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Budget Sampling of Parametric Surface Patches
"... We investigate choosing point samples on a model comprising parametric patches to meet a user specified budget. These samples may then be triangulated, rendered as points or raytraced. The main idea is to precompute a set of samples on the surface and at the rendering time, use a subset that meets ..."
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Cited by 1 (0 self)
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We investigate choosing point samples on a model comprising parametric patches to meet a user specified budget. These samples may then be triangulated, rendered as points or raytraced. The main idea is to precompute a set of samples on the surface and at the rendering time, use a subset
Freeform deformation of solid geometric models
 IN PROC. SIGGRAPH 86
, 1986
"... A technique is presented for deforming solid geometric models in a freeform manner. The technique can be used with any solid modeling system, such as CSG or Brep. It can deform surface primitives of any type or degree: planes, quadrics, parametric surface patches, or implicitly defined surfaces, f ..."
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Cited by 701 (1 self)
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A technique is presented for deforming solid geometric models in a freeform manner. The technique can be used with any solid modeling system, such as CSG or Brep. It can deform surface primitives of any type or degree: planes, quadrics, parametric surface patches, or implicitly defined surfaces
GromovWitten classes, quantum cohomology, and enumerative geometry
 Commun. Math. Phys
, 1994
"... The paper is devoted to the mathematical aspects of topological quantum field theory and its applications to enumerative problems of algebraic geometry. In particular, it contains an axiomatic treatment of Gromov–Witten classes, and a discussion of their properties for Fano varieties. Cohomological ..."
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Cited by 474 (3 self)
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Field Theories are defined, and it is proved that tree level theories are determined by their correlation functions. Application to counting rational curves on del Pezzo surfaces and projective spaces are given. Let V be a projective algebraic manifold. Methods of quantum field theory recently led to a
Smooth parametric surfaces and Nsided patches
 Computation of Curves and Surfaces
, 1990
"... CAGD is reviewed. In particular, we are concerned with how parametric surface patches for CAGD can be pieced together to form a smooth Ck surface. The theory is applied to the problem of filling an nsided hole occurring within a smooth rectangular patch complex. A number of solutions to this proble ..."
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Cited by 12 (0 self)
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CAGD is reviewed. In particular, we are concerned with how parametric surface patches for CAGD can be pieced together to form a smooth Ck surface. The theory is applied to the problem of filling an nsided hole occurring within a smooth rectangular patch complex. A number of solutions
ViewDependent Refinement of Progressive Meshes
"... Levelofdetail (LOD) representations are an important tool for realtime rendering of complex geometric environments. The previously introduced progressive mesh representation defines for an arbitrary triangle mesh a sequence of approximating meshes optimized for viewindependent LOD. In this paper, ..."
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Cited by 459 (5 self)
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, smooth visual transitions (geomorphs) can be constructed between any two selectively refined meshes. A number of previous schemes create viewdependent LOD meshes for height fields (e.g. terrains) and parametric surfaces (e.g. NURBS). Our framework also performs well for these special cases. Notably
Estimating threedimensional motion parameters of a rigid planar patch, III: Finite point correspondences and threeview problem
 in Proc. IEEE Int. Conf ASSP
"... noise electron tubes, and superconductive parametric and storage devices. In 1965 he performed an experiment which first proved the existence of the Magnus force in superconductors and was a corecipient of the RCA Research Award for the development of a superconductive parametric amplifier. In 19 ..."
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Cited by 398 (3 self)
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noise electron tubes, and superconductive parametric and storage devices. In 1965 he performed an experiment which first proved the existence of the Magnus force in superconductors and was a corecipient of the RCA Research Award for the development of a superconductive parametric amplifier
Casting Curved Shadows on Curved Surfaces
 In Computer Graphics (SIGGRAPH ’78 Proceedings
, 1978
"... Shadowing has historically been used to increase the intelligibility of scenes in electron microscopy and aerial survey. Various methods have been published for the determination of shadows in computer synthesized scenes. The display of shadows may make the shape and relative position of objects i ..."
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Cited by 401 (1 self)
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to display shadows cast by objects modelled of smooth surface patches. The method can be applied
Pyramidal parametrics
 Computer Graphics (SIGGRAPH ’83 Proceedings
, 1983
"... The mapping of images onto surfaces may substantially increase the realism and information content of computergenerated imagery. The projection of a flat source image onto a curved surface may involve sampling difficulties, however, which are compounded as the view of the surface changes. As the pr ..."
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Cited by 304 (1 self)
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; prefiltering and sampling geometry which minimizes aliasing effects and assures continuity within and between target images. Although the mapping of texture onto surfaces is an excellent example of the process and provided the original motivation for its development, pyramidal parametric data structures admit
Parametrization and smooth approximation of surface triangulations
 COMPUTER AIDED GEOMETRIC DESIGN
, 1997
"... A method based on graph theory is investigated for creating global parametrizations for surface triangulations for the purpose of smooth surface fitting. The parametrizations, which are planar triangulations, are the solutions of linear systems based on convex combinations. ..."
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Cited by 290 (10 self)
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A method based on graph theory is investigated for creating global parametrizations for surface triangulations for the purpose of smooth surface fitting. The parametrizations, which are planar triangulations, are the solutions of linear systems based on convex combinations.
Geometry images
 IN PROC. 29TH SIGGRAPH
, 2002
"... Surface geometry is often modeled with irregular triangle meshes. The process of remeshing refers to approximating such geometry using a mesh with (semi)regular connectivity, which has advantages for many graphics applications. However, current techniques for remeshing arbitrary surfaces create onl ..."
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Cited by 342 (24 self)
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only semiregular meshes. The original mesh is typically decomposed into a set of disklike charts, onto which the geometry is parametrized and sampled. In this paper, we propose to remesh an arbitrary surface onto a completely regular structure we call a geometry image. It captures geometry as a
Results 1  10
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