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35
Continuity ofB�ezier patches
"... The paper is concerned about the question of smooth glueing of triangular B�ezier patches. In the begining polar forms are brie�y explained. After that they are applied on parametric continuity. We'll obtain a geometric interpretation of C 1 and C 2 smoothly joined B�ezier patches. In the next ..."
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The paper is concerned about the question of smooth glueing of triangular B�ezier patches. In the begining polar forms are brie�y explained. After that they are applied on parametric continuity. We'll obtain a geometric interpretation of C 1 and C 2 smoothly joined B�ezier patches. In the next
Continuity of Bézier patches
"... The paper is concerned about the question of smooth glueing of triangular B'ezier patches. In the begining polar forms are briefly explained. After that they are applied on parametric continuity. We'll obtain a geometric interpretation of C 1 and C 2 smoothly joined B'ezier patche ..."
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The paper is concerned about the question of smooth glueing of triangular B'ezier patches. In the begining polar forms are briefly explained. After that they are applied on parametric continuity. We'll obtain a geometric interpretation of C 1 and C 2 smoothly joined B'ezier
A Kinematic Model of the Human Arm Using Triangular B'ezier Spline Surfaces
, 2000
"... . This paper presents a kinematic model of the human arm in which the workspace of the elbow is modeled as a triangular B'ezier spline surface. It is also explained how this model is used for solving forward and inverse kinematics in computer animation systems. In order to solve inverse kinemat ..."
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kinematics problems, it is necessary to find a curve on the surface modeling the elbow workspace. This curve is obtained as the intersection of the surface and a sphere. We present an algorithm for computing this curve, using the fact that triangular B'ezier patch can be efficiently subdivided
On Degenerate Surface Patches
, 1992
"... A local construction of a GC 1 interpolating surface to given scattered data in R 3 can give rise to degenerate BernsteinB'ezier patches. That means the parametrization at vertices is not regular in the sense that the length of the tangent vector to any curve passing through a vertex is z ..."
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Cited by 1 (1 self)
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A local construction of a GC 1 interpolating surface to given scattered data in R 3 can give rise to degenerate BernsteinB'ezier patches. That means the parametrization at vertices is not regular in the sense that the length of the tangent vector to any curve passing through a vertex
Simple Methods For Drawing Rational Surfaces as Four or Six Bézier Patches
 University of Pennsylvania
, 1999
"... . In this paper, we give several simple methods for drawing a whole rational surface (without base points) as several B'ezier patches. The first two methods apply to surfaces specified by triangular control nets and partition the real projective plane RP 2 into four and six triangles respecti ..."
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Cited by 2 (2 self)
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. In this paper, we give several simple methods for drawing a whole rational surface (without base points) as several B'ezier patches. The first two methods apply to surfaces specified by triangular control nets and partition the real projective plane RP 2 into four and six triangles
From Degenerate Patches to Triangular and Trimmed Patches
 CURVES AND SURFACES
, 1997
"... CAD systems are usually based on a tensor product representation of free form surfaces. In this case, trimmed patches are used for modeling non rectangular zones. Trimmed patches provide a reasonable solution for the representation of general topologies, provided that the gap between equivalent trim ..."
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Cited by 1 (1 self)
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. In the present paper, two algorithms for converting degenerate tensorproduct patches into triangular and trimmed rectangular patches are presented. The algorithms are based on specific degree reduction algorithms for B'ezier curves. In both algorithms, the final surface approximates the initial one in a
Simplifying Spline Models
 Computational Geometry
, 1999
"... We present a new approach for simplifying models composed of rational spline patches. Given an input model, the algorithm computes a new approximation of the model in terms of cubic triangular B#ezier patches. It performs a series of geometric operations, consisting of patch merging and swapping ..."
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Cited by 1 (0 self)
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We present a new approach for simplifying models composed of rational spline patches. Given an input model, the algorithm computes a new approximation of the model in terms of cubic triangular B#ezier patches. It performs a series of geometric operations, consisting of patch merging and swapping
Geometric Interpretation of Smoothness Conditions of Triangular Polynomial Patches
 CAGD
, 1997
"... In this short note we give geometric interpretation of the wellknown smoothness conditions of two adjacent polynomial patches. Our result generalizes Farin's observations in [Farin'83] and [Farin'86]. Keywords. BernsteinB'ezier form, Polynomial Patches, Smoothness Conditions. ..."
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Cited by 12 (3 self)
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In this short note we give geometric interpretation of the wellknown smoothness conditions of two adjacent polynomial patches. Our result generalizes Farin's observations in [Farin'83] and [Farin'86]. Keywords. BernsteinB'ezier form, Polynomial Patches, Smoothness Conditions.
Fair Surface Reconstruction Using Quadratic Functionals
, 1995
"... An algorithm for surface reconstruction from a polyhedron with arbitrary topology consisting of triangular faces is presented. The first variant of the algorithm constructs a curve network consisting of cubic B'ezier curves meeting with tangent plane continuity at the vertices. This curve netwo ..."
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Cited by 4 (0 self)
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network is extended to a smooth surface by replacing each of the networks facets with a split patch consisting of three triangular B'ezier patches. The remaining degrees of freedom of the curve network and the split patches are determined by minimizing a quadratic functional. This optimization
Animating Speech from Motion Fragments
, 2004
"... The animation of facial expression has become a popular area of research in the past ten years, in particular with its application to avatar technology and naturalistic user interfaces. In this paper we describe a method to animate speech from small fragments of motioncaptured sentences. A dataset ..."
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Cited by 1 (1 self)
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of domainspecific sentences are captured and phonetically labelled, and from these sentences fragments are retrieved and blended to produce novel utterances. The movement of the motioncaptured points is mapped onto a surface representation using a deformation technique based upon triangular B ezier
Results 1  10
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