水汽 发表于 2025-3-30 10:52:08
Vector Spaces, Affine Spaces, and Metric Spaces but as a point of reference and a brush up..First, we present the basic concepts of linear algebra: vector space, subspace, basis, dimension, linear map, matrix, determinant, eigenvalue, eigenvector, inner product. This should all be familiar concepts, but what might be less familiar is the abstraccortex 发表于 2025-3-30 13:35:27
Differential Geometryamental form, the Gauß and Weingarten map, normal and geodesic curvature, principal curvatures and directions, the Gaußian and mean curvature, the Gauß–Bonnet theorem and the Laplace–Beltrami operator. We end by a brief study of implicitly defined surfaces..It is not meant as a course in differentiaMuscularis 发表于 2025-3-30 19:00:15
http://reply.papertrans.cn/40/3909/390802/390802_53.pngticlopidine 发表于 2025-3-30 22:59:03
Polygonal Meshes the simplicity of the representation combined with the fact that computers are increasingly able to deal with the large amounts of data needed in order to represent a smooth surface using polygons..In this chapter, we cover the basic notions of a polygonal meshes: faces, edges, vertices. We move on四溢 发表于 2025-3-31 03:22:19
http://reply.papertrans.cn/40/3909/390802/390802_55.png挑剔为人 发表于 2025-3-31 08:11:46
Subdivision a close connection to spline curves with a uniform knot vector and uniform tensor product surfaces. However, subdivision surfaces are useful in slightly different scenarios. Put briefly, subdivision is generally more useful for animation, and splines are more useful for geometric design..First we s