Algorithms are presented for constructing G1 continuous meshes of degree two (quadric) and degree three (cubic) implicitly defined, piecewise algebraic surfaces, which exactly fit any given collection of points and al...
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In recent years there has been a renewed interest in concrete aspects of Algebraic Geometry brought on by its applications to engineering and computer science. Especially for modeling problems it is useful to know whe...
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作者：
Girard, DidierCNRS
Institut IMAG Université Joseph Fourier Grenoble France
Smoothing spline preserving discontinuities, are defined by standard energy minimization problems except that discontinuities are allowed at some fixed breakpoints. A natural approach to locate discontinuities is to f...
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Transfinite interpolation techniques have been extended to cover rectangular patches having interior constraints. Interior constraints are specified along isoparametric lines defined partly are wholly over the paramet...
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A specification of the curvatures at all points determines the surface of an object uniquely except for a translation and a rotation. The aim of this study is to determine the curvatures at different points on various...
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We present a method for making accurate measurements of the instantaneous fractal dimension of (1) images modeled as fractal Brownian surfaces, and (2) images of physical surfaces modeled as fractal Brownian surfaces....
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Recently, physically-based models have been used to simulate fractures in solid objects. Due to the finite grid used in this type of simulation, aliasing artifacts occur at fracture edges revealing the structure of th...
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Gaussian curvature K and mean curvature H are stringent properties of surfaces. surfaces can be segmented based on the (K, H) sign pair, which classifies surfaces into eight types. To obtain a good KH sign image from ...
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This paper introduces a new symbolic representation for planar curves. Our approach unifies the problems of curve smoothing, curvature measurement, and curve decomposition. The technique is based on a smoothing operat...
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The precise specification of surface geometry of an aircraft is one of the most important and major activities in its design. An initial design, defined by the fundamental requirements, is iteratively analysed and mod...
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