Quadratic splines on quad-tri meshes: Construction and an application to simulations on watertight reconstructions of trimmed surfaces

Given an unstructured mesh consisting of quadrilaterals and triangles (we allow both planar and non-planar meshes of arbitrary topology), we present the construction of quadratic splines of mixed smoothness — C¹ smooth away from the unstructured regions of T and C⁰ smooth otherwise. The splines have several useful B...

Raytracing Mirror Anamorphosis

Mirror anamorphosis is characterised by a distorted projection, where the combination of a mirror and a specific viewpoint lets the observer see the undistorted image. The use of this technique and complex perspective in general has gone from being niche to becoming mainstream. Raytracing poses itself as a solution to solving the math for such...

Compressing Digital Illustrative Art for Mobile Games by Means of 2D Triangle Meshes

Many games played on the mobile phone have become large in download size. A significant portion thereof is due to the many textures that are involved. However, many games have art styles that include clean drawings with gradients, solid colors, and hard lines. We observe that these images’ areas may be more efficiently described by interpolating...

Smoothness-Increasing Accuracy-Conserving Filters for Discontinuous Galerkin Solutions over Unstructured Triangular Meshes

The discontinuous Galerkin (DG) method has very quickly found utility in such diverse applications as computational solid mechanics, fluid mechanics, acoustics, and electromagnetics. The DG methodology merely requires weak constraints on the fluxes between elements. This feature provides a flexibility which is difficult to match with...