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Piecewise smooth surface reconstruction
, 1994
"... We present a general method for automatic reconstruction of accurate, concise, piecewise smooth surface models from scattered range data. The method can be used in a variety of applications such as reverse engineering — the automatic generation of CAD models from physical objects. Novel aspects of t ..."
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Cited by 303 (13 self)
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We present a general method for automatic reconstruction of accurate, concise, piecewise smooth surface models from scattered range data. The method can be used in a variety of applications such as reverse engineering — the automatic generation of CAD models from physical objects. Novel aspects of the method are its ability to model surfaces of arbitrary topological type and to recover sharp features such as creases and corners. The method has proven to be effective, as demonstrated by a number of examples using both simulated and real data. A key ingredient in the method, and a principal contribution of this paper, is the introduction of a new class of piecewise smooth surface representations based on subdivision. These surfaces have a number of properties that make them ideal for use in surface reconstruction: they are simple to implement, they can model sharp features concisely, and they can be fit to scattered range data using an unconstrained optimization procedure.
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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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 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 is to directly reconstruct a surface of arbitrary topological type. We must therefore define the surface as a network of Bspline patches. A key ingredient in our solution is a scheme for automatically constructing both a network of patches and a parametrization of the data points over these patches. In addition, we define the Bspline surface using a surface spline construction, and demonstrate that such an approach leads to an efficient procedure for fitting the surface while maintaining tangent plane continuity. We explore adaptive refinement of the patch network in order to satisfy userspecified error tolerances, and demonstrate our method on both synthetic and real data.
NSided Hole Filling and Vertex Blending Using Subdivision Surfaces
 Journal of Information Science and Engineering
, 2003
"... To fill an Nsided hole on a NURBS surface and to blend a corner formed by NURBS surfaces, we propose a regular Nsided open uniform quadratic subdivision surface derived by applying the open uniform quadratic subdivision scheme to a regular Nsided control mesh which is confined to the hole or to t ..."
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Cited by 2 (0 self)
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To fill an Nsided hole on a NURBS surface and to blend a corner formed by NURBS surfaces, we propose a regular Nsided open uniform quadratic subdivision surface derived by applying the open uniform quadratic subdivision scheme to a regular Nsided control mesh which is confined to the hole or to the region of the vertex blend. Boundary conditions such as C 0 and G 1continuity required for the hole filling and vertex blending, are ensured by certain refinement steps performed in the course of the subdivision. The shape of the filling or blending surface is controlled by using fullness parameters. Methods are also proposed to represent the resulting regular Nsided open uniform quadratic subdivision surface using nonuniform rational Bspline surfaces.
Boundary Control of Subdivision Surfaces Using an Open Uniform Quadratic Subdivision Scheme *
"... The ability to control boundary behaviors is critical for the subdivision surface to become a useful representation in computer aided geometric design. Previous methods achieve boundary control by extending the boundary vertices of the control mesh, or by applying different subdivision rules to the ..."
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Cited by 1 (1 self)
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The ability to control boundary behaviors is critical for the subdivision surface to become a useful representation in computer aided geometric design. Previous methods achieve boundary control by extending the boundary vertices of the control mesh, or by applying different subdivision rules to the boundary edges and vertices. This paper presents an open uniform quadratic subdivision scheme derived from the subdivision of open uniform Bspline surfaces. For meshes with 4sided boundary and corner faces, the crosstangent along the boundary curves can also be derived. The proposed scheme leads to a straightforward boundary control that enables two subdivision surfaces to be joined with C 0 and C 1continuity.