A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Geometric partial differential equations and image analysis
Geometric partial differential equations and image analysis
Anisotropic geometric diffusion in surface processing
Proceedings of the conference on Visualization '00
Geometry-Driven Diffusion in Computer Vision
Geometry-Driven Diffusion in Computer Vision
Image Processing via the Beltrami Operator
ACCV '98 Proceedings of the Third Asian Conference on Computer Vision-Volume I - Volume I
Generating Fair Meshes with G1 Boundary Conditions
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Estimating normal vectors and curvatures by centroid weights
Computer Aided Geometric Design
A Choice of Weights for Convex Combination Methods in Estimating Partial Derivatives
CGIV '04 Proceedings of the International Conference on Computer Graphics, Imaging and Visualization
A Geometric Interpretation of Weighted Normal Vectors and Its Improvements
CGIV '05 Proceedings of the International Conference on Computer Graphics, Imaging and Visualization
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In this note we shall develop a simple, effective algorithm to estimate the first and the second partial derivatives for 2D digital data points. First, we shall follow the ideas given in Chen, Chi and Wu (2005) to define the discrete gradient of a function on a 2D digital data. Our method will work for boundary points. This will allow us shall define the Laplace operator acting on functions on the 2D digital data. Some numerical results will be presented to show our algorithm is very accurate.