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» Approximating and Intersecting Surfaces from Points
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GMP
2006
IEEE
137views Solid Modeling» more  GMP 2006»
13 years 11 months ago
Theoretically Based Robust Algorithms for Tracking Intersection Curves of Two Deforming Parametric Surfaces
Abstract. This paper presents the mathematical framework, and develops algorithms accordingly, to continuously and robustly track the intersection curves of two deforming parametri...
Xianming Chen, Richard F. Riesenfeld, Elaine Cohen...
TASE
2010
IEEE
12 years 11 months ago
Surface Patch Reconstruction From "One-Dimensional" Tactile Data
This paper studies the reconstruction of unknown curved surfaces through finger tracking. A patch can be generated from tactile data points along three concurrent surface curves un...
Yan-Bin Jia, Jiang Tian
PG
2007
IEEE
13 years 11 months ago
Image-Space Caustics and Curvatures
Caustics are important visual phenomena, as well as challenging global illumination effects in computer graphics. Physically caustics can be interpreted from one of two perspectiv...
Xuan Yu, Feng Li, Jingyi Yu
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
13 years 6 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain
SCALESPACE
2009
Springer
13 years 9 months ago
From a Single Point to a Surface Patch by Growing Minimal Paths
Abstract. We introduce a novel implicit approach for surface patch segmentation in 3D images starting from a single point. Since the boundary surface of an object is locally homeom...
Fethallah Benmansour, Laurent D. Cohen