Monotonicity Preserving Surface Interpolation, SIAM Journal on Numerical Analysis, vol.22, issue.2, pp.401-411, 1985. ,
DOI : 10.1137/0722024
An Algorithm for Monotone Piecewise Bicubic Interpolation, SIAM Journal on Numerical Analysis, vol.26, issue.1, pp.230-238, 1989. ,
DOI : 10.1137/0726013
Linear convexity conditions for rectangular and triangular Bernstein-B??zier surfaces, Computer Aided Geometric Design, vol.15, issue.1, pp.27-38, 1997. ,
DOI : 10.1016/S0167-8396(97)81783-9
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.128.1878
Variation diminishing properties and convexity for the tensor product Bernstein operator, Functional Analysis and Operator Theory, pp.18-32, 1007. ,
DOI : 10.1016/0021-9045(87)90002-5
Are rational B??zier surfaces monotonicity preserving?, Computer Aided Geometric Design, vol.24, issue.5, pp.303-306, 2007. ,
DOI : 10.1016/j.cagd.2007.03.006
Hierarchical Morse--Smale Complexes for Piecewise Linear 2-Manifolds, Discrete and Computational Geometry, vol.30, issue.1, pp.87-107, 2003. ,
DOI : 10.1007/s00454-003-2926-5
Triangular Bernstein-B??zier patches, Computer Aided Geometric Design, vol.3, issue.2, pp.83-127, 1986. ,
DOI : 10.1016/0167-8396(86)90016-6
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code, 1996. ,
A smoothness criterion for monotonicity-preserving subdivision, Advances in Computational Mathematics, vol.44, issue.1, pp.193-204, 2013. ,
DOI : 10.1007/s10444-012-9275-y
Tensor-product monotonicity preservation, Advances in Computational Mathematics, vol.934, pp.353-3621018906027191, 1998. ,
Monotonicity preservation on triangles, Mathematics of Computation, vol.69, issue.232, pp.1505-1519, 2000. ,
DOI : 10.1090/S0025-5718-99-01176-X
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.100.9694
Fitting Monotone Surfaces to Scattered Data Using C1 Piecewise Cubics, SIAM Journal on Numerical Analysis, vol.34, issue.2, pp.569-585, 1997. ,
DOI : 10.1137/S0036142994268582
Surface fitting using convex tensor-product splines, Journal of Computational and Applied Mathematics, vol.84, issue.1, pp.23-44, 1997. ,
DOI : 10.1016/S0377-0427(97)00100-3
Monotonicity preserving interpolatory subdivision schemes, Journal of Computational and Applied Mathematics, vol.101, issue.1-2, pp.203-229, 1999. ,
DOI : 10.1016/S0377-0427(98)00220-9
URL : http://doi.org/10.1016/s0377-0427(98)00220-9
Monotonicity preserving representations of non-polynomial surfaces, Journal of Computational and Applied Mathematics, vol.233, issue.9, pp.2161-2169, 2010. ,
DOI : 10.1016/j.cam.2009.09.045
Algorithms for computing shape preserving spline interpolations to data, Mathematics of Computation, vol.31, issue.139, pp.717-725, 1977. ,
DOI : 10.1090/S0025-5718-1977-0448805-0
On Gradient Dynamical Systems, The Annals of Mathematics, vol.74, issue.1, pp.199-206, 1961. ,
DOI : 10.2307/1970311
On convolutions of B-splines, Journal of Computational and Applied Mathematics, vol.55, issue.1, pp.1-290377, 1994. ,
DOI : 10.1016/0377-0427(94)90182-1
Smoothing scattered data with a monotone Powell-Sabin spline surface, Numerical Algorithms, vol.27, issue.1, pp.215-231, 1996. ,
DOI : 10.1007/BF02141749