Folks, would this topic be suitable for some corner of Sage ? It would need applets / at least wireframe pictures to liven it up but I'd need examples / handholding for that. Please let me know. Thanks, cheers
4-triangle roof for interpolation and least squares Abstract: Interpolation or blending in triangles, and triangular meshes, are both well-known in math for graphics. This note introduces these topics at an elementary level, using this split of one triangle into 4: C / \ / \ xA + yB + cZ, x+y+z = 1 .-----. 1 0 0 is A, / \ / \ x >= 1/2 is the lower left triangle, / \ / \ x y z all <= 1/2 is the middle triangle A-----.-----B Fold the outer small triangles along the 3 seams, to make a 4-triangle "roof"; this can fit a round surface better than a single plane. Keywords: interpolation, piecewise-linear, triangle, mesh, Python Contents: 1. blending in a triangle 2. splitting a triangle / a cube into 4 pieces 3. interpolation with 4 triangles 4. roof4 least squares ... 3-page note w snippets of Python --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---