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206
SurfaceBased Labeling of Cortical Anatomy Using a Deformable Atlas
"... Abstract—We describe a computerized method to automatically find and label the cortical surface in threedimensional (3D) magnetic resonance (MR) brain images. The approach we take is to model a prelabeled brain atlas as a physical object and give it elastic properties, allowing it to warp itself o ..."
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models are energyminimizing elastic surfaces that can accurately locate image features. The models are parameterized with 3D bicubic Bspline surfaces. We design the energy function such that cortical fissure (sulci) points on the model are attracted to fissure points on the image and the remaining
3D Shape Modelling through a Constrained Estimation of a Bicubic Bspline Surface
"... This paper presents a new method to extract the 3D shape of objects from 3D gray level images using a bicubic Bspline surface model. Extraction of object shape is achieved through a hierarchical surface fitting by exploiting the multiscale representation of the model. A strategy for converting the ..."
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This paper presents a new method to extract the 3D shape of objects from 3D gray level images using a bicubic Bspline surface model. Extraction of object shape is achieved through a hierarchical surface fitting by exploiting the multiscale representation of the model. A strategy for converting
Study on Modeling Method of the Precision Machined Surface Geometry form Error Based on BiCubic BSpline
"... Abstract—For precision mechanical system, the different 3d spatial distribution of form error causes different assembly contact state. Since 3d spatial distribution of form error is not taken account in modeling and evaluation method of geometric form error and it is hard to quantitatively analyze t ..."
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the relationship between form error and assembly accuracy of precision mechanical system, a modeling method of machined surface form error based on bicubic Bspline surface reconstruction is proposed. Firstly, a reconstruction algorithm of CMM date based on bicubic Bspline is proposed, so the mathematical model
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
Fairing Bicubic BSpline Surfaces Using Simulated Annealing
 CURVES AND SURFACES WITH APPLICATIONS IN CAGD, VANDERBILT
, 1997
"... In this paper we present an automatic fairing algorithm for bicubic Bspline surfaces. The fairing method consists of a knot removal and knot reinsertion step which locally smoothes the surface. The simulatedannealing search strategy is used to search for the global minimum of the fairing measu ..."
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Cited by 2 (0 self)
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In this paper we present an automatic fairing algorithm for bicubic Bspline surfaces. The fairing method consists of a knot removal and knot reinsertion step which locally smoothes the surface. The simulatedannealing search strategy is used to search for the global minimum of the fairing
Approximation of 3DParametric Functions by Bicubic Bspline Functions
, 2012
"... chi ve of S ID ..."
Removal of Gaps among Compound C<sup>1</sup> Bicubic Bspline Surface Patches
 in manuscript (presented at the NSF Design and Manufacturing Grantees Conference
"... . Manipulation of control points is a standard procedure in Bspline surface patch design. Unfortunately, this tool alone is not sufficient to achieve certain goals such as removing gaps among patches. In this paper, we introduce another approach for removing gaps but maintaining the geometrical smo ..."
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S and e S be two C 1 bicubic Bspline surface patches in the 3dimensional space (3 D) with parametric knot sequences f(u i ; v j ) : 0 i 2m + 5; 0 j 2n + 5g and f(~u i ; ~ v j ) : 0 i 2 ~ m + 5; 0 j 2~n + 5g, respectively. That is, S and e S can be represented as finite tensorproduct cubic
Reconstruction of bspline surfaces from scattered data points
, 2000
"... We present a new approach for reconstructing a smooth surface from a set of scattered points in threedimensional (3D) space. Our algorithm first decomposes a given point set into a quadtreelike data structure known as a strip tree. The strip tree is used to fit a set of least squares quadratic sur ..."
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Cited by 7 (1 self)
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surfaces to the data points. These quadratic surfaces are then degreeelevated to bicubic surfaces and blended together to form a set of Bspline surfaces that approximates the given point set. 1.
Recursively generated Bspline surfaces on . . .
, 1978
"... This paper describes a method for recursive/y generating surfaces that approximate points lying on a mesh of arbitrary topology. The method is presented as a generalization of a recursive bicubic Bspline patch subdivision algorithm. For rectangular controlpoint meshes, the method generates a stand ..."
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Cited by 6 (0 self)
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This paper describes a method for recursive/y generating surfaces that approximate points lying on a mesh of arbitrary topology. The method is presented as a generalization of a recursive bicubic Bspline patch subdivision algorithm. For rectangular controlpoint meshes, the method generates a
Regularization of BSpline Objects
"... By a ddimensional Bspline object (denoted as O d), we mean a Bspline curve (d = 1), a Bspline surface (d = 2) or a Bspline volume (d = 3). By regularization of a Bspline object O d we mean a process of relocating the control points of O d such that it approximates an isometric map of its defin ..."
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Cited by 1 (0 self)
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By a ddimensional Bspline object (denoted as O d), we mean a Bspline curve (d = 1), a Bspline surface (d = 2) or a Bspline volume (d = 3). By regularization of a Bspline object O d we mean a process of relocating the control points of O d such that it approximates an isometric map of its
Results 1  10
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206