Results 1 - 10 of 7,076

Budget Sampling of Parametric Surface Patches

by Jatin Chhugani
"... 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 ray-traced. The main idea is to pre-compute a set of samples on the surface and at the rendering time, use a subset that meets ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
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 ray-traced. The main idea is to pre-compute a set of samples on the surface and at the rendering time, use a subset

Free-form deformation of solid geometric models

by Thomas W. Sederberg, Scott R. Parry - IN PROC. SIGGRAPH 86 , 1986
"... A technique is presented for deforming solid geometric models in a free-form manner. The technique can be used with any solid modeling system, such as CSG or B-rep. It can deform surface primitives of any type or degree: planes, quadrics, parametric surface patches, or implicitly defined surfaces, f ..."
Abstract - Cited by 701 (1 self) - Add to MetaCart
A technique is presented for deforming solid geometric models in a free-form manner. The technique can be used with any solid modeling system, such as CSG or B-rep. It can deform surface primitives of any type or degree: planes, quadrics, parametric surface patches, or implicitly defined surfaces

Gromov-Witten classes, quantum cohomology, and enumerative geometry

by M. Kontsevich, Yu. Manin - 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 ..."
Abstract - Cited by 474 (3 self) - Add to MetaCart
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 N-sided patches

by John A. Gregory, Vincent K. H. Lau, Jianwei Zhou - 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 n-sided hole occurring within a smooth rectangular patch complex. A number of solutions to this proble ..."
Abstract - Cited by 12 (0 self) - Add to MetaCart
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 n-sided hole occurring within a smooth rectangular patch complex. A number of solutions

View-Dependent Refinement of Progressive Meshes

by Hugues Hoppe
"... Level-of-detail (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 view-independent LOD. In this paper, ..."
Abstract - Cited by 459 (5 self) - Add to MetaCart
, smooth visual transitions (geomorphs) can be constructed between any two selectively refined meshes. A number of previous schemes create view-dependent 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 three-dimensional motion parameters of a rigid planar patch, III: Finite point correspondences and three-view problem

by Roger Y. Tsai, Thomas, S. Huang - 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 co-recip-ient of the RCA Research Award for the development of a supercon-ductive parametric amplifier. In 19 ..."
Abstract - Cited by 398 (3 self) - Add to MetaCart
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 co-recip-ient of the RCA Research Award for the development of a supercon-ductive parametric amplifier

Casting Curved Shadows on Curved Surfaces

by Lance Williams - In Computer Graphics (SIGGRAPH ’78 Proceedings , 1978
"... Shadowing has historically been used to increase the intelligibility of scenes in electron micros-copy and aerial survey. Various methods have been published for the determination of shadows in com-puter synthesized scenes. The display of shadows may make the shape and relative position of objects i ..."
Abstract - Cited by 401 (1 self) - Add to MetaCart
to display shadows cast by objects modelled of smooth surface patches. The method can be applied

Pyramidal parametrics

by Lance Williams - Computer Graphics (SIGGRAPH ’83 Proceedings , 1983
"... The mapping of images onto surfaces may substantially increase the realism and information content of computer-generated 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 ..."
Abstract - Cited by 304 (1 self) - Add to MetaCart
; 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

by Michael S. Floater - 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. ..."
Abstract - Cited by 290 (10 self) - Add to MetaCart
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

by Xianfeng Gu, Steven J. Gortler, Hugues Hoppe - 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 ..."
Abstract - Cited by 342 (24 self) - Add to MetaCart
only semi-regular meshes. The original mesh is typically decomposed into a set of disk-like 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 of 7,076