E.A. Lord and C.B. Wilson, The Mathematical Description of Shape and Form, Ellis Horwood, Chichester, 1984. Home/Search Document Not in Database Summary Related Articles Check |
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Direct Least-Squares Fitting of Algebraic Surfaces - Pratt (1987) (49 citations) (Correct)
....of least squares tting of algebraic curves [1, 2, 3, 4, 9, 15, 16, 24, 25] and none whatsoever of least squares tting of nonplanar algebraic surfaces. By comparison least squares tting of parametric polynomial curves and surfaces is routinely treated in many papers and a number of textbooks [5, 7, 8, 13, 19]. In the case of least squares tting of surfaces there seems to be a universal impression that tting is only feasible for parametrically presented surfaces. Perhaps the single commonest failing of those papers that do treat algebraically presented curves is their casual adoption of ....
E.A. Lord and C.B. Wilson, The Mathematical Description of Shape and Form, Ellis Horwood, Chichester, 1984.
Discrete Active Models in Vision Geometry - Fejes, Rosenfeld (1996) (Correct)
....results suggest that the three dimensional surface patch defined by (11) resembles a minimal surface (see Figures 7 and 8) i.e. a surface which has the smallest possible surface area given its boundary curve. It can be shown that such a surface has mean curvature H = 0 (Plateau s problem, [68, 108]) This is the surface which is formed by, e.g. a soap bubble or an elastic membrane, since this corresponds to the least energy formation of the surface given its boundary. However, it can be shown that a closed curve evolved under Euclidean heat flow (or alternatively, migrated by A fl ) sweeps ....
....order derivatives X yy : 2 X y 2 . For simplicity, we omit the parameterization of the functions. We denote the scalar product (dot product) of vectors a and b by h a; bi. In this notation, equation (14) becomes C t = C ss ; C(0) C: 15) Consider the Second Fundamental Form [68] of surface patch C(s; t) which describes the mean curvature: H = 1 2 ( 1 2 ) GD Gamma 2FD 0 ED 00 EG Gamma F 2 ; 16) where E = hC s ; C s i D = Gammah N ; C ss i G = hC t ; C t i D 0 = Gammah N ; C st i F = hC s ; C t i D 00 = Gammah N ; C tt i; 17) where ....
E.A. Lord and C.B. Wilson. The Mathematical Description of Shape and Form. Ellis Horwood, 1984.
Unknown - Representation And Modeling (Correct)
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E.A. Lord and C.B. Wilson, The mathematical description of shape and form, Ellis Horwood, Chichester, 1986.
Design of Virtual Three-dimensional Instruments for Sound Control - Mulder (1998) (3 citations) (Correct)
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E.A. Lord and C.B. Wilson. The mathematical description of shape and form. New York, NY, USA: John Wiley and sons, 1984.
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