Function Representation in Geometric Modeling: Concepts, Implementation and Applications

Function Representation in Geometric Modeling: Concepts, Implementation and Applications (1995)

Cached

Download Links

[www.aizu.com]

Other Repositories/Bibliography

DBLP

by Alexander Pasko , Valery Adzhiev , Alexei Sourin , Vladimir Savchenko

Citations:

113 - 26 self

BibTeX

@MISC{Pasko95functionrepresentation,
    author = {Alexander Pasko and Valery Adzhiev and Alexei Sourin and Vladimir Savchenko},
    title = {Function Representation in Geometric Modeling: Concepts, Implementation and Applications},
    year = {1995}
}

Years of Citing Articles

Bookmark

OpenURL

Abstract

This paper presents a state of the art report of our project, the main objectives of which are: -- Categorization and summary of the geometric concepts required in a functionally based modeling environment; -- Elaboration of a rich system of geometric operations closed on functionally represented objects; -- Treatment of multidimensional and particularly space-time objects in a uniform manner; 6

Citations

152	Superquadrics and angle-preserving transformations - Barr - 1981
130	Curved Surfaces and Coherence for Non-penetrating Rigid Body Simulation - Baraff - 1990
120	Volumetric shape description of range data using "blobby model - Muraki - 1991
89	Interval arithmetic and recursive subdivision for implicit functions and constructive solid geometry, SIGGRAPH - Duff - 1992
89	A constructive geometry for computer graphics - Ricci - 1973
64	Cline HE: Marching cubes: A high resolution 3D surface construction algorithm - WE
47	Polygonization of implicit surfaces. Computer Aided Geometric Design 5 - BLOOMENTHAL - 1988
37	Real functions for representation of rigid solids - Shapiro - 1994
30	Separation for boundary to CSG conversion - Shapiro, Vossler - 1993
23	Blending algebraic surfaces - WARREN - 1989
18	occam 2: Reference Manual - INMOS - 1988
17	The potential method for blending surfaces and corners - Hoffmann, Hopcroft - 1987
14	Higher-Order Interpolation and Least-Squares Approximation Using Implicit Algebraic Surfaces - BAJAJ, IHM, et al. - 1993
11	A unified approach for physical and geometric modeling for graphics and animation”, proc - Essa, Scarloff, et al. - 1992
11	Theory of r-functions and applications: a primer - Shapiro - 1988
8	A generalization of algebraic surface drawing - JF - 1982
7	Interactive techniques for implicit modelling”, Computer Graphics (proc - Bloomenthal, Wyvill - 1990
6	Representations for rigid solids: theory, methods and systems. Computing Surveys - AAG - 1980
5	Geometric and Solid Modeling - CM - 1989
3	instrumental tools for a direct method of multidimensional geometric problems solving with a computer - Pasko - 1988
2	Global and local deformations of solid primitives, Computer Graphics - AH - 1984
2	Evaluating definitive principles for interaction in graphics - WM - 1989
2	Pilyugin V, Pokrovskiy V - Pasko - 1988
2	Rossignac JR - AAG - 1992
2	Methods of logic algebra in mathematical physics - VL - 1974
1	Interactive geometric modeling based on R-functions: an agent-oriented approach - VD, WM, et al. - 1994
1	Sculpting: an interactive volumetric modeling technique, Computer Graphics - TA, JF - 1991
1	An implicit formulation for precise contact modeling between flexible solids - MP - 1993
1	Implicit curves and surfaces - CM - 1993
1	Scheduled Fourier volume morphing, Computer Graphics - JF - 1992
1	Blend surfaces for set theoretic volume modeling systems, Computer Graphics - AE, KH - 1985
1	Adzhiev V, Prostakov I - Pasko - 1992
1	Savchenko V, Adzhiev V, Sourin A (1993a) Multidimensional geometric modeling and visualization based on the function representation of objects - Pasko
1	Savchenko VV, Adzhiev VD (1993b) Educational project: Empty Case technology of geometric modeling - AA
1	Savchenko VV - AA - 1993
1	Savchenko VV (1994a) Blending operations for the functionally based constructive geometry, Set Theoretic Solid Modeling - AA
1	Savchenko VV (1994b) Offsetting operations for the functionally based constructive geometry, 6th International Conference on Engineering Computer Graphics and Descriptive Geometry - AA - 1988
1	The displacement method for implicit blending surfaces in solid models - AP - 1989
1	On the analytical description of some geometric objects, Reports of Ukrainian Academy of Sciences - VL - 1963
1	AA, Okunev OG, Kunii TL - Pasko - 1994
1	Parallel polygonization of implicit surfaces on transputers - AA - 1994
1	Cutting cubes - visualizing implicit surfaces by adaptive polygonization, Visual Computer - MFW - 1993
1	On B-rep to F-rep conversion, private communication Snyder JM - Shapiro - 1994
1	Interval methods for multi-point collisions between time-dependent curved surfaces - JM, AR, et al. - 1993
1	Mathematics and software for problems of timedependent geometry - AI - 1988
1	Geometric modeling for NC machining with functionally represented moving solids - AI, AA - 1994
1	Wyvill B (1986a) Data structure for soft objects, The Visual Computer - Wyvill, McPheeters