A paper on Computational Topology that contains some important concepts.
A note on some prelim concepts on topology
Class note 1 (Introduction to curves)
Class note 2 (Bezier curve I)
Class note 3 (Bezier curve II)
Class note 4 (Subdivision curve)
Class note 5 (Introduction to B-splines)
Class note 6 (B-splines II)
Class note 7 (Matrix form for B-spline curves)
Class note 8 (Matrix based subdivision)
Class note 9 (More on curve modeling
)
Class note 10 (Basic surface topology)
Class note 11 (Surface equations and curvatures)
Class note 12 (Bezier surface)
Class note 13 (Bezier surface II)
Class note 14 (de Casteljau for Bezier surface)
Class note 15 (B-spline surface I)
Class note 16 (B-spline surface II)
Class note 17 (Biquadratic B-spline subdivision)
Class note 18 (Doo-Sabin Subdivision)
Class note 19 (Bicubic B-spline subdivision)
Class note 20 (Catmull-Clark subdivision and Loop surfaces)
Class note 21 (B-rep and Boolean operations)
Class note 22 (CSG representation and Euler operator)
Class note 23 (Voronoi Diagram and Delaunay Triangulation)
Class note 24 (Voronoi and Delaunay II)
Class note 25 (Sampling)
Class note 26 (Curve reconstruction)
Class note 27(Curve Reconstruction Correctness)
A Chapter on Curve reconstruction
(new)
Class note 28(Surface Reconstruction )
Class note 29(Edge contraction)
Class note 30(Topology preserving contraction)
Class note 31(Error metric)