On surface interpolation
نویسندگان
چکیده
منابع مشابه
Trans nite Surface Interpolation
A transsnite surface interpolant is one which matches given curves exactly, in contrast to a nite-dimensional one, which matches a nite number of conditions. This paper attempts to place the more signiicant contributions to this theory in a unifying context, in a way which may lead to future advances. After initial sections, which describe the need for transsnite interpolation and introduces th...
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Although the role of surface-level processes has been demonstrated, visual interpolation models often emphasize contour relationships. We report two experiments on geometric constraints governing 3D interpolation between surface patches without visible edges. Observers were asked to classify pairs of planar patches specified by random dot disparities and visible through circular apertures (alig...
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Given a finite subset Ξ ⊂ R and data |Ξ , the surface spline interpolant to the data |Ξ is a function s which minimizes a certain seminorm subject to the interpolation conditions |Ξ = |Ξ . It is known that surface spline interpolation is stable on the Sobolev space W in the sense that ‖s‖L∞(Ω) ≤ const ‖f‖Wm , where m is an integer parameter which specifies the surface spline. In this note we sh...
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By the Fricke surfaces, we mean the space defined by the equation p2 + q2 + r2 − pqr− k = 0 in the space R(p, q, r). When k = 0, it is naturally isomorphic to the moduli of once-punctured tori. It was Markoff who found the transformations, called Markoff transformations, acting on the Fricke surface. The transformation is typically given by (p, q, r) → (r, q, rq − p) acting on R3 that keeps the...
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Observers viewed flashed random-dot stereograms depicting a pair of long, narrow, curved ribbons of textured surface defined by a Gabor function in disparity. Observers judged the location of the peak of the depth profile of one ribbon relative to that of the other. In one ribbon, disparity changed smoothly while in the other disparity was periodically sampled. Up to a limiting sampling period,...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1975
ISSN: 0021-9045
DOI: 10.1016/0021-9045(75)90103-3