspline surface from an initial set of control points. Given an existing mesh of control points , a mesh with half the resolution , is constructed by simultaneously approximating the finer mesh while minimizing a smoothness
BSpline Surfaces with Knot Segments
, 1994
"... . This report presents a generalization of tensorproduct Bspline surfaces. The new scheme permits knots whose endpoints lie in the interior of the domain rectangle of a surface. This allows local refinement of the knot structure for approximation purposes as well as modeling surfaces with local ta ..."
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. This report presents a generalization of tensorproduct Bspline surfaces. The new scheme permits knots whose endpoints lie in the interior of the domain rectangle of a surface. This allows local refinement of the knot structure for approximation purposes as well as modeling surfaces with local
A Geometric BSpline Over the Triangular Domain
"... I hereby declare that I am the sole author of this thesis. This is a true copy of my thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii For modelling curves, Bsplines [3] are among the most ..."
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versatile control schemes. However, scaling this technique to surface patches has proven to be a nontrivial endeavor. While a suitable scheme exists for rectangular patches in the form of tensor product Bsplines, techniques involving the triangular domain are much less spectacular. The current cutting
C code for modeling smooth freeform surfaces of arbitrary patchlayout with linearlytrimmed bicubic Bsplines (NURBS)
, 1997
"... The routine Pcp2Nurb is a key building block in overcoming topological constraints in the mathematical modeling of smooth surfaces. On input of a ninepoint subnet of a planarcut polyhedron, this routine outputs bicubic NURBS patches. The bicubic patches join smoothly to form a surface following th ..."
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Cited by 1 (1 self)
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the outlines of the planarcut polyhedron in the manner traditional tensorproduct splines follow the outline of their rectilinear control polyhedron. A rectilinear polyhedron is a special case of a planarcut polyhedron. Conversely, a planarcut polyhedron is a generalization of the tensor control structure
Computing Values and Derivatives of Bézier and Bspline Tensor Products
 In Computer Aided Geometric Design
, 1993
"... When evaluating tensor product surfaces it is often necessary to calculate both the position and the normal to the surface. We give an efficient algorithm for evaluating Bézier and Bspline tensor products for such information. The algorithm is an extension of a method for computing the position and ..."
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Cited by 8 (2 self)
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When evaluating tensor product surfaces it is often necessary to calculate both the position and the normal to the surface. We give an efficient algorithm for evaluating Bézier and Bspline tensor products for such information. The algorithm is an extension of a method for computing the position
Geometric Modelling With Multivariate BSplines
, 1986
"... The tensor product Bspline surface, while regarded as a powerful boundary representation for computer aided geometric design (CAGD), still suffers restrictions because of its inherent rectangular nature. One manifestation of this problem is the difficulty of modelling nonrectangular regions. The ne ..."
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Cited by 1 (0 self)
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The tensor product Bspline surface, while regarded as a powerful boundary representation for computer aided geometric design (CAGD), still suffers restrictions because of its inherent rectangular nature. One manifestation of this problem is the difficulty of modelling nonrectangular regions
Results 1  10
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673